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Mathematics Theses, Projects, and Dissertations

Theses/projects/dissertations from 2024 2024.

On Cheeger Constants of Knots , Robert Lattimer

Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace

Theses/Projects/Dissertations from 2023 2023

DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim

An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson

Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko

MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud

Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega

Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov

Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez

Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil

KNOT EQUIVALENCE , Jacob Trubey

Theses/Projects/Dissertations from 2022 2022

SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade

The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles

Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen

de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox

Symmetric Generation , Ana Gonzalez

SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha

Simple Groups and Related Topics , Simrandeep Kaur

Homomorphic Images and Related Topics , Alejandro Martinez

LATTICE REDUCTION ALGORITHMS , Juan Ortega

THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger

Verifying Sudoku Puzzles , Chelsea Schweer

AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns

Theses/Projects/Dissertations from 2021 2021

Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena

Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez

SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona

Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne

MEASURE AND INTEGRATION , JeongHwan Lee

A Study in Applications of Continued Fractions , Karen Lynn Parrish

Partial Representations for Ternary Matroids , Ebony Perez

Theses/Projects/Dissertations from 2020 2020

Sum of Cubes of the First n Integers , Obiamaka L. Agu

Permutation and Monomial Progenitors , Crystal Diaz

Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez

Research In Short Term Actuarial Modeling , Elijah Howells

Hyperbolic Triangle Groups , Sergey Katykhin

Exploring Matroid Minors , Jonathan Lara Tejeda

DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan

Modeling the Spread of Measles , Alexandria Le Beau

Symmetric Presentations and Related Topics , Mayra McGrath

Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder

ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah

Excluded minors for nearly-paving matroids , Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019 2019

Fuchsian Groups , Bob Anaya

Tribonacci Convolution Triangle , Rosa Davila

VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday

Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James

Geodesics on Generalized Plane Wave Manifolds , Moises Pena

Algebraic Methods for Proving Geometric Theorems , Lynn Redman

Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.

THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham

Theses/Projects/Dissertations from 2018 2018

PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre

Monomial Progenitors and Related Topics , Madai Obaid Alnominy

Progenitors Involving Simple Groups , Nicholas R. Andujo

Simple Groups, Progenitors, and Related Topics , Angelica Baccari

Exploring Flag Matroids and Duality , Zachary Garcia

Images of Permutation and Monomial Progenitors , Shirley Marina Juan

MODERN CRYPTOGRAPHY , Samuel Lopez

Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna

Symmetric Presentations, Representations, and Related Topics , Adam Manriquez

Toroidal Embeddings and Desingularization , LEON NGUYEN

THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco

Tutte-Equivalent Matroids , Maria Margarita Rocha

Symmetric Presentations and Double Coset Enumeration , Charles Seager

MANUAL SYMMETRIC GENERATION , Joel Webster

Theses/Projects/Dissertations from 2017 2017

Investigation of Finite Groups Through Progenitors , Charles Baccari

CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez

Making Models with Bayes , Pilar Olid

An Introduction to Lie Algebra , Amanda Renee Talley

SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco

CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016 2016

Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh

Regular Round Matroids , Svetlana Borissova

GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros

REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney

Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis

BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee

ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez

LIFE EXPECTANCY , Ali R. Hassanzadah

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon

A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal

The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen

Probabilistic Methods In Information Theory , Erik W. Pachas

THINKING POKER THROUGH GAME THEORY , Damian Palafox

Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado

Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas

AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn

The Evolution of Cryptology , Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015 2015

SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi

Homomorphic Images And Related Topics , Kevin J. Baccari

Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez

Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn

Symmetric Presentations and Generation , Dustin J. Grindstaff

HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.

SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp

Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.

Elliptic Curves , Trinity Mecklenburg

A Fundamental Unit of O_K , Susana L. Munoz

CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez

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181 Mathematics Research Topics From PhD Experts

If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.

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Our Newest Research Topics in Math

We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.

So, without further ado, here are the 181 brand new topics for your next math research paper:

Cool Math Topics to Research

Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:

• Roll two dice and calculate a probability
• Discuss ancient Greek mathematics
• Is math really important in school?
• Discuss the binomial theorem
• The math behind encryption
• Game theory and its real-life applications
• Analyze the Bernoulli scheme
• What are holomorphic functions and how do they work?
• Describe big numbers
• Solving the Tower of Hanoi problem

Undergraduate Math Research Topics

If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:

• Methods to count discrete objects
• The origins of Greek symbols in mathematics
• Methods to solve simultaneous equations
• Real-world applications of the theorem of Pythagoras
• Discuss the limits of diffusion
• Use math to analyze the abortion data in the UK over the last 100 years
• Discuss the Knot theory
• Analyze predictive models (take meteorology as an example)
• In-depth analysis of the Monte Carlo methods for inverse problems
• Squares vs. rectangles (compare and contrast)

Number Theory Topics to Research

Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:

• Discuss the greatest common divisor
• Explain the extended Euclidean algorithm
• What are RSA numbers?
• Discuss Bézout’s lemma
• In-depth analysis of the square-free polynomial
• Discuss the Stern-Brocot tree
• Analyze Fermat’s little theorem
• What is a discrete logarithm?
• Gauss’s lemma in number theory
• Analyze the Pentagonal number theorem

Math Research Topics for High School

High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:

• Discuss Brun’s constant
• An in-depth look at the Brahmagupta–Fibonacci identity
• What is derivative algebra?
• Describe the Symmetric Boolean function
• Discuss orders of approximation in limits
• Solving Regiomontanus’ angle maximization problem
• What is a Quadratic integral?
• Define and describe complementary angles
• Analyze the incircle and excircles of a triangle
• Analyze the Bolyai–Gerwien theorem in geometry
• Math in our everyday life

Complex Math Topics

If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:

• Mathematics and its appliance in Artificial Intelligence
• Try to solve an unsolved problem in math
• Discuss Kolmogorov’s zero-one law
• What is a discrete random variable?
• Analyze the Hewitt–Savage zero-one law
• What is a transferable belief model?
• Discuss 3 major mathematical theorems
• Describe and analyze the Dempster-Shafer theory
• An in-depth analysis of a continuous stochastic process
• Identify and analyze Gauss-Markov processes

Easy Math Research Paper Topics

Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:

• Define the hyperbola
• Do we need to use a calculator during math class?
• The binomial theorem and its real-world applications
• What is a parabola in geometry?
• How do you calculate the slope of a curve?
• Define the Jacobian matrix
• Solving matrix problems effectively
• Why do we need differential equations?
• Should math be mandatory in all schools?
• What is a Hessian matrix?

Logic Topics to Research

We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:

• Discuss the reductio ad absurdum approach
• Discuss Boolean algebra
• What is consistency proof?
• Analyze Trakhtenbrot’s theorem (the finite model theory)
• Discuss the Gödel completeness theorem
• An in-depth analysis of Morley’s categoricity theorem
• How does the Back-and-forth method work?
• Discuss the Ehrenfeucht–Fraïssé game technique
• Discuss Aleph numbers (Aleph-null and Aleph-one)
• Solving the Suslin problem

Algebra Topics for a Research Paper

Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:

• Discuss the differential equation
• Analyze the Jacobson density theorem
• The 4 properties of a binary operation in algebra
• Analyze the unary operator in depth
• Analyze the Abel–Ruffini theorem
• Epimorphisms vs. monomorphisms: compare and contrast
• Discuss the Morita duality in algebraic structures
• Idempotent vs. nilpotent in Ring theory
• Discuss the Artin-Wedderburn theorem
• What is a commutative ring in algebra?
• Analyze and describe the Noetherian ring

Math Education Research Topics

There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:

• What are the goals a mathematics professor should have?
• What is math anxiety in the classroom?
• Teaching math in UK schools: the difficulties
• Computer programming or math in high school?
• Is math education in Europe at a high enough level?
• Common Core Standards and their effects on math education
• Culture and math education in Africa
• What is dyscalculia and how does it manifest itself?
• When was algebra first thought in schools?
• Math education in the United States versus the United Kingdom

Computability Theory Topics to Research

Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:

• What is a multiplication table?
• Analyze the Scholz conjecture
• Explain exponentiating by squaring
• Analyze the Myhill-Nerode theorem
• What is a tree automaton?
• Compare and contrast the Pushdown automaton and the Büchi automaton
• Discuss the Markov algorithm
• What is a Turing machine?
• Analyze the post correspondence problem
• Discuss the linear speedup theorem
• Discuss the Boolean satisfiability problem

Interesting Math Research Topics

We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:

• What is two-element Boolean algebra?
• The life of Gauss
• The life of Isaac Newton
• What is an orthodiagonal quadrilateral?
• Tessellation in Euclidean plane geometry
• Describe a hyperboloid in 3D geometry
• What is a sphericon?
• Discuss the peculiarities of Borel’s paradox
• Analyze the De Finetti theorem in statistics
• What are Martingales?
• The basics of stochastic calculus

Applied Math Research Topics

Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:

• Discuss Newton’s laws of motion
• Analyze the perpendicular axes rule
• How is a Galilean transformation done?
• The conservation of energy and its applications
• Discuss Liouville’s theorem in Hamiltonian mechanics
• Analyze the quantum field theory
• Discuss the main components of the Lorentz symmetry
• An in-depth look at the uncertainty principle

Geometry Topics for a Research Paper

Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:

• Most useful trigonometry functions in math
• The life of Archimedes and his achievements
• Trigonometry in computer graphics
• Using Vincenty’s formulae in geodesy
• Define and describe the Heronian tetrahedron
• The math behind the parabolic microphone
• Discuss the Japanese theorem for concyclic polygons
• Analyze Euler’s theorem in geometry

Math Research Topics for Middle School

Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:

• Finding critical points in a graph
• The basics of calculus
• What makes a graph ultrahomogeneous?
• How do you calculate the area of different shapes?
• What contributions did Euclid have to the field of mathematics?
• What is Diophantine geometry?
• What makes a graph regular?
• Analyze a full binary tree

Math Research Topics for College Students

As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:

• What are extremal problems and how do you solve them?
• Discuss an unsolvable math problem
• How can supercomputers solve complex mathematical problems?
• An in-depth analysis of fractals
• Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
• Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
• An in-depth look at Einstein’s field equation
• The math behind computer vision and object recognition

Calculus Topics for a Research Paper

Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:

• When do we need to apply the L’Hôpital rule?
• Discuss the Leibniz integral rule
• Calculus in ancient Egypt
• Discuss and analyze linear approximations
• The applications of calculus in real life
• The many uses of Stokes’ theorem
• Discuss the Borel regular measure
• An in-depth analysis of Lebesgue’s monotone convergence theorem

Simple Math Research Paper Topics for High School

This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:

• The life and work of the famous Pierre de Fermat
• What are limits and why are they useful in calculus?
• Explain the concept of congruency
• The life and work of the famous Jakob Bernoulli
• Analyze the rhombicosidodecahedron and its applications
• Calculus and the Egyptian pyramids
• The life and work of the famous Jean d’Alembert
• Discuss the hyperplane arrangement in combinatorial computational geometry
• The smallest enclosing sphere method in combinatorics

Business Math Topics

If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:

• Is paying a loan with another loan a good approach?
• Discuss the major causes of a stock market crash
• Best debt amortization methods in the US
• How do bank loans work in the UK?
• Calculating interest rates the easy way
• Discuss the pros and cons of annuities
• Basic business math skills everyone should possess
• Business math in United States schools
• Analyze the discount factor

Probability and Statistics Topics for Research

Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:

• What is the autoregressive conditional duration?
• Applying the ANOVA method to ranks
• Discuss the practical applications of the Bates distribution
• Explain the principle of maximum entropy
• Discuss Skorokhod’s representation theorem in random variables
• What is the Factorial moment in the Theory of Probability?
• Compare and contrast Cochran’s C test and his Q test
• Analyze the De Moivre-Laplace theorem
• What is a negative probability?

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Home > Physical and Mathematical Sciences > Mathematics Education > Theses and Dissertations

Mathematics Education Theses and Dissertations

Theses/dissertations from 2024 2024.

New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting

Theses/Dissertations from 2023 2023

Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales

Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff

Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley

Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson

Theses/Dissertations from 2022 2022

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper

Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby

Structural Reasoning with Rational Expressions , Dana Steinhorst

Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong

Theses/Dissertations from 2021 2021

Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams

You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer

Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens

Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job

Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau

Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky

Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard

Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville

Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga

Theses/Dissertations from 2016 2016

The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

Theses/Dissertations from 2013 2013

Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc

Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele

Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk

Theses/Dissertations from 2012 2012

Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart

Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling

Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak

Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

Theses/Dissertations from 2007 2007

Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff

What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry

Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer

Theses/Dissertations from 2006 2006

How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras

Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz

The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze

Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb

Theses/Dissertations from 2005 2005

Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

Theses/Dissertations from 2003 2003

An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford

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Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations

Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2023 2023.

Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani

Applied Analysis for Learning Architectures , Himanshu Singh

Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze

Theses/Dissertations from 2022 2022

New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana

Advances and Applications of Optimal Polynomial Approximants , Raymond Centner

Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty

On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly

Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi

A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman

Theses/Dissertations from 2021 2021

Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri

Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi

Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou

Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando

Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu

Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang

Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang

Theses/Dissertations from 2020 2020

Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi

Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun

Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu

On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman

Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek

Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen

Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan

Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop

On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink

Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang

Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala

Theses/Dissertations from 2019 2019

Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian

Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar

Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil

Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter

Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz

Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi

Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi

Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos

The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva

Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak

Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich

An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado

Power Graphs of Quasigroups , DayVon L. Walker

Theses/Dissertations from 2018 2018

Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed

Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai

A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah

Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa

Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields

Generalizations of Quandles and their cohomologies , Matthew J. Green

Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu

Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou

Human Activity Recognition Based on Transfer Learning , Jinyong Pang

Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham

Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel

Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova

Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang

Theses/Dissertations from 2017 2017

Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack

Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon

On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill

Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill

Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly

Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera

Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao

Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati

Dynamics of Multicultural Social Networks , Kristina B. Hilton

Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi

Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally

Patterns in Words Related to DNA Rearrangements , Lukas Nabergall

Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na

Schreier Graphs of Thompson's Group T , Allen Pennington

Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya

Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo

Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi

Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou

Theses/Dissertations from 2016 2016

A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea

Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery

Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman

On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr

Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim

Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano

Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure

Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru

Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park

Leonard Systems and their Friends , Jonathan Spiewak

Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun

Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu

Global Attractors and Random Attractors of Reaction-Diffusion Systems , Junyi Tu

Time Dependent Kernel Density Estimation: A New Parameter Estimation Algorithm, Applications in Time Series Classification and Clustering , Xing Wang

On Spectral Properties of Single Layer Potentials , Seyed Zoalroshd

Theses/Dissertations from 2015 2015

Analysis of Rheumatoid Arthritis Data using Logistic Regression and Penalized Approach , Wei Chen

Active Tile Self-assembly and Simulations of Computational Systems , Daria Karpenko

Nearest Neighbor Foreign Exchange Rate Forecasting with Mahalanobis Distance , Vindya Kumari Pathirana

Statistical Learning with Artificial Neural Network Applied to Health and Environmental Data , Taysseer Sharaf

Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3 , Richard Alan Warner

Ensemble Learning Method on Machine Maintenance Data , Xiaochuang Zhao

Theses/Dissertations from 2014 2014

Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo

Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability , Jonathan Burns

On the Classification of Groups Generated by Automata with 4 States over a 2-Letter Alphabet , Louis Caponi

Statistical Analysis, Modeling, and Algorithms for Pharmaceutical and Cancer Systems , Bong-Jin Choi

Topological Data Analysis of Properties of Four-Regular Rigid Vertex Graphs , Grant Mcneil Conine

Trend Analysis and Modeling of Health and Environmental Data: Joinpoint and Functional Approach , Ram C. Kafle

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Senior Thesis

This page is for Undergraduate Senior Theses.  For Ph.D. Theses, see here .

A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document ‘ Honors in Mathematics ’ for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors: The document ‘ Faculty research areas ’ lists the research interests of current members of the Math Department.

So that Math Department senior theses can more easily benefit other undergraduate, we would like to exhibit more senior theses online (while all theses are available through Harvard University Archives, it would be more convenient to have them online). It is absolutely voluntary, but if you decide to give us your permission, please send an electronic version of your thesis to cindy@math. The format can be in order of preference: DVI, PS, PDF. In the case of submitting a DVI format, make sure to include all EPS figures. You can also submit Latex or MS word source files.

If you are looking for information and advice from students and faculty about writing a senior thesis, look at this document. It was compiled from comments of students and faculty in preparation for, and during, an information session. Let Wes Cain ([email protected]) know if you have any questions not addressed in the document.

Department of Mathematics

• Recent PhD Theses

• Prospective Graduate Student FAQ
• Graduate Board Oral Exam
• Graduate Courses
• Qualifying Exams
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• Qingci An  (F. Lu) Identifiability and data-adaptive RKHS Tikhonov regularization in nonparametric learning problems
• Letian Chen  (J. Bernstein) On Mean Curvature Flows coming out of Cones
• Ben Dees  (C. Mese) On the Singular Sets of Harmonic Maps into F -Connected Complexes
• Lili He  (H. Lindblad) The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes
• Kalyani Kansal  (D. Savitt) Codimension one intersections between components of the Emerton-Gee stack for  GL 2
• Quanjun Lang  (F. Lu) Learning kernels with nonlocal dependence in mean-field equations and the extension problem on Dirichlet space
• Yujie Luo  (Y. Sire) Minimal log discrepancy and its applications in birational geometry
• Keaton Stubis (D. Savitt) Eisenstein Series with Class Number Coefficients Constructed from the Weil Representation
• Rong Tang  (Y. Sire) Nonlocal Filtration Equations and Fractional Curvature Flows
• Xiangze Zeng (V. Shokurov) Boundedness of n -Complements on Algebraic Surfaces
• Zehong Zhang  (F. Lu) Multi-agent systems: observability, classification and clustering prediction
• Luochen Zhao  (Y. Sakellaridis) Topics in p -adic analysis
• Tslil Clingman  (E. Riehl) Towards a theory of proof relevant categories
• Zongyipoan Lin  (D. Savitt) Crystalline lifts of Galois representations
• David Myers  (E. Riehl) Symmetry, Geometry, Modality
• Caroline VanBlargan  (Y. Wang) Stability of Quermassintegral Inequalities
• Junyan Zhang  (H. Lindblad) The Free-Boundary Problems in Inviscid Magnetohydrodynamics with or without Surface Tension
• Jin Zhou  (M. Maggioni) Learning multiscale approximations of functions between manifolds
• Daniel Fuentes-Keuthan  (E. Riehl) Goodwillie Towers of Infinity Categories and Desuspension
• Xiaoqi Huang  (C. Sogge) Weyl formulae for Schrödinger operators with critically singular potentials
• Hanveen Koh  (B. Smithling) Towards a conjecture of Pappas and Rapoport on a scheme attached to the symplectic group
• Patrick Martin  (M. Maggioni) Multiplicatively Perturbed Least Squares for Dimension Reduction
• Xiyuan Wang  (D. Savitt) Topics in Galois representations

Jordan Paschke  (C. Sogge) Uniform Weyl Asymptotics for Off-Diagonal Spectral Projections

• Daniel Ginsberg  (H. Lindblad) The free boundary problem for Euler’s equations
• Apurva Nakade  (N. Kitchloo) Manifold Calculus and Convex Integration
• Cheng Zhang  (C. Sogge) Oscillatory Integrals and Eigenfunction Restriction Estimates
• Zehua Zhao  (B. Dodson) Long time dynamics for nonlinear Schrödinger equations at critical regularity

Older Theses

• Christopher Kauffman  (H. Lindblad) Global Stability for Charged Scalar Fields in Spacetimes close to Minkowski
• Harry Lang  (M. Maggioni) Streaming Coresets for High-Dimensional Geometry
• Tianyi Ren  (C. Sogge) Resolvent Estimates for the Laplacian in the Euclidean Space and on the Sphere
• Shengwen Wang  (J. Bernstein) Some results on the entropy of closed hypersurfaces and topology through singularities in mean curvature flow
• Emmett Wyman  (C. Sogge) Explicit bounds on integrals of eigenfunctions over curves in surfaces of nonpositive curvature
• Ben Diamond  (C. Consani) Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
• Chenyun Luo  (H. Lindblad) On the motion of the free surface of a compressible liquid
• Yakun Xi  (C. Sogge) Kakeya-Nikondym Problems and Geodesic Restriction Estimates for Eigenfunctions.
• Jon Beardsley  (J. Morava) Coalgebraic Structure and Intermediate Hopf-Galois Extensions of Thom Spectra in Quasicategories
• Stephen Cattell  (N. Kitchloo) The Completion of Dominant K-Theory
• Po-Yao Chang  (J. Spruck) S elf-shrinkers to the mean curvature flow asymptotic to isoparametric cones
• Vitaly Lorman  (N. Kitchloo) Real Johnson-Wilson Theories and Computations
• Kalina Mincheva  (C. Consani) Semiring Congruences and Tropical Geometry
• Chenyang Su  (J. Spruck) Starshaped locally convex hypersurfaces with curvature and boundary
• Jai Ung Jun  (C. Consani) Algebraic geometry over semi-structure and hyper-structure of characteristic one
• John Ross  (W. Minicozzi) Rigidity Results of Lambda-Hypersurfaces
• Jeffrey Tolliver  (C. Consani) Hyperstructures and Idempotent Semistructures
• Xing Wang  (C. Sogge) Asymptotic Behavior of Spectrums for Elliptic Pesdodifferential Operators
• Min Xue  (C. Sogge) Concerning the Klein-Gordon equation on asymptotically Euclidean manifolds
• Junyan Zhu  (B. Shiffman) Hole Probabilities of SU(m+1) Gaussian Random Polynomials
• Arash Karami  (B. Shiffman) Zeros of random Reinhardt polynomials
• Matthew McGonagle  (W. Minicozzi) The Gaussian Isoperimetric Problem and the Self-Shrinkers of Mean Curvature Flow
• Duncan Sinclair  (C. Mese) Heat Kernels on Riemannian Polyhedra and Heat Flows into NPC Manifolds
• Hongtan Sun  (C. Sogge) Strichartz Estimates for Wave and Schrödinger Equations on Hyperbolic Trapped Domains
• Tim Tran  (B. Shiffman) Continuity of the Asymptotics of Expected Zeros of Fewnomials
• Xuehua Chen  (C. Sogge) An Improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature
• Leili Shahriyari  (W. Minicozzi) Translating graphs by mean curvature flow
• Peng Shao  (C. Sogge) Sobolev resolvent estimates for the Laplace-Beltrami operator on compact manifolds
• Ling Xiao  (J. Spruck) Flow Problems in Hyperbolic Space
• Sinan Ariturk  (C. Sogge) Concentration and vanishing of eigenfunctions on a manifold with boundary
• Caleb Hussey  (W. Minicozzi) Classification and analysis of low index mean curvature flow self-shrinkers
• Jingzhou Sun  (B. Shiffman) Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
• Joseph Cutrone  (V. Shokurov) Symmetric Sarkisov Links of Fano Threefolds
• Michael Limarzi  (T. Ono) On a Cohomological Study of Heisenberg Groups over The Ring of Algebraic Integers
• Longzhi Lin  (W. Minicozzi) On the existence of closed geodesics and uniqueness of weakly harmonic maps
• Nicholas Marshburn  (V. Shokurov) Smooth Weak Fano Threefolds
• Xin Yu  (C. Sogge) Strichartz Estimates and Strauss Conjecture on Various Settings
• John Baber  (B. Shiffman) Scaled correlations of critical points of random sections on Riemann surfaces
• Romie Banerjee  (J. Boardman, S. Wilson) Real Johnson-Wilson theories and non-immersions of projective spaces
• Jonathan Dahl  (C. Mese) Existence and structure of solutions of Steiner problems in optimal transport
• Stephen Kleene  (W. Minicozzi) Singular behavior of minimal surfaces and mean curvature flow
• Susama Agarwala  (J. Morava) The geometry of renormalization
• Abhishek Banerjee  (C. Consani) Nearby cycles, Archimedean complex and periodicity in cyclic homology
• Christine Breiner  (W. Minicozzi) Embedded minimal surfaces of finite topology and one end
• Yifei Chen  (V. Shokurov) Strong rational connectedness of toric varieties
• Jing-Cheng Jiang  (C. Sogge) Bilinear Strichartz estimates in two dimensional compact manifolds and cubic nonlinear Schrödinger equations
• Hamid Hezari  (S. Zelditch) Eigenvalues and eigenfunctions of Schrödinger operators: Inverse spectral theory; and the zeros of eigenfunctions
• Siddique Khan  (W. Minicozzi) Embedded minimal disks with curvature blow-up on a line segment
• Joel Kramer  (W. Minicozzi) Embedded minimal spheres in 3-manifolds
• Reza Seyyedali  (R. Wentworth) Balanced metrics in Kahler geometry
• Thomas Wright  (T. Ono) On convergence of singular series for a pair of quadratic Forms
• Patrick Zulkowski  (C. Mese) The Plateau problem in Alexandrov spaces satisfying the Perel’man conjecture
• Benjamin Baugher  (S. Zelditch) Statistics of critical points in Kahler geometry and string theory
• Sung Rak Choi  (V. Shokurov) The geography of log models and its applications
• Brian Macdonald  (B. Shiffman) Statistics of non-real zeros and critical points of systems of real random polynomials in several variables
• Shuai Wang  (T. Ono) On a certain triple system, elliptic curves and Gauss theory of quadratic forms
• Qi Zhong  (S. Zelditch) Energies of zeros of random sections on Riemann surfaces

Scott Zrebiec  (B. Shiffman) Hole Probability and Large Deviations in the Distribution of the Zeros of Gaussian Random Holomorphic Functions

• Ann Stewart  (C. Sogge) Existence theorems for some nonlinear hyperbolic equations on a waveguide
• Hsin-Hao Su  (J. Boardman) The E (1,2) Cohomolgy of the Eilenberg-Mac Lane Space Lane K(Z,3)
• Giuseppe Tinaglia  (W. Minicozzi) Multi-valued Graphs In Embedded Constant Mean Curvature Disks
• Mike Krebs  (R. Wentworth) Toledo Invariants on 2-Orbifolds
• Eun-Kyoung Lee  (T. Ono) On Certain Cohomological Invariants of Algebraic Number Fields
• Brian Dean  (W. Minicozzi) Some Results on Stable Compact Embedded Minimal Surfaces in 3-Manifolds
• Seok-Min Lee  (T. Ono) On Certain Cohomological Invariants of Quadratic Number Fields
• Sirong Zhang  (W. Minicozzi) Curvature Estimates for Constant Mean Curvature Surfaces in Three Manifolds
• Xiangjin Xu  (C. Sogge) Eigenfunction Estimates on Compact Manifolds with Boundary and Hörmander Multiplier Theorem
• Byungchul Cha  (C. Popescu) Vanishing of Some Cohomology Groups and Bounds for the Shafarevich-Tate Groups of Elliptic Curves
• Jason Metcalfe  (C. Sogge) Global Strichartz Estimates for Solutions of the Wave Equation Exterior to a Convex Obstacle

Jung-Jo Lee  (J. Shalika) Bounding Ranks of Elliptic Curves

• Jihun Park  (V. Shokurov) Fano Fibrations Over a Discrete Valuation Ring
• Ramin Takloo-Bighash  (J. Shalika) The Integral of Novodvorsky and the Local p-adic Factors of the Spinor L-function of the Group
• Takeshi Torii  (J. Morava) One Dimensional Formal Group Laws of Height N and N-1
• Alexandru Tupan  (V. Kolyvagin) Congruences for Modular Forms
• Hemin Yang  (J. Boardman, W. Wilson) The Hit Problem for w (4) over F 2  by Differential Operator Algebra
• Ivan Cheltsov  (V. Shokurov) Log Models of Birationally Rigid Varieties
• Joshua Neuheisel  (S. Zelditch) The Asymptotic Distribution of Nodal Sets on Spheres
• Diego Socolinsky  (J. Spruck) A Variational Approach to Image Fusion
• Terutake Abe  (V. Shokurov) Classification of Exceptional Surface Complements
• Florin Ambro  (V. Shokurov) The Adjunction Conjecture Applications
• Satyan Devadoss  (J. Morava) Tessellations of Moduli Spaces and the Mosaic Operad
• Heuisu Ryu  (V. Kolyvagin) Algorithm for Non-Triviality of Shafarevich-Tate Group Using Heegner Points for Some Family of Elliptic Curves
• Guoling Tong  (J. Shalika) The Shimura Integral and the Standard L-function of U(3)

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Main areas of research activity are algebra, including group theory, semigroup theory, lattice theory, and computational group theory, and analysis, including fractal geometry, multifractal analysis, complex dynamical systems, Kleinian groups, and diophantine approximations.

For more information please visit the School of Mathematics and Statistics home page.

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

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Separability properties of semigroups and algebras , groups defined by language theoretic classes , rearrangement groups of connected spaces , modern computational methods for finitely presented monoids , finiteness conditions on semigroups relating to their actions and one-sided congruences .

Dissertations and Placements 2010-Present

Emily Dautenhahn Thesis: Heat kernel estimates on glued spaces Advisor: Laurent Saloff-Coste First Position:  Assistant Professor at Murray State University

Elena Hafner Thesis: Combinatorics of Vexillary Grothendieck Polynomials Advisor: Karola Meszaros First Position: NSF Postdoctoral Fellow,, at University of Washington

Sumun Iyer Thesis: Dynamics of non-locally compact topological groups Advisor: Slawomir Solecki First Position: NSF Postdoctoral Fellow at Carnegie Mellon University in Pittsburgh

Sebastian Junge Thesis: Applications of Transferring the Ramsey Property between Categories Advisor: Slawomir Solecki First Position: Lecturer at Texas State University

Nicki Magill Thesis: Infinite Staircases for Hirzebruch Surfaces Advisor: Tara Holm First Position: NSF Postdoctoral Fellow at UC Berkeley

Prairie Wentworth-Nice Thesis: Finite Groups, Polymatroids, and Error-Correcting Codes Advisor: Edward Swartz First Position: Postdoctoral Teaching Fellow at Johns Hopkins University

Fiona Young Thesis: Dissecting an Integer Polymatroid Advisor: Edward Swartz First Position: Pursuing her own start-up in the math education technology space

Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner First Position: Postdoc at the Institution for Advanced Study and Princeton

Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology

Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group  Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies

Andrew Melchionna Thesis: Opinion Propagation and Sandpile Models  Advisor: Lionel Levine First Position: Quantitative Researcher at Trexquant

Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University

Liu Yun Thesis: Towers of Borel Fibrations and Generalized Quasi-Invariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington

Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC

Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University

Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent Saloff-Coste in last semester) First Position: Postdoctoral Scholar, University of Washington

Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University

Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University

Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University

Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine

David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky

Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université

Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute

Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota

Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal

Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa

Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology

Ryan McDermott Thesis: Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine

Aleksandra Niepla Thesis:  Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross

Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group

Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania

Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College

Maru Sarazola Thesis: Constructing K-theory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University

Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz

Yuwen Wang Thesis: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste First Position: Postdoc, University of Innsbruck, Austria

Beihui Yuan Thesis:  Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University

Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago

Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management

Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance

Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University

Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n -1) and A Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota

Pak-Hin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs

Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia

Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at Urbana-Champaign

Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading

Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA

Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One

Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of Wisconsin-Madison

Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University

Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com

Ian Pendleton Thesis:  The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds Advisor: Tara Holm

Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft

Yujia Zhai Thesis:  Study of bi-parameter flag paraproducts and bi-parameter stopping-time algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes 

Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis

James Barnes Thesis:  The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College

Jeffrey Bergfalk Thesis:  Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM - National Autonomous University of Mexico

TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna

Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba

Eduard Einstein Thesis:  Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)

Balázs Elek Thesis:  Toric surfaces with Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto

Kelsey Houston-Edwards Thesis:  Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste First position: Professor of Math and Science Communication, Olin College

My Huynh Thesis:  The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.

Hossein Lamei Ramandi Thesis: On the minimality of non-σ-scattered orders Advisor: Justin Moore First position:  Postdoctoral Associate at UFT (University Toronto)

Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute

Aliaksandr Patotski Thesis:  Derived characters of Lie representations and Chern-Simons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft

Ahmad Rafiqi Thesis:  On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil

Ying-Ying Tran Thesis:  Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher

Drew Zemke Thesis:  Surfaces in Three- and Four-Dimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University

Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties  Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group

Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft

Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo

Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Post-doc Fellow, Institut de Recherche Mathématique de Rennes

Iian Smythe Thesis: Set theory in infinite-dimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey

Zhexiu Tu Thesis: Topological representations of matroids and the cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky

Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University

Lucien Clavier Thesis: Non-affine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg

Voula Collins Thesis: Crystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut

Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma

Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University

Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology

Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University

Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Start-up

Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia 

Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas

Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of

David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore

Cristina Benea Thesis: Vector-Valued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France

Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore

Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC

Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University

Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University

Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3-Manifolds Advisor: Allen Hatcher

Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland

Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs

Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense

Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University

Adam Bjorndahl Thesis: Language-based games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy

Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft

Chikwong Fok Thesis: The Real K-theory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan

Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago

Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University

Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network

Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto

Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine

Baris Ugurcan Thesis: LPLP-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario

Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow

Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track

Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto

Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College

Kristine Jones Thesis: Generic Initial Ideals of Locally Cohen-Macaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft

Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs

Peter Luthy Thesis: Bi-parameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis 

Remus Radu Thesis: Topological models for hyperbolic and semi-parabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan

Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology

Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent Saloff-Coste First position: Postdoctoral Associate, Stanford University

Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University

Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University

Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the Completecd-Index Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University

Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester

Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP

Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto

Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto

Mihai Bailesteanu  Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester

Owen Baker  Thesis:  The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University

Jennifer Biermann  Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University

Mingzhong Cai  Thesis: Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison

Ri-Xiang Chen  Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China

Denise Dawson  Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University

George Khachatryan Thesis: Derived Representation Schemes and Non-commutative Geometry Advisor: Yuri Berest First position: Reasoning Mind

Samuel Kolins  Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College

Victor Kostyuk Thesis: Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind

Ho Hon Leung  Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai

Benjamin Lundell  Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington

Eyvindur Ari Palsson  Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester

Paul Shafer  Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University

Michelle Snider  Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland

Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand

Russ Thompson  Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute

Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College

Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College

Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at Lenoir-Rhyne University

Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University 

Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard

Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University

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Dissertation in mathematics

This module enables you to carry out a sustained, guided, independent study of a topic in mathematics. There’s a choice of topics, for example: algebraic graph theory; aperiodic tilings and symbolic dynamics; advances in approximation theory; history of modern geometry; interfacial flows and microfluidics; variational methods, and Riemann surfaces. Provided study notes, books, research articles, and original sources guide you. You must master the appropriate mathematics and present your work as a final dissertation.

Qualifications

M840 is a compulsory module in our:

• MSc in Mathematics (F04)
• Credits measure the student workload required for the successful completion of a module or qualification.
• One credit represents about 10 hours of study over the duration of the course.
• You are awarded credits after you have successfully completed a module.
• For example, if you study a 60-credit module and successfully pass it, you will be awarded 60 credits.

OU	Postgraduate
SCQF	11
FHEQ	7

Find out more about entry requirements .

What you will study

The list of topics available varies each year. We’ll let MSc in Mathematics students know the available topics that October in the spring, before the module starts.

Recently available topics have included:

• Advances in approximation theory
• Algebraic graph theory
• Aperiodic tilings and symbolic dynamics
• History of modern geometry
• Interfacial flows and microfluidics
• Riemann surfaces
• Variational methods.

Please note:

• Since the available topics vary from year to year, check that we are offering the topic you wish to study before registering.
• For staffing reasons, you might not be able to study your preferred topic. Therefore, we’ll ask you for your first and second choice. We can usually offer you one of your choices, although this cannot be guaranteed.

You will learn

Successful study of this module should enhance your skills in understanding complex mathematical texts, working on open-ended problems and communicating mathematical ideas clearly.

Teaching and assessment

Support from your tutor.

Throughout your module studies, you’ll get help and support from your assigned module tutor. They’ll help you by:

• Marking your assignments (TMAs) and providing detailed feedback for you to improve.
• Guiding you to additional learning resources.
• Providing individual guidance, whether that’s for general study skills or specific module content.

The module has a dedicated and moderated forum where you can join in online discussions with your fellow students. There are also online module-wide tutorials. While these tutorials won’t be compulsory for you to complete the module, you’re strongly encouraged to take part. If you want to participate, you’ll likely need a headset with a microphone.

The assessment details can be found in the facts box.

Course work includes

Tutor-marked assignments (TMAs)

Future availability

Dissertation in mathematics (M840) starts once a year – in October.

This page describes the module that will start in October 2024.

We expect it to start for the last time in October 2029.

Regulations

Entry requirements.

You must have passed four modules from the MSc in Mathematics (F04) .

If you’ve passed only three modules, you may request exceptional permission to take M840 alongside another module.

Additionally:

• To study the ‘Advances in approximation theory’ topic, you should have passed Advanced mathematical methods (M833) or the discontinued module M832.
• To study the ‘Variational methods applied to eigenvalue problems’ topic, you should have passed Calculus of variations and advanced calculus (M820) .
• To study the ‘Riemann surfaces’ topic, you should have a Grade 1 or 2 pass a course in Complex analysis (M337) or an equivalent course.

All teaching is in English and your proficiency in the English language should be adequate for the level of study you wish to take. We strongly recommend that students have achieved an IELTS (International English Language Testing System) score of at least 7. To assess your English language skills in relation to your proposed studies you can visit the IELTS website.

Start	End	England fee	Register
05 Oct 2024	Jun 2025	£1360.00	Registration closes 05/09/24 (places subject to availability)
This module is expected to start for the last time in October 2029.

Additional costs

Study costs.

There may be extra costs on top of the tuition fee, such as set books, a computer and internet access.

Study events

This module may have an optional in-person study event. We’ll let you know if this event will take place and any associated costs as soon as we can.

Ways to pay for this module

We know there’s a lot to think about when choosing to study, not least how much it’s going to cost and how you can pay.

That’s why we keep our fees as low as possible and offer a range of flexible payment and funding options, including a postgraduate loan, if you study this module as part of an eligible qualification. To find out more, see Fees and funding .

Study materials

What's included.

You’ll have access to a module website, which includes:

• a week-by-week study planner
• course-specific module materials
• audio and video content
• assessment details and submission section
• online tutorial access.

You will need

Some topics require specific books. We’ll let you know which once your topic is confirmed.

Computing requirements

You’ll need broadband internet access and a desktop or laptop computer with an up-to-date version of Windows (10 or 11) or macOS Ventura or higher.

Any additional software will be provided or is generally freely available.

To join in spoken conversations in tutorials, we recommend a wired headset (headphones/earphones with a built-in microphone).

Our module websites comply with web standards, and any modern browser is suitable for most activities.

Our OU Study mobile app will operate on all current, supported versions of Android and iOS. It’s not available on Kindle.

It’s also possible to access some module materials on a mobile phone, tablet device or Chromebook. However, as you may be asked to install additional software or use certain applications, you’ll also require a desktop or laptop, as described above.

If you have a disability

The material contains small print and diagrams, which may cause problems if you find reading text difficult. Adobe Portable Document Format (PDF) versions of printed material are available. Some Adobe PDF components may not be available or fully accessible using a screen reader and mathematical materials may be particularly difficult to read in this way. Alternative formats of the study materials may be available in the future.

To find out more about what kind of support and adjustments might be available, contact us or visit our disability support pages .

Request your prospectus

Our prospectuses help you choose your course, understand what it's like to be an OU student and register for study.

Request prospectus    

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Dissertations

Here is the complete list of all doctoral dissertations granted by the School of Math, which dates back to 1965. Included below are also all masters theses produced by our students since 2002. A combined listing of all dissertations and theses , going back to 1934, is available at Georgia Tech's library archive. For the post PhD employment of our graduates see our  Alumni Page .

Doctoral Dissertations

	(external link)
		Cai, May	Yu, J.
		Deslandes, Clement	Houdre, C.
		Minahan, Daniel	Margalit, D. and Hom, J.
		Omarov, Daniyar	Dieci, L.
		Shapiro, Roberta	Margalit, D. and Etnyre, J.
		Shu, Kevin	Blekherman, G.
	Computational models for bacterial dynamics in community and treatment contexts	Sundius, Sarah	Kuske, R. and Brown, S. (BIOL)
		Komatsuzaki, Aran	Matzinger, H.
		Tang Rajchel, Mengyi	Kang, S.
		Acevedo, Jose	Blekherman, G.
		Barvinok, Nicholas	Ghomi, M.
	Improving and maximal inequalities in discrete harmonic analysis	Giannitsi, Christina	Lacey, M.
		Gunn, Trevor	Baker, M.
		Lee, Chi-Nuo	Croot, E.
		Roy, Agniva	Etnyre, J.
		Schroeder, Joshua	Yu, X.
		Sun, Haoran	Koltchinskii, V.
		Sun, Shengding	Blekherman, D. and Dey, S. (ISYE)
		Viquez Bolanos, Jorge Aurelio	Houdre, C.
		Wigal, Michael	Yu, X.
		Wu, Hao	Zhou, H.
		Zhang, Tianyi	Baker, M. and Lorscheid, O. (University of Groningen)
		Zhou, Hongyi	Hom, J.
	A finite difference method on irregular grids with local second order ghost point extension for solving Maxwell's Equations around curved PEC objects	Zou, Haiyu	Liu, Y.
		Bailey, Victor	Heil, C.
		Collins, Sarah	Hom, J.
		Harper, David	Damron, M.
		Liu, Xiaonan	Yu, X.
		Salem, Jad	Gupta, S.
		Tate, Reuben	Gupta, S.
		Yu, Tao	Le, T.
		Duan, Juntao	Matzinger, H. and Popescu, I.
		Hozoori, Surena	Etnyre, J.
		Ide, Benjamin	Kang, S.
		Jung, Jaewoo	Blekherman, G.
		Kumar, Bhanu	de la Llave, R.
		Liu, Xiao	Zeng, C.
		Ma, Shaojun	Zhou, H.
		Mousavi, Hamed	Croot, E.
		Mukherjee, Anubhav	Etnyre, J.
		Qian, Yingjie	Yu, X.
		Sabo, Eric	Harrell, E.
		Schmidt, Maxie	Yu, J.
		Wenk, James	Ghomi, M.
		Yoo, Youngho	Yu, X.
		Yuan, Xiaofan	Yu, X.
		Chen, Xinshi	Song, L.
		Harkonen, Marc	Leykin, A.
	Stability and Instability of the Kelvin-Stuart Cat's Eyes Flow to the 2D Euler's Equations	Liao, Shasha	Lin, Z.
		Liu, Shu	Zhou, H.
		Olinde, John	Short, M.
	Optimal Motion Planning and Computational Optimal Transport	Sun, Haodong	Kang, S. and Zhou, H.
		Zhu, Xingyu	Belegradek, I.
		Perez Bustamante, Adrian	de la Llave, R.
		Zhu, Dantong	Thomas, R. and Yu, X.
		Attarchi, Hassan	Bunimovich, L.
		Chen, Renyi	Tao, M. and Li, G.
		Duff, Timothy	Leykin, A.
		Guo, He	Warnke, L.
		Hill, Cvetelina	Yu, J.
		Kirkpatrick, Anna	Mitchell, C. and Tetali, P.
	Branched Covers and Braided Embeddings	Kolay, Sudipta	Etnyre, J.
		Min, Hyun Ki	Etnyre, J.
		Yang, Jiaqi	de la Llave, R.
		Yiao, Yian	de la Llave, R.
		Cheng, Yam-Sung	Heil, C.
		He, Yuchen	Kang, S.
	Non-parametric Analysis for Time Series Gap Data with Applications in Acute Myocardial Infarction Disease	Li, Hangfan	Houdre, C.
		Li, Ruilin	Zhou, H. and Zha, H.
		Park, Jaemin	Yao, Y.
	Spectrum Reconstruction Technique and Improved Naive Bayes Models for Text Classification Problems	Dai, Zhibo	Matzinger, H.
		Hu, Qianli	Pan, R.
		Park, Josiah	Heil, C. and Lacey, M.
		Kieffer, Thomas	Loss, M.
		Lanier, Justin	Margalit, D.
		Lee, Kisun	Leykin, A.
		Petti, Samantha	Vempala, S.
		Paprocki, Jonathan	Le, T.
		Xie, Shijie	Yu, X.
		Xing, Xin	Chow, E. and Zhou, H.
		Zhang, Yuze	Houdre, C.
		Bock, Bounghun	Damron, M.
		Celaya, Marcel	Yu, J.
		Chen, Jiangning	Matzinger, H. and Lounici, K.
		Ghanta, Rohan	Loss, M.
		Hoyer, Alexander	Thomas, R.
		Mayorga, Sergio	Gangbo, W. and Swiech, A.
		McCullough, Andrew	Etnyre, J.
		Shu, Longmei	Bunimovich, L.
		Zhai, Haoyan	Zhou, H.
		Kerchev, George	Houdre, C.
	Coloring Graphs with No K5-Subdivision: Disjoint Paths in Graphs	Xie, Qiqin	Yu, X.
		Liu, Qingqing	Houdre, C.
		Scott, Shane	Margalit, D.
		Zhou, Fan	Koltchinskii, V.
		Chen, Tongzhou	Short, M.
		Dever, John	Bellissard, J. and Harrell, E.
		Wang, Xin	Liu, Y.
		Wang, Yichen	Song, L. and Zhou, H.
		Xu, Chen	Houdre, C.
		Yuen, Chi Ho	Baker, M.
		Bolding, Mark	Bunimovich, L.
		Dang, Thanh Ngoc	Thomas, R.
		Du, Rundong	Park, H.
		Mena Arias, Dario Alberto	Lacey, M.
		de Viana, Mikel	de la Llave, R.
		Ralli, Peter	Tetali, P.
		Hou, Yanxi	Yu, X.
		Kunwar, Ishwari	Lacey, M.
		Sampson, Donald	McCuan, J.
		Spencer, Timothy Scott	Lacey, M.
		Tossounian, Hagop	Loss, M.
		Walsh, Joseph Donald	Dieci, L.
		Wang, Yan	Yu, X.
		Zhang, Lei	de la Llave, R.
		He, Dawei	Yu, X.
		Cohen, Emma	Tetali
		Conway, James Irwin	Etnyre
	Uniqueness, Existence, and Regularity of solutions of Integro-PDEs in domains of R^n.	Mou, Chenchen	Yi/Swiech
		Xia, Dong	Koltchinskii
		Li, Wuchen	Dieci/Zhou
		Difonzo, Fabio Vito	Dieci
		Vaidyanathan, Ranjini	Bonetto
		Wang, Ruidong	Trotter
		Awi, Romeo Olivier	Gangbo
		Bush, Albert Robert	Croot
		Hu, Jing	Belegradek
		Krone, Robert	Leykin
		Hoffmeyer, Allen Kyle	Houdre
		Hu, Lili	Liu
		He, Yunlong	Monteiro, Park
		Pryby, Christopher Ian	Croot
		Rangel Walteros, Pedro Andres	Koltchinskii
		Hurth, Tobias	Bakhtin
		Kaloti, Amey Sadanand	Etnyre
		Liu, Chun-Hung	Thomas
		Luo, Ye	Baker
		Vuong, Thao Minh	Garoufalidis
		Wang, Xiaolin	Alben/Weiss
		Whalen, Peter Michael Zanton	Thomas
		Zhang, Weizhe	Pan
		Amirkhanyan, Gagik Martuni	Lacey
		Backman, Spencer Foster	Baker
		Lu, Jun	Zhou
		Shin, Hyunshik	Margalit
		Winarski, Rebecca Rae	Margalit
		Casey, Meredith Perrie	Etnyre
		Liu, Jingfang	Zhou
		Shokrieh, Farbod	Baker
		Yin, Ke	Zhou
		Feng, Huijun	Peng
		Ni, Kai	Koltchinskii
		Scurry, James Wright	Wick
		Asadi Shahmirzadi, Arash	Thomas
		Ma, Jinyong	Houdre
		Postle, Luke Jamison	Thomas
		Chenette, Nathan Lee	Thomas
		Gong, Ruoting	Houdre
		Huynh, Huy Ngoc Quoc	Houdre
		Li, Yao	Yi
		Minsker, Stanislav	Koltchinskii
		Sedjro, Marc Mawulom	Gangbo
		Tosun, Bulent	Etnyre
		Tran, Anh Tuan	Le
		Wang, Ruodu	Peng
		Ye, Tianjun	Yu, X.
		Gong, Yun	Peng
		Streib, Amanda Pascoe	Randall
		Streib, Noah Sametz	Trotter
		Wu, Jialiang	Voit
		Einav, Amit	Loss
		Restrepo, Ricardo	Tetali
		Chen, Kenneth	Cook
		Lu, Nan	Zeng
		Ma, Jie	Yu, X.
		Sloane, Craig Andrew	Loss
		Almada Monter, Sergio Angel	Bakhtin
		Reguera Rodriguez, Maria Del Carme	Lacey
		Webb, Benjamin Zachary	Bunimovich
		Yerger, Carl Roger	Thomas
		Howard, David Michael	Trotter
		Palmer, Ian Christian	Bellissard
		Stefansson, Ulfar Freyr	Lubinsky
		Tinaztepe, Ramazan	Heil
		Vagharshakyan, Armen Ashot	Lacey
		Bishop, Shannon Renee Smith	Heil
		Keller, Mitchel Todd	Trotter
		Deng, Hao	Zhou
		Yildirim Yolcu, Selma	Harrell
		Zhao, Kun	Pan
		Borenstein, Evan Scot	Croot
		Grigo, Alexander	Bunimovich
		Kim, Hwa Kil	Gangbo
		Yolcu, Turkay	Gangbo
		Greenberg, Samuel Gottfried	Randall
		Bilinski, Mark	Yu
		Li, Yongfeng	Yi
		Litherland, Trevis J	Houdre
		Xu, Hua	Houdre
		Young, Stephen James	Mihail
		Yurchenko, Aleksey	Bunimovich
		Biro, Csaba	Trotter
		Jimenez, David Adrian	Wang
		Marcus, Adam Wade	Tetali
		Pearson, John Clifford	Bellissard
		Pugliese, Alessandro	Dieci
		Savinien, Jean Philippe Xavier	Bellissard
		Carroll, Christina Conklin	Tetali
		Inkmann, Torsten	Thomas
		Kampel, Guido	Goldsztein
		Kettner, Michael	Basu
		Lessard, Jean-Philippe	Mischaikow
		Viveros Rogel, Jorge	Yi
		Ulusoy, Suleyman	Carlen
		Jiang, Wen	Xu
		Komendarczyk, Rafal Adam	Ghrist
		Hegde, Rajneesh Dattatray	Thomas
		Hohenegger, Christel	Mucha
		Wollan, Paul Joseph	Thomas
		Chen, Jian	Yi
		Gameiro, Marcio Fuzeto	Mischaikow
		Moeller, Todd Keith	Mischaikow
		Norin, Sergey	Thomas
		Hernandez-Urena, Luis	Kertz
		Sammer, Marcus D	Tetali
		Sanchez, Jose Luis Hernandez	Chow
		Song, Zixia	Thomas
		Figueroa-Lopez, Jose Enrique	Houdré
		Kreslavskiy, Dmitry Michael	Bunimovich
		Rasmussen, Bryan Michael	Dieci
		Curran, Sean Patrick	Yu
		Day, Sarah Lynn	Mischaikow
		Okoudjou, Kasso Akochaye	Heil
		Sheppardson, Laura Jean	Yu
		Khlabystova, Milena Alexandrovna	Bunimovich
		Wang, Xuelei	Jin
	Polygonal Approximation for Flows	Boczko, Erik Miklos	Mischaikow
		Agueh, Martial Marie-Paul	Gangbo
		Del Magno, Gianluigi	Bunimovich
		Kelome, Djivede Armel	Swiech
		Maroofi, Hamed	Gangbo
		Rebaza Vasquez, Jorge Luis	Dieci
		Martin, Russell Andrew	Randall
		Murali, Shobhana	Houdré
		Sitton, David Edward Range	Hill
		Burer, Samuel Andrew	Monteiro
		Stoyanov, Tzvetan Ivanov	Houdré
	Some generalizations of the Knaster-Kuratowski-Mazurkiewicz Theorem	Gonzalez Espinoza, Luis Armando	Cain
		Jacobs, Denise Anne Kanabroski	Heil
		Rivera, Roberto Rafael	Robinson
		Thomson, Jan Mcdonald	Thomas
		Baker, Anthony Wayne	Mischaikow
		Harrelson, Dyana Rae Rice	Houdré
		Labate, Demetrio	Heil
		McShine, Lisa Maria	Tetali
		Vougalter, Vitali Grigor'Evich	Loss
	Random Probability Measures with Given Mean and Variance	Bloomer, Lisa A	Hill
		Heckman, Christopher Carl	Thomas
		Kerce, James Clayton	Carlen
		Weedermann, Marion	Hale
		Hlineny, Petr	Thomas
		Klabjan, Diego	Nemhouse/Duke
		Walls, Barrett Hamilton	Thomas
		Szymczak, Andrzej	Mischaikow
		Acosta, Antonio Ramon	Chow
		Fowler, Tom George	Thomas
		Watson, Greg Malcolm	Mischaikow
		Belogay, Eugeni Alexandrov	Wang
		O'Connell, Walter Richard	Harrell
		Pederson, Steven Michael	Xia
		Salazar Gonzalez, Jose Domingo	Hale
		Yang, Xue-Feng	Harrell
		Kuhn, Zuzana Thomas	Hill
		Tan, Bin	Hale
		Lara, Pulido Teodoro Del Car	Chow
		Carbinatto, Maria Do Carmo	Mischaikow
		Keeve, Michael Octavis	Dieci
		Kuhn, Wolfgang	Estep
		Liu, Weishi	Chow
		LaDue, Mark Douglas	Green
		Leeds, Kevin N	Shonkwiler
		Dai, Wanyang	Dai
		Venkatagiri, Shankar C	Bunimovich
		Bussian, Eric Richard	Duke
		Rehacek, Jan	Bunimovich
		Thomas, Diana Maria	Chow
		Mendivil, Franklin Arturo	Cain
		Rufeger, Waltraud	Ames
		Eidenschink, Michael	Mischaikow
		Leiva, Hugo	Chow
		Meddin, Mona	Shonkwiler
		Hardin, Douglas Patten	Barnsley
		Banaszuk, Andrzej	Loss
		Donovan, George Cassinis	Geronimo
		Howard, Timothy Gerard	Herod
		Young, Todd Ray	Afraimovich/Chow
		Pinto, Joao Teixeira	Hale
		Gedeon, Tomas	Mischaikow
		Burchard, Almut Dorothea	Loss
		Michel, Patricia L	Harrell
		Oliva Filho, Sergio Muniz	Hale
		Bright, Theresa Ann	Ames
		Hines, Gwendolen M	Hale
		Sanders, Daniel Preston	Thomas
		Kelly, William Benjamin	Meyer
		Chen, Mingxiang	Chow
		Carvalho, Alexandre Nolasco De	Hale
		Shen, Wenxian	Chow
		Shieh, Jung-Sheng	Tong
		Kwek, Keng-Huat	Chow
		Arrieta, Jose M	Hale
		Arrigo, Daniel Joseph	Ames
		Green, Edward Lee	Harrell
		King, James Francis	Geronimo
		Kuai, Wenming	Shonkwiler
		Van Vleck, Erik Scott	Chow
		Postell, Floyd Vince	Ames
		James, Glenn Edward	Harrell
		Smith, Dale T	Harrell
		Jacquin, Arnaud Eric	Barnsley
		Jones, Martin Lee	Hill
		Abell, Martha Louise	Ames
		Lewellen, Gary Boyd	Cain
		Patterson, Wanda Mcnair	Andrew
		Khadivi, Mohammad Reza	Green
		Peters, James Edward	Ames
		Brown, Martin Lloyd	Ames
		Richards, Pamela Childs	Ames
		Womble, David Eugene	Meyer
		Massopust, Peter Robert	Barnsley
		Herndon, John Alan	Barnsley
		Ervin, Vincent John	Ames
		Raddatz, William Daniel	Barnsley
		Withers, William Douglas	Karlovitz
		Bielecki, Daria Jan	Sledd
		Mokole, Eric Louis	Sledd
		Boisvert, Robert Eugene	Ames
		Glidewell, Samuel Ray	Sledd
		Hubbard, Elaine Marjorie	Goode
		Ingle, Richard Maurice	Stallybrass
		Freedman, Michael Aaron	Herod
		Jory, Virginia Vickery	Herod
		Siegrist, Kyle Travis	Kertz
		West, Michael Scott	Sledd
		Faulkner, Gary Doyle	Shonkwiler
		Kramarz, Luis	Kammerer
		Summers, Richard Deane	Stallybrass
		Sullivan, Joe Wheeler	Herod
		Purdom, Seaton Driskell	Herod
		Scherer, Stephen Edwin	Stallybrass
		McKibben, William Pullin	Sledd
		Christian, William Greer	Sledd
		Rollins, Laddie Wayne	Stallard
		Lovelady, David Lowell	Herod
		Martens, Walter Frederick	Sledd
		Reddien, George William	Kammerer
		Buckley, James Joseph	Coleman
		Lee, Philip Francis	Kurth
		Brown, David Lyle	Kasriel
		Lucas, Thomas Ramsey	Kammerer
		Martin, Robert Harold	Stallard
		Wertheimer, Stanley Joseph	Kasriel
		Huthnance, Edward Dennis	Robinson
		Law, Alan Greenwell	Sledd
		Cook, Frederick Lee	Sledd
		Fuller, Richard Vernon	Kasriel
		Jayne, John William	Sledd
		Cain, George Lee	Kasriel
		Stiles, Wilbur Janes	Kammerer

Masters Dissertations

	(external link)
		Hall, Ariana	Wang, Z.
		Ma, Yuanzhe	Damron, M.
		Li, Jiaheng	Damron, M.
		Hebbe Madhusudhana, Bharath	Blekherman, G.
		Elmas, Gokhan	Etnyre
		Hurth, Tobias	Bakhtin
		Hupp, Phillipp	Harrell
		Ford, Allison Elaine	Mucha
		Leach, Sandie Patricia	Heil
		Goble, Tiffany Danielle	Belinfante
		White, Edward C., Jr.	Harrell
		Hynd, Ryan Charles	McCuan
		Hart, Derrick N.	Lacey
		Zickfeld, Florian	Yu
		Baamann, Katharina	Mucha
		Doto, James William	Carlen

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Mathematics MSc dissertations

The Department of Mathematics and Statistics was host until 2014 to the MSc course in the Mathematics of Scientific and Industrial Computation (previously known as Numerical Solution of Differential Equations) and the MSc course in Mathematical and Numerical Modelling of the Atmosphere and Oceans. A selection of dissertation titles are listed below, some of which are available online:

2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

2014: Mathematics of Scientific and Industrial Computation

Amanda Hynes - Slow and superfast diffusion of contaminant species through porous media

2014: Applicable and Numerical Mathematics

Emine Akkus - Estimating forecast error covariance matrices with ensembles

Rabindra Gurung - Numerical solution of an ODE system arising in photosynthesis

2013: Mathematics of Scientific and Industrial Computation

Zeinab Zargar - Modelling of Hot Water Flooding as an Enhanced Oil Recovery Method

Siti Mazulianawati Haji Majid - Numerical Approximation of Similarity in Nonlinear Diffusion Equations

2013: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Yu Chau Lam - Drag and Momentum Fluxes Produced by Mountain Waves

Josie Dodd - A Moving Mesh Approach to Modelling the Grounding Line in Glaciology

2012: Mathematics of Scientific and Industrial Computation

Chris Louder - Mathematical Techniques of Image Processing

Jonathan Muir - Flux Modelling of Polynyas

Naomi Withey - Computer Simulations of Dipolar Fluids Using Ewald Summations

2012: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Jean-Francois Vuillaume - Numerical prediction of flood plains using a Lagrangian approach

2011: Mathematics of Scientific and Industrial Computation

Tudor Ciochina - The Closest Point Method

Theodora Eleftheriou - Moving Mesh Methods Using Monitor Functions for the Porous Medium Equation

Melios Michael - Self-Consistent Field Calculations on a Variable Resolution Grid

2011: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Peter Barnet - Rain Drop Growth by Collision and Coalescence

Matthew Edgington - Moving Mesh Methods for Semi-Linear Problems

Samuel Groth - Light Scattering by Penetrable Convex Polygons

Charlotte Kong - Comparison of Approximate Riemann Solvers

Amy Jackson - Estimation of Parameters in Traffic Flow Models Using Data Assimilation

Bruce Main - Solving Richards' Equation Using Fixed and Moving Mesh Schemes

Justin Prince - Fast Diffusion in Porous Media

Carl Svoboda - Reynolds Averaged Radiative Transfer Model

2010: Mathematics of Scientific and Industrial Computation

Tahnia Appasawmy - Wave Reflection and Trapping in a Two Dimensional Duct

Nicholas Bird - Univariate Aspects of Covariance Modelling within Operational Atmospheric Data Assimilation

Michael Conland - Numerical Approximation of a Quenching Problem

Katy Shearer - Mathematical Modelling of the regulation and uptake of dietary fats

Peter Westwood - A Moving Mesh Finite Element Approach for the Cahn-Hilliard Equation

Kam Wong - Accuracy of a Moving Mesh Numerical Method applied to the Self-similar Solution of Nonlinear PDEs

2010: Mathematical and Numerical Modelling of the Atmosphere and Oceans

James Barlow - Computation and Analysis of Baroclinic Rossby Wave Rays in the Atlantic and Pacific Oceans

Martin Conway - Heat Transfer in a Buried Pipe

Simon Driscoll - The Earth's Atmospheric Angular Momentum Budget and its Representation in Reanalysis Observation Datasets and Climate Models

George Fitton - A Comparative Study of Computational Methods in Cosmic Gas Dynamics Continued

Fay Luxford - Skewness of Atmospheric Flow Associated with a Wobbling Jetstream

Jesse Norris - A Semi-Analytic Approach to Baroclinic Instability on the African Easterly Jet

Robert J. Smith - Minimising Time-Stepping Errors in Numerical Models of the Atmosphere and Ocean

Amandeep Virdi - The Influence of the Agulhas Leakage on the Overturning Circulation from Momentum Balances

2009: Mathematics of Scientific and Industrial Computation

Charlotta Howarth - Integral Equation Formulations for Scattering Problems

David Fairbairn - Comparison of the Ensemble Transform Kalman Filter with the Ensemble Transform Kalman Smoother

Mark Payne - Mathematical Modelling of Platelet Signalling Pathways Mesh Generation and its application to Finite Element Methods

Mary Pham - Mesh Generation and its application to Finite Element Methods

Sarah Cole - Blow-up in a Chemotaxis Model Using a Moving Mesh Method

2009: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Danila Volpi - Estimation of parameters in traffic flow models using data assimilation

Dale Partridge - Analysis and Computation of a Simple Glacier Model using Moving Grids

David MacLeod - Evaluation of precipitation over the Middle East and Mediterranean in high resolution climate models

Joanne Pocock - Ensemble Data Assimilation: How Many Members Do We Need?

Neeral Shah - Impact and implications of climate variability and change on glacier mass balance in Kenya

Tomos Roberts - Non-oscillatory interpolation for the Semi-Lagrangian scheme

Zak Kipling - Error growth in medium-range forecasting models

Zoe Gumm - Bragg Resonance by Ripple Beds

2008: Mathematics of Scientific and Industrial Computation

Muhammad Akram - Linear and Quadratic Finite Elements for a Moving Mesh Method

Andrew Ash - Examination of non-Time Harmonic Radio Waves Incident on Plasmas

Cassandra Moran - Harbour modelling and resonances

Elena Panti - Boundary Element Method for Heat Transfer in a Buried Pipe

Juri Parrinello - Modelling water uptake in rice using moving meshes

Ashley Twigger - Blow-up in the Nonlinear Schrodinger Equation Using an Adaptive Mesh Method

Chloe Ward - Numerical Evaluation of Oscillatory Integrals

Christopher Warner - Forward and Inverse Water-Wave Scattering by Topography

2008: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Fawzi Al Busaidi - Fawzi Albusaidi

Christopher Bowden - A First Step Towards the Calculation of a Connectivity Matrix for the Great Barrier Reef

Evangelia-Maria Giannakopoulou - Flood Prediction and Uncertainty

Victoria Heighton - 'Every snowflake is different'

Thomas Jordan - Does Self-Organised Criticality Occur in the Tropical Convective System?

Gillian Morrison - Numerical Modelling of Tidal Bores using a Moving Mesh

Rachel Pritchard - Evaluation of Fractional Dispersion Models

2007: Numerical solution of differential equations

Tamsin Lee - New methods for approximating acoustic wave transmission through ducts (PDF 2.5MB)

Lee Morgan - Anomalous diffusion (PDF-1.5MB)

Keith Pham - Finite element modelling of multi-asset barrier options (PDF-3MB)

Alastair Radcliffe - Finite element modelling of the atmosphere using the shallow water equations (PDF-2.5MB)

Sanita Vetra - The computation of spectral representations for evolution PDE (PDF-3.2MB)

2007: Mathematical and numerical modelling of the atmosphere and oceans

Laura Baker - Properties of the ensemble Kalman filter (PDF-3.8MB)

Alison Brass - A moving mesh method for the discontinuous Galerkin finite element technique (PDF-916KB)

Daniel Lucas - Application of the phase/amplitude method to the study of trapped waves in the atmosphere and oceans (PDF-1.1MB)

Duduzile Nhlengethwa - Petrol or diesel (PDF-1MB)

Rhiannon Roberts - Modelling glacier flow (PDF-406KB)

David Skinner - A moving mesh finite element method for the shallow water equations (PDF-4.3MB)

Jovan Stojsavljevic - Investigation of waiting times in non-linear diffusion equations using a moving mesh method (PDF-538KB)

2006: Numerical solution of differential equations

Bonhi Bhattacharya - A moving finite element method for high order nonlinear diffusion problems

Jonathan Coleman - High frequency boundary element methods for scattering by complex polygons

Rachael England - The use of numerical methods in solving pricing problems for exotic financial derivatives with a stochastic volatility

Stefan King - Best fits with adjustable nodes and scale invariance

Edmund Ridley - Analysis of integral operators from scattering problems

Nicholas Robertson - A moving Lagrangian mesh model of a lava dome volcano and talus slope

2006: Mathematical and numerical modelling of the atmosphere and oceans

Iain Davison - Scale analysis of short term forecast errors

Richard Silveira - Electromagnetic scattering by simple ice crystal shapes

Nicola Stone - Development of a simplified adaptive finite element model of the Gulf Stream

Halina Watson - The behaviour of 4-D Var for a highly nonlinear system

2005: Numerical solution of differential equations

Jonathan Aitken - Data dependent mesh generation for peicewise linear interpolation

Stephen Arden - A collocation method for high frequency scattering by convex polygons

Shaun Benbow - Numerical methods for american options

Stewart Chidlow - Approximations to linear wave scattering by topography using an integral equation approach

Philip McLaughlin - Outdoor sound propagation and the boundary element method

Antonis Neochoritis - Numerical modelling of islands and capture zone size distributions in thin film growth

Kylie Osman - Numerical schemes for a non-linear diffusion problem

Shaun Potticary - Efficient evaluation of highly oscillatory integrals

Martyn Taylor - Investigation into how the reduction of length scales affects the flow of viscoelastic fluid in parallel plate geometries

Aanand Venkatramanan - American spread option pricing

2005: Mathematical and numerical modelling of the atmosphere and oceans

Richard Fruehmann - Ageostrophic wind storms in the central Caspian sea

Gemma Furness - Using optimal estimation theory for improved rainfall rates from polarization radar

Edward Hawkins - Vorticity extremes in numerical simulations of 2-D geostrophic turbulence

Robert Horton - Two dimensional turbulence in the atmosphere and oceans

David Livings - Aspects of the ensemble Kalman filter

David Sproson - Energetics and vertical structure of the thermohaline circulation

2004: Numerical solution of differential equations

Rakhib Ahmed - Numerical schemes applied to the Burgers and Buckley-Leverett equations

James Atkinson - Embedding methods for the numerical solution of convolution equations

Catherine Campbell-Grant - A comparative study of computational methods in cosmic gas dynamics

Paresh Prema - Numerical modelling of Island ripening

Mark Webber - The point source methods in inverse acoustic scattering

2004: Mathematical and numerical modelling of the atmosphere and oceans

Oliver Browne - Improving global glacier modelling by the inclusion of parameterised subgrid hypsometry within a three-dimensional, dynamical ice sheet model

Petros Dalakakis - Radar scattering by ice crystals

Eleanor Gosling - Flow through porous media: recovering permeability data from incomplete information by function fitting .

Sarah Grintzevitch - Heat waves: their climatic and biometeorological nature in two north american reigions

Helen Mansley - Dense water overflows and cascades

Polly Smith - Application of conservation laws with source terms to the shallow water equations and crowd dynamics

Peter Taylor - Application of parameter estimation to meteorology and food processing

2003: Numerical solution of differential equations

Kate Alexander - Investigation of a new macroscopic model of traffic flow

Luke Bennetts - An application of the re-iterated Galerkin approximation in 2-dimensions

Peter Spence - The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries

Daniel Vollmer - Adaptive mesh refinement using subdivision of unstructured elements for conservation laws

2003: Mathematical and numerical modelling of the atmosphere and oceans

Clare Harris - The Valuation of weather derivatives using partial differential equations

Sarah Kew - Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation

Emma Quaile - Rotation dominated flow over a ridge

Jemma Shipton - Gravity waves in multilayer systems

2002: Numerical solution of differential equations

Winnie Chung - A Spectral Method for the Black Scholes Equations

Penny Marno - Crowded Macroscopic and Microscopic Models for Pedestrian Dynamics

Malachy McConnell - On the numerical solution of selected integrable non-linear wave equations

Stavri Mylona - An Application of Kepler's Problem to Formation Flying using the Störmer-Verlet Method

2002: Mathematical and numerical modelling of the atmosphere and oceans

Sarah Brodie - Numerical Modelling of Stratospheric Temperature Changes and their Possible Causes

Matt Sayer - Upper Ocean Variability in the Equatorial Pacific on Diurnal to Intra-seasonal Timescales

Laura Stanton - Linearising the Kepler problem for 4D-var Data Assimilation

2001: Numerical solution of differential equations

R.B. Brad - An Implementation of the Box Scheme for use on Transcritical Problems

D. Garwood - A Comparison of two approaches for the Approximating of 2-D Scattered Data, with Applications to Geological Modelling

R. Hawkes - Mesh Movement Algorithms for Non-linear Fisher-type Equations

P. Jelfs - Conjugate Gradients with Rational and Floating Point Arithmetic

M. Maisey - Vorticity Preserving Lax-Wendroff Type Schemes

C.A. Radcliffe - Positive Schemes for the Linear Advection Equation

2000: Numerical solution of differential equations

D. Brown - Two Data Assimilation Techniques for Linear Multi-input Systems.

S. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives.

C. Freshwater - The Muskingum-Cunge Method for Flood Routing.

S.H. Man - Galerkin Methods for Coupled Integral Equations.

A. Laird - A New Method for Solving the 2-D Advection Equation.

T. McDowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems.

M. Shahrill - Explicit Schemes for Finding Soliton Solutions of the Korteweg-de Vries Equation.

B. Weston - A Marker and Cell Solution of the Incompressible Navier-Stokes Equations for Free Surface Flow.

1999: Numerical solution of differential equations

M. Ariffin - Grid Equidistribution via Various Algorithmic Approaches.

S.J. Fletcher - Numerical Approximations to Bouyancy Advection in the Eddy Model.

N.Fulcher - The Finite Element Approximation of the Natural Frequencies of a Circular Drum.

V. Green - A Financial Model and Application of the Semi-Lagrangian Time-Stepping Scheme.

D.A. Parry - Construction of Symplectic Runge-Kutta Methods and their Potential for Molecular Dynamics Application.

S.C. Smith - The Evolution of Travelling Waves in a Simple Model for an Ionic Autocatalytic System

P. Swain - Numerical Investigations of Vorticity Preserving Lax-Wendroff Type Schemes.

M. Wakefield - Variational Methods for Upscaling.

1998: Numerical solution of differential equations

C.C. Anderson - A dual-porosity model for simulating the preferential movement of water in the unsaturated zone of a chalk aquifer.

K.W. Blake - Contour zoning.

M.R. Garvie - A comparison of cell-mapping techniques for basins of attraction.

W. Gaudin - HYDRA: a 3-d MPP Eulerian hydrocode.

D. Gnandi - Alternating direction implicit method applied to stochastic problems in derivative finance.

J. Hudson - Numerical techniques for conservation laws with source terms. .

H.S. Khela - The boundary integral method.

K. Singh - A comparison of numerical schemes for pricing bond options.

1997: Numerical solution of differential equations

R.V. Egan - Chaotic response of the Duffing equation. A numerical investigation into the dynamics of the non-linear vibration equation.

R.G. Higgs - Nonlinear diffusion in reservoir simulation.

P.B. Horrocks - Fokker-Planck model of stochastic acceleration: a study of finite difference schemes.

M.A. Wlasek - Variational data assimilation: a study.

1996: Numerical solution of differential equations

A. Barnes - Reaction-diffusion waves in an isothermal chemical system with a general order of autocatalysis.

S.J. Leary - Mesh movement and mesh subdivision.

S. McAllister - First and second order complex differential equations.

R.K. Sadhra - Investigating dynamical systems using the cell-to-cell mapping.

J.P. Wilson - A refined numerical model of sediment deposition on saltmarshes.

1995: Numerical solution of differential equations

M. Bishop - The modelling and analysis of the equations of motion of floating bodies on regular waves.

J. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst.

S. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics.

R. Coad - 1-D and 2-D simulations of open channel flows using upwinding schemes.

1994: Numerical solution of differential equations

M. Ali - Application of control techniques to solving linear systems of equations .

M.H. Brookes - An investigation of a dual-porosity model for the simulation of unsaturated flow in a porous medium .

A.J. Crossley - Application of Roe's scheme to the shallow water equations on the sphere .

D.A. Kirkland - Huge singular values and the distance to instability. .

B.M. Neil - An investigation of the dynamics of several equidistribution schemes .

1993: Numerical solution of differential equations

P.A. Burton - Re-iterative methods for integral equations .

J.M. Hobbs - A moving finite element approach to semiconductor process modelling in 1-D. .

L.M. Whitfield - The application of optimal control theory to life cycle strategies .

S.J. Woolnough - A numerical model of sediment deposition on saltmarshes .

1992: Numerical solution of differential equations

I. MacDonald - The numerical solution of free surface/pressurized flow in pipes. .

A.D. Pollard - Preconditioned conjugate gradient methods for serial and parallel computers. .

C.J. Smith - Adaptive finite difference solutions for convection and convection-diffusion problems .

1991: Numerical solution of differential equations

K.J. Neylon - Block iterative methods for three-dimensional groundwater flow models .

Home > FACULTIES > Applied Mathematics > APMATHS-ETD

Applied Mathematics Theses and Dissertations

This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository

Theses/Dissertations from 2023 2023

Visual Cortical Traveling Waves: From Spontaneous Spiking Populations to Stimulus-Evoked Models of Short-Term Prediction , Gabriel B. Benigno

Spike-Time Neural Codes and their Implication for Memory , Alexandra Busch

Study of Behaviour Change and Impact on Infectious Disease Dynamics by Mathematical Models , Tianyu Cheng

Series Expansions of Lambert W and Related Functions , Jacob Imre

Data-Driven Exploration of Coarse-Grained Equations: Harnessing Machine Learning , Elham Kianiharchegani

Pythagorean Vectors and Rational Orthonormal Matrices , Aishat Olagunju

The Magnetic Field of Protostar-Disk-Outflow Systems , Mahmoud Sharkawi

A Highly Charged Topic: Intrinsically Disordered Proteins and Protein pKa Values , Carter J. Wilson

Population Dynamics and Bifurcations in Predator-Prey Systems with Allee Effect , Yanni Zeng

Theses/Dissertations from 2022 2022

A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites , Venkat Bala

On the Spatial Modelling of Biological Invasions , Tedi Ramaj

Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models , Yuzhu Ruan

A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection , George N. Shillcock

Theses/Dissertations from 2021 2021

Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation , Gianfranco Bino

Mathematical Modelling of Ecological Systems in Patchy Environments , Ao Li

Credit Risk Measurement and Application based on BP Neural Networks , Jingshi Luo

Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts , Evan J. Mitchell

SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra , Steven A. Silber

Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses , Yang Wang

Theses/Dissertations from 2020 2020

The journey of a single polymer chain to a nanopore , Navid Afrasiabian

Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection , Andrew Day

Multi-Scale Evolution of Virulence of HIV-1 , David W. Dick

Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes. , Nickolas Goncharenko

Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes , Amjad Khan

The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics , Omid Mozafar

Mathematical modelling of prophage dynamics , Tyler Pattenden

Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra , Leili Rafiee Sevyeri

Abelian Integral Method and its Application , Xianbo Sun

Theses/Dissertations from 2019 2019

Algebraic Companions and Linearizations , Eunice Y. S. Chan

Algorithms for Mappings and Symmetries of Differential Equations , Zahra Mohammadi

Algorithms for Bohemian Matrices , Steven E. Thornton

A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals , Jeet Trivedi

Theses/Dissertations from 2018 2018

Properties and Computation of the Inverse of the Gamma function , Folitse Komla Amenyou

Optimization Studies and Applications: in Retail Gasoline Market , Daero Kim

Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups , Cody Koykka

Investigation of chaos in biological systems , Navaneeth Mohan

Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model , Xiangyu Wang

Ecology and Evolution of Dispersal in Metapopulations , Jingjing Xu

Selected Topics in Quantization and Renormalization of Gauge Fields , Chenguang Zhao

Three Essays on Structural Models , Xinghua Zhou

Theses/Dissertations from 2017 2017

On Honey Bee Colony Dynamics and Disease Transmission , Matthew I. Betti

Simulation of driven elastic spheres in a Newtonian fluid , Shikhar M. Dwivedi

Feasible Computation in Symbolic and Numeric Integration , Robert H.C. Moir

Modelling Walleye Population and Its Cannibalism Effect , Quan Zhou

Theses/Dissertations from 2016 2016

Dynamics of Discs in a Nematic Liquid Crystal , Alena Antipova

Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay , Nicole Bastow

A comparison of solution methods for Mandelbrot-like polynomials , Eunice Y. S. Chan

A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation , Joshua D. Dunn

Universal Scaling Properties After Quantum Quenches , Damian Andres Galante

Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function , Deepakshi Madaan

Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir , Alina Nadeem

A Sequence of Symmetric Bézout Matrix Polynomials , Leili Rafiee Sevyeri

Study of Infectious Diseases by Mathematical Models: Predictions and Controls , SM Ashrafur Rahman

The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics , Jennifer NS Reid

Essays in Market Structure and Liquidity , Adrian J. Walton

Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods , Fei Wang

Studying Both Direct and Indirect Effects in Predator-Prey Interaction , Xiaoying Wang

Theses/Dissertations from 2015 2015

The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model , Nicole E. Drakos

Algorithms to Compute Characteristic Classes , Martin Helmer

Studies of Contingent Capital Bonds , Jingya Li

Determination of Lie superalgebras of supersymmetries of super differential equations , Xuan Liu

Edge states and quantum Hall phases in graphene , Pavlo Piatkovskyi

Evolution of Mobile Promoters in Prokaryotic Genomes. , Mahnaz Rabbani

Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses , Alexandre Scott

Theses/Dissertations from 2014 2014

A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels , Mona Habibi

Study of Virus Dynamics by Mathematical Models , Xiulan Lai

Applications of Stochastic Control in Energy Real Options and Market Illiquidity , Christian Maxwell

Options Pricing and Hedging in a Regime-Switching Volatility Model , Melissa A. Mielkie

Optimal Contract Design for Co-development of Companion Diagnostics , Rodney T. Tembo

Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation , Yun Tian

Understanding Recurrent Disease: A Dynamical Systems Approach , Wenjing Zhang

Theses/Dissertations from 2013 2013

Pricing and Hedging Index Options with a Dominant Constituent Stock , Helen Cheyne

On evolution dynamics and strategies in some host-parasite models , Liman Dai

Valuation of the Peterborough Prison Social Impact Bond , Majid Hasan

Sensitivity Analysis of Minimum Variance Portfolios , Xiaohu Ji

Eigenvalue Methods for Interpolation Bases , Piers W. Lawrence

Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids , Frances E. Mackay

Ecological Constraints and the Evolution of Cooperative Breeding , David McLeod

A single cell based model for cell divisions with spontaneous topology changes , Anna Mkrtchyan

Analysis of Re-advanceable Mortgages , Almas Naseem

Modeling leafhopper populations and their role in transmitting plant diseases. , Ji Ruan

Topological properties of modular networks, with a focus on networks of functional connections in the human brain , Estefania Ruiz Vargas

Computation Sequences for Series and Polynomials , Yiming Zhang

Theses/Dissertations from 2012 2012

A Real Options Valuation of Renewable Energy Projects , Natasha Burke

Approximate methods for dynamic portfolio allocation under transaction costs , Nabeel Butt

Optimal clustering techniques for metagenomic sequencing data , Erik T. Cameron

Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials , Niloufar Faghihi

Molecular Dynamics Simulations of Peptide-Mineral Interactions , Susanna Hug

Molecular Dynamics Studies of Water Flow in Carbon Nanotubes , Alexander D. Marshall

Valuation of Multiple Exercise Options , T. James Marshall

Incomplete Market Models of Carbon Emissions Markets , Walid Mnif

Topics in Field Theory , Alexander Patrushev

Pricing and Trading American Put Options under Sub-Optimal Exercise Policies , William Wei Xing

Further applications of higher-order Markov chains and developments in regime-switching models , Xiaojing Xi

Theses/Dissertations from 2011 2011

Bifurcations and Stability in Models of Infectious Diseases , Bernard S. Chan

Real Options Models in Real Estate , Jin Won Choi

Models, Techniques, and Metrics for Managing Risk in Software Engineering , Andriy Miranskyy

Thermodynamics, Hydrodynamics and Critical Phenomena in Strongly Coupled Gauge Theories , Christopher Pagnutti

Molecular Dynamics Studies of Interactions of Phospholipid Membranes with Dehydroergosterol and Penetrating Peptides , Amir Mohsen Pourmousa Abkenar

Socially Responsible Investment in a Changing World , Desheng Wu

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Recent Master's Theses - Applied Mathematics

2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015  | 2016  | 2017  | 2018  | 2019  | 2022  | 2023  | 2024

Master's Theses 2024

Mackenzie Cameron
Ben Simpson
Sounak Majumder

Master's Theses 2023

Michael Willette
Adam Winick
Akihiro Takigawa
Kaiwen Jiang
Amelia Kunze
Shervin Hakimi
Martin F. Diaz Robles
Zhuqing Li
Delaney Smith
Thanin Quartz
Brian Mao
Dorsa Sadat Hosseini Khajouei

Master's Theses 2022

Funmilayo Adeku
Darian McLaren
Oluyemi Momoiyioluwa
Kevin Siu
Andrew Bernakevitch
Maria Rosa Preciado Rivas
Dylan Ruth
Aiden Huffman
Daniel Hogg
Jonathan Tessier
Melissa Maria Stadt
Duy Nguyen
Nicholas Joseph Emile Richardson
Nicolas Castro-Folker
Aaron Baier-Reinio

Master's Theses 2019

Cameron Meaney
Jennie Newman
Jesse Legaspi
Kate Clements
Maliha Ahmed
Rishiraj Chakraborty
Stanislav Zonov
Petar Simidzija
Fabian Germ

Master's Theses 2018

Jonathan Horrocks
Luc Larocque
Ding Jia
Sarah Hyatt
Andrew Grace
Adam Morgan
Heming Wang
Khalida Parveen

Master's Theses 2017

Robert Gooding-Townsend
Hyung Jin Kim
Christian Ogbonna
Paul Tiede
Anthony Caterini
Matthew Ambacher
Shawn Corvec
Lorena Cid-Montiel
An Zhou
Guillaume Verdon-Akzam

Master's Theses 2016

Erik Maki
Athanasios (Demetri) Pananos
Joanna Boneng
Justin Shaw
Brian Fernandes
David Layden
Hanzhe Chen
Aaron Coutino
Michael Hynes
Cesar Ramirez Ibanez
Minxin Zhang
Sandhya Harnanan
Alexander Ashbourne

Master's Theses 2015

Tian Qiao
Sumit Sijher
Jason Pye
Tawsif Khan
Shaun Sawyer
Wenzhe Jiang
Marie Barnhill
Seyed Ali Madani Tonekaboni
Naijing Kang
Chengzhu Xu
Brandon May
James Sandham

Master's Theses 2014

Anson Maitland
Oleg Kabernik
Abdulhamed Alsisi
Eric Bembenek
Jason Boisselle (QI)
Keenan Lyon
Robert Leslie Irwin
Junyu Lai
Arman Tavakoli
John Ladan
Yangxin He
Daniel Puzzuoli (QI)
Krishan Rajaratnam

Master's Theses 2013

Luke Bovard
Mikhail Panine
Remziye Karabekmez
Rastko Anicic
Aidan Chatwin-Davies
Victor Veitch
Shyamila Wickramage
Jason Olsthoorn
Martin Fuhry
Janelle Resch
Eric Webster (QI)

Master's Theses 2012

Boglarka Soos
Jonathan Murley
Jared Penney
Zhaoxin Wan
Dale Connor
Zhao Jin
Nazgol Shahbandi

Master's Theses 2011

Anton Baglaenko
Christopher Morley
Eduardo Dos Santos Lobo    Brandao
Drew Lloyd
Sonia Markes
William Ko
Lisa Nagy
Devin Glew
Tyler Holden
Todd Murray Kemp
Kelly Anne Ogden

Master's Theses 2010

Joshua Fletcher
Benjamin Turnbull
Mathieu Cliche
Mahmoudreza Ghaznavi
Nitin Upadhyaya
Antonia Sanchez
Adley Au

Master's Theses 2009

Colin Phipps
Herbert Tang
Ryan Morris
Michael Dumphy
Robert Huneault
Colin Turner
Chad Wells
Scott Rostrup
Edward Dupont
Katie Ferguson
Peter Stechlinski
Derek Steinmoeller
Alen Shun
Subasha Wickramarachichi
Wentao Liu

Master's Theses 2008

Edward Platt
Ranmal Perera
Ilya Kobelevskiy
Christopher Scott Ferrie
Cameron Christou
Easwar Magesan
William Donnelly
Angus Prain
Jeff Timko

Master's Theses 2007

Elham Monifi
Yasunori Aoki
James Gordon
Youna Hu
Lei Tang
Paul Ullrich
Yijia Li
Scott Sitar
Anthony Chak Tong Chan
Tyler Wilson
Roger Chor Chun Chau
Eduardo Barrenechea

Megamenu Global

Megamenu featured, megamenu social, math/stats thesis and colloquium topics.

Updated: April 2024

Math/Stats Thesis and Colloquium Topics 2024- 2025

The degree with honors in Mathematics or Statistics is awarded to the student who has demonstrated outstanding intellectual achievement in a program of study which extends beyond the requirements of the major. The principal considerations for recommending a student for the degree with honors will be: Mastery of core material and skills, breadth and, particularly, depth of knowledge beyond the core material, ability to pursue independent study of mathematics or statistics, originality in methods of investigation, and, where appropriate, creativity in research.

An honors program normally consists of two semesters (MATH/STAT 493 and 494) and a winter study (WSP 031) of independent research, culminating in a thesis and a presentation. Under certain circumstances, the honors work can consist of coordinated study involving a one semester (MATH/STAT 493 or 494) and a winter study (WSP 030) of independent research, culminating in a “minithesis” and a presentation. At least one semester should be in addition to the major requirements, and thesis courses do not count as 400-level senior seminars.

An honors program in actuarial studies requires significant achievement on four appropriate examinations of the Society of Actuaries.

Highest honors will be reserved for the rare student who has displayed exceptional ability, achievement or originality. Such a student usually will have written a thesis, or pursued actuarial honors and written a mini-thesis. An outstanding student who writes a mini-thesis, or pursues actuarial honors and writes a paper, might also be considered. In all cases, the award of honors and highest honors is the decision of the Department.

Here is a list of possible colloquium topics that different faculty are willing and eager to advise. You can talk to several faculty about any colloquium topic, the sooner the better, at least a month or two before your talk. For various reasons faculty may or may not be willing or able to advise your colloquium, which is another reason to start early.

RESEARCH INTERESTS OF MATHEMATICS AND STATISTICS FACULTY

Here is a list of faculty interests and possible thesis topics.  You may use this list to select a thesis topic or you can use the list below to get a general idea of the mathematical interests of our faculty.

Colin Adams (On Leave 2024 – 2025)

Research interests:   Topology and tiling theory.  I work in low-dimensional topology.  Specifically, I work in the two fields of knot theory and hyperbolic 3-manifold theory and develop the connections between the two. Knot theory is the study of knotted circles in 3-space, and it has applications to chemistry, biology and physics.  I am also interested in tiling theory and have been working with students in this area as well.

Hyperbolic 3-manifold theory utilizes hyperbolic geometry to understand 3-manifolds, which can be thought of as possible models of the spatial universe.

Possible thesis topics:

• Investigate various aspects of virtual knots, a generalization of knots.
• Consider hyperbolicity of virtual knots, building on previous SMALL work. For which virtual knots can you prove hyperbolicity?
• Investigate why certain virtual knots have the same hyperbolic volume.
• Consider the minimal Turaev volume of virtual knots, building on previous SMALL work.
• Investigate which knots have totally geodesic Seifert surfaces. In particular, figure out how to interpret this question for virtual knots.
• Investigate n-crossing number of knots. An n-crossing is a crossing with n strands of the knot passing through it. Every knot can be drawn in a picture with only n-crossings in it. The least number of n-crossings is called the n-crossing number. Determine the n-crossing number for various n and various families of knots.
• An übercrossing projection of a knot is a projection with just one n-crossing. The übercrossing number of a knot is the least n for which there is such an übercrossing projection. Determine the übercrossing number for various knots, and see how it relates to other traditional knot invariants.
• A petal projection of a knot is a projection with just one n-crossing such that none of the loops coming out of the crossing are nested. In other words, the projection looks like a daisy. The petal number of a knot is the least n for such a projection. Determine petal number for various knots, and see how it relates to other traditional knot invariants.
• In a recent paper, we extended petal number to virtual knots. Show that the virtual petal number of a classical knot is equal to the classical petal number of the knot (This is a GOOD question!)
• Similarly, show that the virtual n-crossing number of a classical knot is equal to the classical n-crossing number. (This is known for n = 2.)
• Find tilings of the branched sphere by regular polygons. This would extend work of previous research students. There are lots of interesting open problems about something as simple as tilings of the sphere.
• Other related topics.

Possible colloquium topics : Particularly interested in topology, knot theory, graph theory, tiling theory and geometry but will consider other topics.

Christina Athanasouli

Research Interests:   Differential equations, dynamical systems (both smooth and non-smooth), mathematical modeling with applications in biological and mechanical systems

My research focuses on analyzing mathematical models that describe various phenomena in Mathematical Neuroscience and Engineering. In particular, I work on understanding 1) the underlying mechanisms of human sleep (e.g. how sleep patterns change with development or due to perturbations), and 2) potential design or physical factors that may influence the dynamics in vibro-impact mechanical systems for the purpose of harvesting energy. Mathematically, I use various techniques from dynamical systems and incorporate both numerical and analytical tools in my work. 

Possible colloquium topics:   Topics in applied mathematics, such as:

• Mathematical modeling of sleep-wake regulation
• Mathematical modeling vibro-impact systems
• Bifurcations/dynamics of mathematical models in Mathematical Neuroscience and Engineering
• Bifurcations in piecewise-smooth dynamical systems

Julie Blackwood

Research Interests:   Mathematical modeling, theoretical ecology, population biology, differential equations, dynamical systems.

My research uses mathematical models to uncover the complex mechanisms generating ecological dynamics, and when applicable emphasis is placed on evaluating intervention programs. My research is in various ecological areas including ( I ) invasive species management by using mathematical and economic models to evaluate the costs and benefits of control strategies, and ( II ) disease ecology by evaluating competing mathematical models of the transmission dynamics for both human and wildlife diseases.

• Mathematical modeling of invasive species
• Mathematical modeling of vector-borne or directly transmitted diseases
• Developing mathematical models to manage vector-borne diseases through vector control
• Other relevant topics of interest in mathematical biology

Each topic (1-3) can focus on a case study of a particular invasive species or disease, and/or can investigate the effects of ecological properties (spatial structure, resource availability, contact structure, etc.) of the system.

Possible colloquium topics:   Any topics in applied mathematics, such as:

Research Interest :  Statistical methodology and applications.  One of my research topics is variable selection for high-dimensional data.  I am interested in traditional and modern approaches for selecting variables from a large candidate set in different settings and studying the corresponding theoretical properties. The settings include linear model, partial linear model, survival analysis, dynamic networks, etc.  Another part of my research studies the mediation model, which examines the underlying mechanism of how variables relate to each other.  My research also involves applying existing methods and developing new procedures to model the correlated observations and capture the time-varying effect.  I am also interested in applications of data mining and statistical learning methods, e.g., their applications in analyzing the rhetorical styles in English text data.

• Variable selection uses modern techniques such as penalization and screening methods for several different parametric and semi-parametric models.
• Extension of the classic mediation models to settings with correlated, longitudinal, or high-dimensional mediators. We could also explore ways to reduce the dimensionality and simplify the structure of mediators to have a stable model that is also easier to interpret.
• We shall analyze the English text dataset processed by the Docuscope environment with tools for corpus-based rhetorical analysis. The data have a hierarchical structure and contain rich information about the rhetorical styles used. We could apply statistical models and statistical learning algorithms to reduce dimensions and gain a more insightful understanding of the text.

Possible colloquium topics:  I am open to any problems in statistical methodology and applications, not limited to my research interests and the possible thesis topics above.

Richard De Veaux 

Research interests: Statistics.

My research interests are in both statistical methodology and in statistical applications.  For the first, I look at different methods and try to understand why some methods work well in particular settings, or more creatively, to try to come up with new methods.  For the second, I work in collaboration with an investigator (e.g. scientist, doctor, marketing analyst) on a particular statistical application.  I have been especially interested in problems dealing with large data sets and the associated modeling tools that work for these problems.

• Human Performance and Aging.I have been working on models for assessing the effect of age on performance in running and swimming events. There is still much work to do. So far I’ve looked at masters’ freestyle swimming and running data and a handicapped race in California, but there are world records for each age group and other events in running and swimming that I’ve not incorporated. There are also many other types of events.
• Variable Selection.  How do we choose variables when we have dozens, hundreds or even thousands of potential predictors? Various model selection strategies exist, but there is still a lot of work to be done to find out which ones work under what assumptions and conditions.
• Problems at the interface.In this era of Big Data, not all methods of classical statistics can be applied in practice. What methods scale up well, and what advances in computer science give insights into the statistical methods that are best suited to large data sets?
• Applying statistical methods to problems in science or social science.In collaboration with a scientist or social scientist, find a problem for which statistical analysis plays a key role.

Possible colloquium topics:

• Almost any topic in statistics that extends things you’ve learned in courses —  specifically topics in Experimental design, regression techniques or machine learning
• Model selection problems

Thomas Garrity (On Leave 2024 – 2025)

Research interest:   Number Theory and Dynamics.

My area of research is officially called “multi-dimensional continued fraction algorithms,” an area that touches many different branches of mathematics (which is one reason it is both interesting and rich).  In recent years, students writing theses with me have used serious tools from geometry, dynamics, ergodic theory, functional analysis, linear algebra, differentiability conditions, and combinatorics.  (No single person has used all of these tools.)  It is an area to see how mathematics is truly interrelated, forming one coherent whole.

While my original interest in this area stemmed from trying to find interesting methods for expressing real numbers as sequences of integers (the Hermite problem), over the years this has led to me interacting with many different mathematicians, and to me learning a whole lot of math.  My theses students have had much the same experiences, including the emotional rush of discovery and the occasional despair of frustration.  The whole experience of writing a thesis should be intense, and ultimately rewarding.   Also, since this area of math has so many facets and has so many entrance points, I have had thesis students from wildly different mathematical backgrounds do wonderful work; hence all welcome.

• Generalizations of continued fractions.
• Using algebraic geometry to study real submanifolds of complex spaces.

Possible colloquium topics:   Any interesting topic in mathematics.

Leo Goldmakher

Research interests:   Number theory and arithmetic combinatorics.

I’m interested in quantifying structure and randomness within naturally occurring sets or sequences, such as the prime numbers, or the sequence of coefficients of a continued fraction, or a subset of a vector space. Doing so typically involves using ideas from analysis, probability, algebra, and combinatorics.

Possible thesis topics:  

Anything in number theory or arithmetic combinatorics.

Possible colloquium topics:   I’m happy to advise a colloquium in any area of math.

Susan Loepp

Research interests: Commutative Algebra.  I study algebraic structures called commutative rings.  Specifically, I have been investigating the relationship between local rings and their completion.  One defines the completion of a ring by first defining a metric on the ring and then completing the ring with respect to that metric.  I am interested in what kinds of algebraic properties a ring and its completion share.  This relationship has proven to be intricate and quite surprising.  I am also interested in the theory of tight closure, and Homological Algebra.

Topics in Commutative Algebra including:

• Using completions to construct Noetherian rings with unusual prime ideal structures.
• What prime ideals of C[[ x 1 ,…, x n ]] can be maximal in the generic formal fiber of a ring? More generally, characterize what sets of prime ideals of a complete local ring can occur in the generic formal fiber.
• Characterize what sets of prime ideals of a complete local ring can occur in formal fibers of ideals with height n where n ≥1.
• Characterize which complete local rings are the completion of an excellent unique factorization domain.
• Explore the relationship between the formal fibers of R and S where S is a flat extension of R .
• Determine which complete local rings are the completion of a catenary integral domain.
• Determine which complete local rings are the completion of a catenary unique factorization domain.

Possible colloquium topics:   Any topics in mathematics and especially commutative algebra/ring theory.

Steven Miller

For more information and references, see http://www.williams.edu/Mathematics/sjmiller/public_html/index.htm

Research interests :  Analytic number theory, random matrix theory, probability and statistics, graph theory.

My main research interest is in the distribution of zeros of L-functions.  The most studied of these is the Riemann zeta function, Sum_{n=1 to oo} 1/n^s.  The importance of this function becomes apparent when we notice that it can also be written as Prod_{p prime} 1 / (1 – 1/p^s); this function relates properties of the primes to those of the integers (and we know where the integers are!).  It turns out that the properties of zeros of L-functions are extremely useful in attacking questions in number theory.  Interestingly, a terrific model for these zeros is given by random matrix theory: choose a large matrix at random and study its eigenvalues.  This model also does a terrific job describing behavior ranging from heavy nuclei like Uranium to bus routes in Mexico!  I’m studying several problems in random matrix theory, which also have applications to graph theory (building efficient networks).  I am also working on several problems in probability and statistics, especially (but not limited to) sabermetrics (applying mathematical statistics to baseball) and Benford’s law of digit bias (which is often connected to fascinating questions about equidistribution).  Many data sets have a preponderance of first digits equal to 1 (look at the first million Fibonacci numbers, and you’ll see a leading digit of 1 about 30% of the time).  In addition to being of theoretical interest, applications range from the IRS (which uses it to detect tax fraud) to computer science (building more efficient computers).  I’m exploring the subject with several colleagues in fields ranging from accounting to engineering to the social sciences.

Possible thesis topics: 

• Theoretical models for zeros of elliptic curve L-functions (in the number field and function field cases).
• Studying lower order term behavior in zeros of L-functions.
• Studying the distribution of eigenvalues of sets of random matrices.
• Exploring Benford’s law of digit bias (both its theory and applications, such as image, voter and tax fraud).
• Propagation of viruses in networks (a graph theory / dynamical systems problem). Sabermetrics.
• Additive number theory (questions on sum and difference sets).

Possible colloquium topics: 

Plus anything you find interesting.  I’m also interested in applications, and have worked on subjects ranging from accounting to computer science to geology to marketing….

Ralph Morrison

Research interests:   I work in algebraic geometry, tropical geometry, graph theory (especially chip-firing games on graphs), and discrete geometry, as well as computer implementations that study these topics. Algebraic geometry is the study of solution sets to polynomial equations.  Such a solution set is called a variety.  Tropical geometry is a “skeletonized” version of algebraic geometry. We can take a classical variety and “tropicalize” it, giving us a tropical variety, which is a piecewise-linear subset of Euclidean space.  Tropical geometry combines combinatorics, discrete geometry, and graph theory with classical algebraic geometry, and allows for developing theory and computations that tell us about the classical varieties.  One flavor of this area of math is to study chip-firing games on graphs, which are motivated by (and applied to) questions about algebraic curves.

Possible thesis topics : Anything related to tropical geometry, algebraic geometry, chip-firing games (or other graph theory topics), and discrete geometry.  Here are a few specific topics/questions:

• Study the geometry of tropical plane curves, perhaps motivated by results from algebraic geometry.  For instance:  given 5 (algebraic) conics, there are 3264 conics that are tangent to all 5 of them.  What if we look at tropical conics–is there still a fixed number of tropical conics tangent to all of them?  If so, what is that number?  How does this tropical count relate to the algebraic count?
• What can tropical plane curves “look like”?  There are a few ways to make this question precise.  One common way is to look at the “skeleton” of a tropical curve, a graph that lives inside of the curve and contains most of the interesting data.  Which graphs can appear, and what can the lengths of its edges be?  I’ve done lots of work with students on these sorts of questions, but there are many open questions!
• What can tropical surfaces in three-dimensional space look like?  What is the version of a skeleton here?  (For instance, a tropical surface of degree 4 contains a distinguished polyhedron with at most 63 facets. Which polyhedra are possible?)
• Study the geometry of tropical curves obtained by intersecting two tropical surfaces.  For instance, if we intersect a tropical plane with a tropical surface of degree 4, we obtain a tropical curve whose skeleton has three loops.  How can those loops be arranged?  Or we could intersect degree 2 and degree 3 tropical surfaces, to get a tropical curve with 4 loops; which skeletons are possible there?
• One way to study tropical geometry is to replace the usual rules of arithmetic (plus and times) with new rules (min and plus).  How do topics like linear algebra work in these fields?  (It turns out they’re related to optimization, scheduling, and job assignment problems.)
• Chip-firing games on graphs model questions from algebraic geometry.  One of the most important comes in the “gonality” of a graph, which is the smallest number of chips on a graph that could eliminate (via a series of “chip-firing moves”) an added debt of -1 anywhere on the graph.  There are lots of open questions for studying the gonality of graphs; this include general questions, like “What are good lower bounds on gonality?” and specific ones, like “What’s the gonality of the n-dimensional hypercube graph?”
• We can also study versions of gonality where we place -r chips instead of just -1; this gives us the r^th gonality of a graph.  Together, the first, second, third, etc. gonalities form the “gonality sequence” of a graph.  What sequences of integers can be the gonality sequence of some graph?  Is there a graph whose gonality sequence starts 3, 5, 8?
• There are many computational and algorithmic questions to ask about chip-firing games.  It’s known that computing the gonality of a general graph is NP-hard; what if we restrict to planar graphs?  Or graphs that are 3-regular? And can we implement relatively efficient ways of computing these numbers, at least for small graphs?
• What if we changed our rules for chip-firing games, for instance by working with chips modulo N?  How can we “win” a chip-firing game in that context, since there’s no more notion of debt?
• Study a “graph throttling” version of gonality.  For instance, instead of minimizing the number of chips we place on the graph, maybe we can also try to decrease the number of chip-firing moves we need to eliminate debt.
• Chip-firing games lead to interesting questions on other topics in graph theory.  For instance, there’s a conjectured upper bound of (|E|-|V|+4)/2 on the gonality of a graph; and any graph is known to have gonality at least its tree-width.  Can we prove the (weaker) result that (|E|-|V|+4)/2 is an upper bound on tree-width?  (Such a result would be of interest to graph theorists, even the idea behind it comes from algebraic geometry!)
• Topics coming from discrete geometry.  For example:  suppose you want to make “string art”, where you have one shape inside of another with string weaving between the inside and the outside shapes.  For which pairs of shapes is this possible?

Possible Colloquium topics:   I’m happy to advise a talk in any area of math, but would be especially excited about talks related to algebra, geometry, graph theory, or discrete mathematics.

Shaoyang Ning (On Leave 2024 – 2025)

Research Interest :  Statistical methodologies and applications. My research focuses on the study and design of statistical methods for integrative data analysis, in particular, to address the challenges of increasing complexity and connectivity arising from “Big Data”. I’m interested in innovating statistical methods that efficiently integrate multi-source, multi-resolution information to solve real-life problems. Instances include tracking localized influenza with Google search data and predicting cancer-targeting drugs with high-throughput genetic profiling data. Other interests include Bayesian methods, copula modeling, and nonparametric methods.

• Digital (disease) tracking: Using Internet search data to track and predict influenza activities at different resolutions (nation, region, state, city); Integrating other sources of digital data (e.g. Twitter, Facebook) and/or extending to track other epidemics and social/economic events, such as dengue, presidential approval rates, employment rates, and etc.
• Predicting cancer drugs with multi-source profiling data: Developing new methods to aggregate genetic profiling data of different sources (e.g., mutations, expression levels, CRISPR knockouts, drug experiments) in cancer cell lines to identify potential cancer-targeting drugs, their modes of actions and genetic targets.
• Social media text mining: Developing new methods to analyze and extract information from social media data (e.g. Reddit, Twitter). What are the challenges in analyzing the large-volume but short-length social media data? Can classic methods still apply? How should we innovate to address these difficulties?
• Copula modeling: How do we model and estimate associations between different variables when they are beyond multivariate Normal? What if the data are heavily dependent in the tails of their distributions (commonly observed in stock prices)? What if dependence between data are non-symmetric and complex? When the size of data is limited but the dimension is large, can we still recover their correlation structures? Copula model enables to “link” the marginals of a multivariate random variable to its joint distribution with great flexibility and can just be the key to the questions above.
• Other cross-disciplinary, data-driven projects: Applying/developing statistical methodology to answer an interesting scientific question in collaboration with a scientist or social scientist.

Possible colloquium topics:   Any topics in statistical methodology and application, including but not limited to: topics in applied statistics, Bayesian methods, computational biology, statistical learning, “Big Data” mining, and other cross-disciplinary projects.

Anna Neufeld

Research interests:  My research is motivated by the gap between classical statistical tools and practical data analysis. Classic statistical tools are designed for testing a single hypothesis about a single, pre-specified model. However, modern data analysis is an adaptive process that involves exploring the data, fitting several models, evaluating these models, and then testing a potentially large number of hypotheses about one or more selected models. With this in mind, I am interested in topics such as (1) methods for model validation and selection, (2) methods for testing data-driven hypotheses (post-selection inference), and (3) methods for testing a large number of hypotheses. I am also interested in any applied project where I can help a scientist rigorously answer an important question using data. 

• Cross-validation for unsupervised learning. Cross-validation is one of the most widely-used tools for model validation, but, in its typical form, it cannot be used for unsupervised learning problems. Numerous ad-hoc proposals exist for validating unsupervised learning models, but there is a need to compare and contrast these proposals and work towards a unified approach.
• Identifying the number of cell types in single-cell genomics datasets. This is an application of the topic above, since the cell types are typically estimated via unsupervised learning.
• There is growing interest in “post-prediction inference”, which is the task of doing valid statistical inference when some inputs to your statistical model are the outputs of other statistical models (i.e. predictions). Frameworks have recently been proposed for post-prediction inference in the setting where you have access to a gold-standard dataset where the true inputs, rather than the predicted inputs, have been observed. A thesis could explore the possibility of post-prediction inference in the absence of this gold-standard dataset.
• Any other topic of student interest related to selective inference, multiple testing, or post-prediction inference.
• Any collaborative project in which we work with a scientist to identify an interesting question in need of non-standard statistics.
• I am open to advising colloquia in almost any area of statistical methodology or applications, including but not limited to: multiple testing, post-selection inference, post-prediction inference, model selection, model validation, statistical machine learning, unsupervised learning, or genomics.

Allison Pacelli

Research interests:   Math Education, Math & Politics, and Algebraic Number Theory.

Math Education.  Math education is the study of the practice of teaching and learning mathematics, at all levels. For example, do high school calculus students learn best from lecture or inquiry-based learning? What mathematical content knowledge is critical for elementary school math teachers? Is a flipped classroom more effective than a traditional learning format? Many fascinating questions remain, at all levels of education. We can talk further to narrow down project ideas.

Math & Politics.  The mathematics of voting and the mathematics of fair division are two fascinating topics in the field of mathematics and politics. Research questions look at types of voting systems, and the properties that we would want a voting system to satisfy, as well as the idea of fairness when splitting up a single object, like cake, or a collection of objects, such as after a divorce or a death.

Algebraic Number Theory.  The Fundamental Theorem of Arithmetic states that the ring of integers is a unique factorization domain, that is, every integer can be uniquely factored into a product of primes. In other rings, there are analogues of prime numbers, but factorization into primes is not necessarily unique!

In order to determine whether factorization into primes is unique in the ring of integers of a number field or function field, it is useful to study the associated class group – the group of equivalence classes of ideals. The class group is trivial if and only if the ring is a unique factorization domain. Although the study of class groups dates back to Gauss and played a key role in the history of Fermat’s Last Theorem, many basic questions remain open.

  Possible thesis topics:

• Topics in math education, including projects at the elementary school level all the way through college level.
• Topics in voting and fair division.
• Investigating the divisibility of class numbers or the structure of the class group of quadratic fields and higher degree extensions.
• Exploring polynomial analogues of theorems from number theory concerning sums of powers, primes, divisibility, and arithmetic functions.

Possible colloquium topics:   Anything in number theory, algebra, or math & politics.

Anna Plantinga

Research interests:   I am interested in both applied and methodological statistics. My research primarily involves problems related to statistical analysis within genetics, genomics, and in particular the human microbiome (the set of bacteria that live in and on a person).  Current areas of interest include longitudinal data, distance-based analysis methods such as kernel machine regression, high-dimensional data, and structured data.

• Impacts of microbiome volatility. Sometimes the variability of a microbial community is more indicative of an unhealthy community than the actual bacteria present. We have developed an approach to quantifying microbiome variability (“volatility”). This project will use extensive simulations to explore the impact of between-group differences in volatility on a variety of standard tests for association between the microbiome and a health outcome.
• Accounting for excess zeros (sparse feature matrices). Often in a data matrix with many zeros, some of the zeros are “true” or “structural” zeros, whereas others are simply there because we have fewer observations for some subjects. How we account for these zeros affects analysis results. Which methods to account for excess zeros perform best for different analyses?
• Longitudinal methods for compositional data. When we have longitudinal data, we assume the same variables are measured at every time point. For high-dimensional compositions, this may not be the case. We would generally assume that the missing component was absent at any time points for which it was not measured. This project will explore alternatives to making that assumption.
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology (or variations on existing methods) to answer an interesting scientific question.

Any topics in statistical application, education, or methodology, including but not restricted to:

• Topics in applied statistics.
• Methods for microbiome data analysis.
• Statistical genetics.
• Electronic health records.
• Variable selection and statistical learning.
• Longitudinal methods.

Cesar Silva

Research interests :  Ergodic theory and measurable dynamics; in particular mixing properties and rank one examples, and infinite measure-preserving and nonsingular transformations and group actions.  Measurable dynamics of transformations defined on the p-adic field.  Measurable sensitivity.  Fractals.  Fractal Geometry.

Possible thesis topics:    Ergodic Theory.   Ergodic theory studies the probabilistic behavior of abstract dynamical systems.  Dynamical systems are systems that change with time, such as the motion of the planets or of a pendulum.  Abstract dynamical systems represent the state of a dynamical system by a point in a mathematical space (phase space).  In many cases this space is assumed to be the unit interval [0,1) with Lebesgue measure.  One usually assumes that time is measured at discrete intervals and so the law of motion of the system is represented by a single map (or transformation) of the phase space [0,1).  In this case one studies various dynamical behaviors of these maps, such as ergodicity, weak mixing, and mixing.  I am also interested in studying the measurable dynamics of systems defined on the p-adics numbers.  The prerequisite is a first course in real analysis.  Topological Dynamics.  Dynamics on compact or locally compact spaces.

Topics in mathematics and in particular:

• Any topic in measure theory.  See for example any of the first few chapters in “Measure and Category” by J. Oxtoby. Possible topics include the Banach-Tarski paradox, the Banach-Mazur game, Liouville numbers and s-Hausdorff measure zero.
• Topics in applied linear algebra and functional analysis.
• Fractal sets, fractal generation, image compression, and fractal dimension.
• Dynamics on the p-adic numbers.
• Banach-Tarski paradox, space filling curves.

Mihai Stoiciu

Research interests: Mathematical Physics and Functional Analysis. I am interested in the study of the spectral properties of various operators arising from mathematical physics – especially the Schrodinger operator. In particular, I am investigating the distribution of the eigenvalues for special classes of self-adjoint and unitary random matrices.

Topics in mathematical physics, functional analysis and probability including:

• Investigate the spectrum of the Schrodinger operator. Possible research topics: Find good estimates for the number of bound states; Analyze the asymptotic growth of the number of bound states of the discrete Schrodinger operator at large coupling constants.
• Study particular classes of orthogonal polynomials on the unit circle.
• Investigate numerically the statistical distribution of the eigenvalues for various classes of random CMV matrices.
• Study the general theory of point processes and its applications to problems in mathematical physics.

Possible colloquium topics:  

Any topics in mathematics, mathematical physics, functional analysis, or probability, such as:

• The Schrodinger operator.
• Orthogonal polynomials on the unit circle.
• Statistical distribution of the eigenvalues of random matrices.
• The general theory of point processes and its applications to problems in mathematical physics.

Elizabeth Upton

Research Interests: My research interests center around network science, with a focus on regression methods for network-indexed data. Networks are used to capture the relationships between elements within a system. Examples include social networks, transportation networks, and biological networks. I also enjoy tackling problems with pragmatic applications and am therefore interested in applied interdisciplinary research.

• Regression models for network data: how can we incorporate network structure (and dependence) in our regression framework when modeling a vertex-indexed response?
• Identify effects shaping network structure. For example, in social networks, the phrase “birds of a feather flock together” is often used to describe homophily. That is, those who have similar interests are more likely to become friends. How can we capture or test this effect, and others, in a regression framework when modeling edge-indexed responses?
• Extending models for multilayer networks. Current methodologies combine edges from multiple networks in some sort of weighted averaging scheme. Could a penalized multivariate approach yield a more informative model?
• Developing algorithms to make inference on large networks more efficient.
• Any topic in linear or generalized linear modeling (including mixed-effects regression models, zero-inflated regressions, etc.).
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology to answer an interesting scientific question.
• Any applied statistics research project/paper
• Topics in linear or generalized linear modeling
• Network visualizations and statistics

Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations

Mathematics Theses and Dissertations

Theses/dissertations from 2023 2023.

Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton

On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes

Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li

Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner

Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng

Theses/Dissertations from 2022 2022

Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings

The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha

Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay

Tangled up in Tanglegrams , Drew Joseph Scalzo

Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith

Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson

Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock

Theses/Dissertations from 2021 2021

Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington

Polynomials, Primes and the PTE Problem , Joseph C. Foster

Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat

A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara

Trimming Complexes , Keller VandeBogert

Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang

Theses/Dissertations from 2020 2020

An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea

Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice

Rationality Questions and the Derived Category , Alicia Lamarche

Counting Number Fields by Discriminant , Harsh Mehta

Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen

Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih

Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick

Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen

Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang

An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan

Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng

Theses/Dissertations from 2019 2019

Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood

On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark

A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar

Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes

Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell

Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin

Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu

An Implementation of the Kapustin-Li Formula , Jessica Otis

A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer

A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig

Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch

On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann

An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm

Dynamical Entropy of Quantum Random Walks , Duncan Wright

Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang

Theses/Dissertations from 2018 2018

Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed

Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai

Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran

Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman

A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna

Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard

Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson

Graph Homomorphisms and Vector Colorings , Michael Robert Levet

Local Rings and Golod Homomorphisms , Thomas Schnibben

States and the Numerical Range in the Regular Algebra , James Patrick Sweeney

Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao

Theses/Dissertations from 2017 2017

On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins

Subdivision of Measures of Squares , Dylan Bates

Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev

Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov

Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey

Nonequispaced Fast Fourier Transform , David Hughey

Deep Learning: An Exposition , Ryan Kingery

A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis

Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders

Theses/Dissertations from 2016 2016

On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein

Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu

Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky

On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich

Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short

Chebyshev Inversion of the Radon Transform , Jared Cameron Szi

Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang

Theses/Dissertations from 2015 2015

Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung

The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton

Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner

Avoiding Doubled Words in Strings of Symbols , Michael Lane

A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin

Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh

Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith

Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang

Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao

Theses/Dissertations from 2014 2014

The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard

Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn

Independence Polynomials , Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston

On the Group of Transvections of ADE-Diagrams , Marvin Jones

Fake Real Quadratic Orders , Richard Michael Oh

Theses/Dissertations from 2013 2013

Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown

Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole

Deducing Vertex Weights From Empirical Occupation Times , David Collins

Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler

Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove

Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy

Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington

The Weierstrass Approximation Theorem , LaRita Barnwell Hipp

The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations , Meshack K. Kiplagat

Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr

Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano

Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White

Theses/Dissertations from 2012 2012

A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices , Jonathan Brett Barwick

Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu

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PhD Dissertations

In 1909 the department awarded its first PhD to  Grace M. Bareis , whose dissertation was directed by Professor Harry W. Kuhn. The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. To date, the department has awarded over 800 PhD degrees. An average of approximately 15 dissertations per year have been added in recent times. Find below a list of PhD theses completed in our program since 1952. (Additionally, search Ohio State at  Math Genealogy , which also includes some theses from other OSU departments.)

2024	Castillo, Nicholas	On Rational Approximations, Resurgence and Riemann-Hilbert Problems	Ovidiu Costin
2024	Christopherson, Adam	Weak-type Regularity of the Bergman Projection on Non-smooth Domains	Kenneth Koenig
2024	Clause, Nathaniel	New Invariants and Algorithms for Persistence over Posets	Facundo Mémoli
2024	Goldman, Katherine	Shephard Groups	Jingyin Huang
2024	Genlik, Deniz	/Z ]	Hsian-Hua Tseng
2024	Gülen, Aziz Burak		Facundo Mémoli
2024	Lee, Jonghoo		Roy Joshua
2024	Lee, Ray		King-Yeung Lam
2024	Newton, Scott		Sanjeevi Krishnan
2024	Packer, Daniel		Dustin Mixon
2024	Sehgal, Kriti		Ovidiu Costin
2024	Terek Couto, Ivo		Andrzej Derdzinski
2024	Xing, Hao		Nimish Shah
2023	Charparro Sumalave, Gustavo		Lafont, Jean-Francois
2023	Chen, Chen	Total Positivity of the Mixed Grassmannian	Anderson, David
2023	Gomez Flores, Mario		Memoli, Facundo
2023	Pan, Amanda	Random Walks and Number Partitioning	Nguyen, Hoi
2023	Super, Shidhesh		Tseng, Hsian-Hua
2023	Zhou, Ling		Memoli, Facundo
2023	Carr, Matthew		Harper, John
2023	Casey, Ian		Anderson, David
2023	Chen, Quan		Penneys, David
2023	Mishra, Bhawesh		Bergelson, Vitaly
2023	Liu, Baian		Loper, Alan
2023	Su, Wei Hung		Xiu, Dongbin
2023	Wei, Zhining		Luo, Wenzhi
2023	Werf Vander, Andrew		Kahle, Matthew [Paquette, Elliot]
2023	Zhang, Danyu		Gogolyev, Andriy
2022	Ababneh, Ayat		Kahle, Matthew
2022	Ackelsberg, Ethan		Bergelson, Vitaly
2022	Andrejek, Luke		Best, Janet
2022	Call, Benjamin		Thompson, Daniel
2022	Campolongo, Elizabeth		Taylor, Krystal
2022	Chen, Yuhang		Tseng, Hsian-Hua
2022	Dell, Zachary		Penneys, David
2022	Duncan, Paul		Kahle, Matthew
2022	Farhangi, Sohail		Bergelson, Vitaly
2022	Huston, Peter		Penneys, David
2022	Jeon, Minyoung		Anderson, David
2022	Kim, Jimin		Kahle, Matthew
2022	Leung, Wing Hong		Holowinsky, Roman
2022	Martínez Figueroa, Francisco		Kahle, Matthew
2022	Mejia Cordero, Julian		Holowinsky, Roman
2022	Oh, Josiah		Lafont, Jean-Francois
2022	Sun, Jiawei		Xing, Yulong
2022	Tsang, Ling Hei		Katz, Eric
2022	Vargas Bernal, Esteban		Tien, Joseph
2022	Wang, Qingsong		Memoli, Facundo
2022	Wang, Yuda		Koenig, Kenneth
2022	Yan, Pan		Cogdell, James
2022	Yang, Ruize		Xing, Yulong
2022	Zhang, Yilong		Clemens, Herbert
2022	Zhou, Zixu		Dongbin, Xiu
2021	Bainbridge, Gabriel		Krishnan, Sanjeevi
2021	Bello, Jason		Sivakoff, David
2021	Best, Andrew		Bergelson, Vitaly
2021	Bruno, Nick		Loper, Kenneth Alan
2021	Chen, Zhen		Xiu, Dongbin
2021	Clark, Duncan		Harper, John
2021	Clum, Charles		Mixon, Dustin
2021	Ferre Moragues, Andreu		Bergelson, Vitaly
2021	Harper, Matthew		Kerler, Thomas
2021	Hernandez Palomares, Roberto		Penneys, David
2021	Lim, Sunhyuk		Memoli, Facundo
2021	Patel, Dhir		Hiary, Ghaith
2021	Schonsheck, Nikolas		Harper, John
2021	Shah, Aniket		Anderson, David
2021	Wan, Zhengchao		Memoli, Facundo
2021	Wang, Tianyu		Thompson, Daniel
2021	Xie, Yuancheng		Kodama, Yuji
2021	Zelada Cifuentes, Jose Rigoberto Enrique		Bergelson, Vitaly
2021	Zhang, Han		Shah, Nimish
2020	Antoniou, Austin		Loper, Kenneth Alan
2020	Beckwith, Alexander		Luo, Wenzhi
2020	Castillo, Andrew		Koenig, Kenneth
2020	DeBoer, Neil		Carlson, Timothy
2020	Horst, Michael		Johnson, Niles
2020	Kim, Woojin		Memoli, Facundo
2020	Mernik, Luka		McNeal, Jeffery
2020	Ohl, Trent		Miller, Christopher
2020	Osborne, Matthew		Tien, Joseph
2020	Singhal, Kritika		Memoli, Facundo
2020	Wang, Jun		Tseng, Hsian-Hua
2020	Zhang, Runlin		Shah, Nimish
2020	Zhang, Yu		Harper, John
2019	Aggarwal, Keshav		Holowinsky, Roman
2019	Carnovale, Marc		Bergelson, Vitaly
2019	Chowdhury, Samir		Memoli, Facundo
2019	Guo, Sheng		Guan, Bo
2019	Khalil, Osama		Shah, Nimish
2019	Meehan, Sean		Nguyen, Hoi
2019	Okutan, Osman		Memoli, Facundo
2019	Ritchey, Katherine		Kahle, Matthew
2019	Xiong, Jue		McNeal, Jeffery
2019	Xu, Chao		Moscovici, Henri
2019	Yang, Pengyu		Shah, Nimish
2019	Ye, Rongqing		Cogdell, James
2018	Belfanti, Edward Michael		Cogdell, James
2018	Blomquist, Jacobson		Harper, John
2018	Glogic, Irfan		Costin, Ovidiu
2018	Jo, Yeongseong		Cogdell, James
2018	Kennedy, Christopher		Lafont, Jean-Francois
2018	Khan, Gabriel		Zheng, Fangyang
2018	Lin, Yongxiao		Holowinsky, Roman
2018	McGregor, Daniel		Loper, Kenneth Alan
2018	Moore, Daniel		Cogdell, James
2018	Nash, Evan		Kennedy, Gary
2018	Newman, John Andrew		Kahle, Matthew
2018	Nowland, Kevin		Holowinsky, Roman
2018	Renardy, Marissa		Chou, Ching-Shan
2018	Richter, Florian		Bergelson, Vitaly
2018	Sathaye, Bakul		Lafont, Jean-Francois
2018	Shin, Yeonjong		Xiu, Dongbin
2018	Staten, Corey		Johnson, Niles
2018	Wang, Yilong		Kerler, Thomas
2018	Yang, Xige		Xue, Chuan
2018	Yu, Han Baek		Sivakoff, David
2017	Adali, Ali		Tanveer, Saleh
2017	Borland, Alexander		Kerler, Thomas
2017	Dinitz, Thomas		Best, Janet
2017	Glasscock, Daniel		Bergelson, Vitaly
2017	Kim, Tae Eun		Tanveer, Saleh
2017	Liu, Shenhui		Luo, Wenzhi
2017	Parsons, Kyle		Kahle, Matthew
2017	Senay Aras, Betul		Chou, Ching-Shan
2017	Steward, Michael		Loper, Kenneth Alan
2017	Swang, Theodore		Best, Janet
2017	Wang, Yanli		Chou, Ching-Shan
2017	Xia, Bingyu		Anderson, David
2017	You, Fenglong		Tseng, Hsian-Hua
2016	Buenger, Carl		Shah, Nimish
2016	Cervantes, José		Moscovici, Henri
2016	Edholm, Luke		McNeal, Jeffery
2016	Le, Giang		Davis, Michael
2016	Malen, Greg		Kahle, Matthew
2016	Moreira, Joel		Bergelson, Vitaly
2016	Schmidt, Benjamin		Anderson, David
2016	Sun, Weizhou		Chou, Ching-Shan
2016	Wang, Shi		Lafont, Jean-Francois
2016	Zhang, Qing		Cogdell, James
2016	Zheng, Cheng		Shah, Nimish
2015	Baker, Charles		Costin, Ovidiu
2015	Gubkin, Steven		McNeal, Jeffery
2015	Hsu, Ting-Hao		Keyfitz, Barbara
2015	Huang, Jihui		Kodama, Yuji
2015	Lam, Wing Chung		Luo, Wenzhi
2015	Liu, Yang		Moscovici, Henri
2015	Nasca, Angelo		Bergelson, Vitaly
2015	Noble, Laine		Lou, Yuan
2015	Qi, Zhi		Holowinsky, Roman
2015	Robertson, Donald		Bergelson, Vitaly
2015	Sui, Zhenan		Guan, Bo
2015	Talamo, James		Gerlach, Ulrich
2015	Wang, Xiaohui		Golubitsky, Martin
2015	Xia, Xiaoyue		Costin, Ovidiu
2015	Yang, Tao		Moscovici, Henri
2015	Ying, Hao		Keyfitz, Barbara
2015	Zhang, Qing		Luo, Wenzhi
2014	Bosna, Bora		Carlson, Timothy
2014	Christopherson, John		Bergelson, Vitaly
2014	Edgren, Neal		McNeal, Jeffery
2014	Fotis, Samuel		Luo, Wenzhi
2014	Jia, Yuhan		Kodama, Yuji
2014	Kim, Jung Eun		Best, Janet
2014	Miller, Jason		Kennedy, Gary
2014	Nicol, Andrew		Lafont, Jean-Francois
2014	Olmez, Faith		Best, Janet
2014	Ozcakir, Ozge		Tanveer, Saleh
2014	Park, Hyejin		Costin, Ovidiu
2014	Poole, Daniel		Pittel, Boris
2014	Ravindran, Hari		Luo, Wenzhi
2014	Wang, Kun		Lafont, Jean-Francois
2014	Yang, Lei		Shah, Nimish
2014	Ye, Zhilin		Holowinsky, Roman
2013	Acan, Huseyin		Pittel, Boris
2013	Alexander, Samuel		Carlson, Timothy
2013	All, Timothy		Sinnott, Warren
2013	Banerjee, Sayanti		Best, Janet
2013	Chen, Weitao		Chou, Ching-Shan
2013	Estill, Charles		Chmutov, Sergei
2013	George, Jennifer		Kerler, Thomas
2013	Gibbins, Aliska		Davis, Michael W.
2013	Greene, Ryan		Davis, Michael W.
2013	Joecken, Kyle		Lafont, Jean-Francois
2013	Kowalick, Ryan		Lafont, Jean-Francois
2013	Perkins, Rudolph		Goss, David
2013	Peterson, Nicholas		Pittel, Boris
2013	Rosenblatt, Heather		Tanveer, Saleh
2013	Son, Younghwan		Bergelson, Vitaly
2013	Sun, Wei		Guan, Bo
2013	Teh, Wen Chean		Carlson, Timothy
2013	Tychonievich, Michael		Chris Miller
2013	Vutha, Amit		Golubitsky, Martin
2013	Waller, Bradley		Sinnott, Warren
2013	Wiser, Justin		Golubitsky, Martin
2013	Yu, Xun		Clemens, Herbert
2012	Averill, Isabel		Lou, Yuan
2012	Chai, Jingsong		Cogdell, James
2012	Du, Dong		Burghelea, Dan
2012	Easwaran, Hiranmoy		Bergelson, Vitaly
2012	Gard, Andrew		Fangyang Zheng
2012	Kim, Raeyong		Lafont, Jean-Francois
2012	Lynd, Justin		Solomon, Ron
2012	Sequin, Matthew		Kerler, Thomas
2012	Sivaraman, Vaidyanathan		Robertson, G. Neil
2012	Ustian, Alex		Shah, Nimish
2011	Adduci, James		Mityagin, Boris
2011	Danisman, Yusuf		Cogdell, James
2011	Hui, Wing San		Zheng, Fangyang
2011	Ji, Haixia		Feinberg, Martin
2011	McDougal, Robert		Terman, David
2011	Munther, Daniel		Lou, Yuan
2011	Polo, Fabrizio		Bergelson, Vitaly
2011	Ravisankar, Sivaguru		McNeal, Jeffery
2011	Ross, Christopher Jon		Pittel, Boris
2011	Samara, Marko		March, Peter
2011	Valle, Raciel		Leary, Ian
2011	Whitaker, Erica		Cogdell, James
2011	Xie, Zhizhang		Moscovici, Henri
2011	Zhang, Huaijian		Baker, Gregory
2011	Zhang, Lizhi		Costin, Ovidiu
2010	Ahn, Sungwoo		Terman, David
2010	File, Daniel Whitman		Cogdell, James
2010	Huang, Min		Costin, Ovidiu
2010	Im, Jeong Sook		Baker, Gregory
2010	Joshi, Janhavi		McNeal, Jeffery
2010	Kadyrov, Shirali		Shah, Nimish
2010	Khare, Niraj		Seress, Akos
2010	Kilanowski, Phillip		March, Peter
2010	Kim, Kyung-Mi		Cogdell, James
2010	Lee, Gangyong		Rizvi, S. Tariq
2010	Lim, Changhoon		Guan, Bo
2010	Liu, Yu-Han		Clemens, Herbert
2010	Mance, William		Bergelson, Vitaly
2010	Peng, Na		Edgar, Gerald A.
2010	Su, Shu		Kao, Chiu-Yen
2010	Wang, Jie		Clemens, Herbert
2010	Wang, Ying		Kao, Chiu-Yen
2010	Werner, Nicholas		Loper, Alan
2010	Ye, Ji		Tanveer, Saleh
2010	Zeki, Mustafa		Terman, David
2010	Zeytuncu, Yunus Ergin		McNeal, Jeffery
2010	Zhang, Yanyan		Golubitsky, Martin
2009	Altomare, Christian		Robertson, G. Neil
2009	Bezugly, Andriy		Lou, Yuan
2009	Griesmer, John		Bergelson, Vitaly
2009	Joshi, Badal		Best, Janet
2009	Kurt, Oguz		Robertson, G. Neil
2009	Kwa, Kiam Heong		Gerlach, Ulrich
2009	Li, Lingfei		Zheng, Fangyang
2009	Liu, Sheng-Chi		Luo, Wenzhi
2009	Luo, Guo		Baker, Gregory
2009	McSweeney, John		Pittel, Boris
2009	Mehta, Nishali		Seress, Akos
2009	Pikula, Rafal		Bergelson, Vitaly
2009	Puliyambalath, Naushad		Seress, Akos
2009	Qiu, Zhi		Costin, Ovidiu
2009	Shi, Ronggang		Einsiedler, Manfred
2009	Swartz, Eric		Seress, Akos
2009	Wang, Xueying		Terman, David
2009	Xie, Chao		Baker, Gregory
2009	Young, Justin		Rallis, Stephen
2009	Yu, Yang		Baker, Gregory
2009	Zhao, Peng		Luo, Wenzhi
2008	Arms, Scott		Sinnott, Warren
2008	Ault, Shaun		Fiedorowicz, Z.
2008	Balachandran, Niranjan		Robertson, G. Neil
2008	Hur, Suhkjin		Glover, Henry H.
2008	Kar, Aditi		Chatterji, Indira
2008	Khoury, Michael		Cogdell, James
2008	McClain, Christopher		Robertson, G. Neil
2008	Nikolov, Martin		Flicker, Yuval
2008	Niu, Liang		Seress, Akos
2008	Schnell, Christian		Clemens, Herbert
2008	Xiong, Wei		March, Peter
2008	Xu, Songyun		Clemens, Herbert
2008	Yang, Keyan		Seress, Akos
2008	Yeum, Ji-A		Pittel, Boris
2007	Hambrock, Richard		Lou, Yuan
2007	Hammett, Adam		Pittel, Boris
2007	Lennon, Craig		Pittel, Boris G.
2007	Park, Choongseok		Terman, David
2007	Pavlov, Ronald		Bergelson, Vitaly
2007	Pu, Ming		March, Peter
2007	Qi, Dongwen		Davis, Michael
2007	Schoenecker, Kevin		Wyman, Bostwick F.
2007	Stey, George		McNeal, Jeffery D.
2006	Dimitrov, Youri		Edgar, Gerald A.
2006	Fu, Yun		Baker, Gregory
2006	Guler, Dincer		Zheng, Fangyang
2006	Lee, Seung Youn		March, Peter
2006	McKinley, Scott		March, Peter
2006	Oman, Gregory		Loper, Alan
2006	Pitale, Ameya		Rallis, Steven
2006	Tsoi, Man		Sandstede, B. & Lou, Y
2006	Wang, Hongyuan		Zheng, Fangyang
2006	Xia, Honggang		Luo, Wenzhi
2005	Chan, Ping-Shun		Flicker, Yuval
2005	Ghazaryan, Anna		Sandstede, Bjorn
2005	Guloglu, Ahmet		Luo, Wenzhi
2005	Kane, Abdoul		Terman, David
2005	Kaygun, Atabey		Moscovici, Henri
2005	Kennel, Lauren		McNeal, Jeffery
2005	Manukian, Vahagn		Sandstede, Bjorn
2005	Micu, Eliade Mihai		Robertson, G. Neil
2005	Salminen, Adam		Linckelman, Markus
2005	Wolfe, Adam		Seress, Akos
2004	Antal, Tamas		Moscovici, Henri
2004	Argesanu, George		Wyman, Bostwick F.
2004	Herbig, Anne-Katrin		McNeal, Jeffery D.
2004	Iancu, Aniela Karina		Wyman, Bostwick F.
2004	Liu, Xing		Tanveer, Saleh
2004	Malyushitsky, Sergey		Harada, Koichiro
2004	Otto, Michael		Krötz, Bernhard & Stanton, Robert
2004	Roman, Cosmin		Rizvi, Syed M.Tariq
2004	Wang, Jin		Baker, Gregory
2003	Bell, Robert William, II		Charney, Ruth M.
2003	Boros, Dan		Davis, Michael W.
2003	Golubeva, Natalia		Baker, Gregory R.
2003	Gorodnyk, Oleksandr		Bergelson, Vitaly
2003	Han, Zhongxian		Wyman, Bostwick F.
2003	Lladser, Manuel		Pemantle, Robin A.
2003	Mendris, Robert		Nemethi, Andras
2003	Wang, Chian-Jen		Rallis, Stephen
2003	Yablonsky, Eugene		Dynin, Alexander
2003	Zhou, Xiangqian		Robertson, G. Neil
2002	Aydin, Nuh		Ray-Chaudhuri, Dijen K.
2002	Barbacioru, Catalin		Sinnott, Warren M.
2002	Conrad, Eric		Milne, Stephen C.
2002	Craciun, Gheorghe		Feinberg, Martin Robert
2002	Fiala, Nick		Seress, Akos
2002	Hu, Xiaodong		Moscovici, Henri
2002	Jalics, Jozsi Zoltan		Terman, David
2002	McCoy, Ted		Edgar, Gerald A.
2002	Sachelarie, Vlad		Wyman, Bostwick F.
2002	Sherer, Scott		Scott, James
2002	Slone, Rodney		Lee, R.
2001	Beli, Constantin		Hsia, John S.
2001	Breitenbucher, Jon		Milne, Stephen C.
2001	Korchagina, Inna		Solomon, Ronald
2001	Liu, Youjian		Fitz, Michael
2001	Marchenko, Vadim		Terman, David
2001	Pham, Lan		Baker, Gregory R.
2001	Pohlman, Matthew		Baker, Gregory R.
2001	Stacklin, Thomas		Pittel, Boris G.
2001	Xie, Xuming		Tanveer, Saleh
2000	Arenas-Carmona, Luis		Hsia, John S.
2000	Barbu, Adrian		Ash, Avner D.
2000	Butkevich, Sergey		Bergelson, Vitaly
2000	Cashy, John		Glover, Henry H.
2000	Gonciulea, Constantin		Davis, Michael W.
2000	Gries, Daniel		Mislin, Guido
2000	Iskhakov, Igor		Davis, Michael W.
2000	Nabavi, Ali		Ray-Chaudhuri, Dijen K.
2000	Pavlov, Savva		Rallis, Stephen
2000	Qian, Jin		Ray-Chaudhuri, Dijen K.
2000	Ralfs, Arthur		Terman, David
2000	Ramsey, John		Oz, Hayrani A.
2000	Xie, Xuming		Tanveer, Saleh
2000	Zhang, Shaobo		Myung, In Jae
1999	Blackford, Jason		Ray-Chaudhuri, Dijen K.
1999	Bucicovschi, Bogdan		Burghelea, Dan
1999	Genyuk, Julia		Edgar, Gerald A.
1999	Gorokhovsky, Alexander		Moscovici, Henri
1999	Bondareva Humphreys, Natalia		Baishanski, Bogdan M.
1999	Liu, Kan		Ray-Chaudhuri, Dijen K. & Sehgal, Surinder K.
1999	Mihalas, Stelian		Robertson, G. Neil
1999	Möller, Torsten		Crawfis, Roger
1999	Nigussie, Yared		Robertson, G. Neil
1999	Ragozzine, Charles		Ferrar, Joseph C.
1999	Roberts, Joel Philip		Silverberg, Alice
1999	Siap, Irfan		Ray-Chaudhuri, Dijen K.
1999	Snyder, Brian		Goss, David
1999	Szilárd, Ágnes		Nemethi, Andras
1999	Yang, Zifeng		Goss, David
1999	Yeh, Jieh-Shan		Ray Chaudhduri, Dijen
1999	YU, HOSEOG		Rubin, Karl C.
1999	ZHANG, LINGHAI		Terman, David
1998	Golds, Jeffrey		Edgar, Gerald A.
1998	Hartenstein, Margaret		Solomon, Ronald
1998	HLAVACEK, JAN		Baishanski, Bogdan M.
1998	Jalics, Miklos		Baker, Gregory R.
1998	LARICK, PAUL		Bergelson, Vitaly
1998	Lu, Qin		Mislin, Guido
1998	MAKAROV, MIHAIL		Kappeler, Thomas
1998	Mohácsy, Hedvig		Ray-Chaudhuri, Dijen K.
1998	Renedo, Marco		Bergelson, Vitaly
1998	WAYAND, LEE		Davis, Michael W.
1998	ZENKOV, DMITRY		BLOCH, ANTHONY M.
19971997	BALTEANU, CORNEL		FIEDOROWICZ, ZBIGNIEW
1997	CHEN, YU QING		Glover, Henry H.
1997	GALUP, LUIS		Baishanski, Bogdan M.
1997	HLAVACEK, AMY		HUNEKE, J. PHILIP
1997	Hofmann, Glenn		Nagaraja, H.N.
1997	JOHNSON, BRYAN		Baishanski, Bogdan M.
1997	Kim, Yongdai		Baatoszynski, Robert
1997	Koperski, Jeffrey		Batterman, Robert
1997	LEININGER, VERNE		Milne, Stephen C.
1997	MAJOR, EMERY		Burghelea, Dan
1997	NANCE, ANTHONY		DOWLING, THOMAS A.
1997	STADLER, JONATHAN		Milne, Stephen C.
1997	VOMPE, DMITRY		Baker, Gregory
1997	WEISHAAR, ROBERT		Pittel, Boris
1997	YAO, LIHUA		March, Peter
1997	Ye, Jian		Kodama, Yuji
1997	ZINOVIEV, DMITRII		Flicker, Yuval
1996	Altobelli, Joseph		Charney, R.
1996	BABIKOV, MARK		Ferrar, Joseph C.
1996	BAGDASAROV, SERGEY		Mityagin, Boris
1996	Carlson, Charles		Forest, M. Gregory
1996	Chan, Shing-Wai		Moscovici, Henri
1996	Chan, Wai Kiu		Hsia, John
1996	CHERN, SHIKAI		Moscovici, Henri
1996	Das, Manabendra		Edgar, Gerald A.
1996	Degenhardt, Sheldon		Milne, Stephen C.
1996	HUNT, DONALD		CARROLL, FRANCIS W.
1996	JEON, INTAE		March, Peter
1996	Lam, Ching Hung		Harada, Koichiro
1996	Lame, John		Sinnott, Warren
1996	MAHARRY, JOHN		Robertson, G. Neil
1996	Morje, Prabhav		Harada, Koichiro
1996	MULLINS, EDMOND N., JR		Edgar, Gerald A.
1996	POPESCU, CRISTIAN		Rubin, Karl C.
1996	POUFINAS, THOMAS		Mityagin, Boris
1996	ROSENBERG, STEVEN		Sinnott, Warren
1996	SHALACK, JULIE		Ash, Avner D.
1996	SZABO, TIBOR		Seress, Akos
1996	Tsolomitis, Antonis		Davis, W.
1996	Tungol, Ronald		Pittel, Boris G.
1996	Wong, ChiKun		Charney, Ruth
1996	XIAO, YIMIN		TALAGRAND, MICHEL
1996	ZHOU, JIANPING		Wyman, Bostwick F.
1995	Bhatnagar, Gaurav		Milne, Stephen C.
1995	Dixit-Radiya, Vibha		Panda, Dhabaleswar K.
1995	Gupta, Sandeep		Huang, C.H.
1995	Joung, Haewon		Nevai, Paul
1995	Kessar, Radha		Solomon, Ronald
1995	Lee, Cary		Dougherty, Randall
1995	Lee, Yoonweon		Burghelea, Dan
1995	Marcsik, John		Burghelea, Dan
1995	McCutcheon, Randall		Bergelson, Vitaly
1995	Oh, Jangheon		Sinnott, Warren
1995	Peery, Thaddeus		Ozbay, Hitay
1995	Pinter, Ferenc		Nevai, Paul
1995	Snell, Michael		Baishanski, B.
1995	Varga, Jozsef		Mityagin, Boris
1995	Wai, Hon-kit		Burghelea, Dan
1995	Weisz, Iván		Seress, Akos
1995	Wu, Kuo-Chi		Kodama, Y.
1995	Xiang, Qing		Ray-Chaudhuri, D.K.
1995	Xu, Mingzhi		Rubin, Karl
1995	Zhang, Jianxiang		Baishanski, Bogdan
1994	Ashokkumar, C. R.		Yedavalli, Rama K.
1994	Dharmatilake, Jack		Robertson, G. Neil
1994	Giust, Steven		Wyman, Bostwick F.
1994	Gonzalez-Aviles, Cristian		Rubin, Karl C.
1994	Jiang, Dihua		Rallis, Stephen
1994	Li, Kuo-tung		Rosenblatt, Joseph
1994	Manjrekar, Rajesh		Ash, Avner
1994	McClure, Mark		Edgar, Gerald A.
1994	Schwartz, Peter		Rosenblatt, Joseph
1994	Shao, You Yu		Hsia, John
1994	Wu, Xiaohong		Dowling, Thomas
1994	Zantout, Rached		Zheng, Yuan F.
1993	Anderson, Michael		Ferrar, J.
1993	Beleznay, F.		Foreman, Matthew
1993	Belhadj, Mohamed		Aldemir, Tunc
1993	Daquila, Richard		Carroll, Francis W.
1993	Elder, Gove		Madan, Manohar L.
1993	Huang, Xiaoming		Bojanic, Ranko
1993	Lee, Euiwoo		Terman, David
1993	Leou, Ying-Tyug		Friedman, Harvey
1993	Ouyang, Mingqing		Neumann, Walter
1993	Sofer, Adriana S.		Ash, Avner
1993	Szabó, Tamás		Divis, Zita
1993	Tang, Shu-Leung		Gold, Robert
1993	Yang, Tzu-Yi		Glover, Henry H.
1993	Zha, Xiaoya		Dowling, Thomas
1993	Zhu, Tianbao		Ray-Chaudhuri, D.K.
1992	Ahmed, Shamim		Klein, Charles A.
1992	Bishop, Gregory		Carlson, Timothy
1992	Cao, Jianzhong		Forest, M.G.
1992	Gethner, Ellen		Parson, L. Alayne
1992	Haaland, Inger		Bergelson, Vitaly
1992	Icaza Perez, Maria		Hsia, John S.
1992	Kane, Stephen		Mityagin, Boris
1992	Kim, Jeongjin		Ray-Chaudhuri, D.K.
1992	Krandick, Werner		Collins, George E.
1992	Lang, Cheng-Lien		Terman, David
1992	Leclerc, Anthony		Moore, Ramon E.
1992	Ling, Tianwen		Friedman, Harvey M.
1992	Liu, Kecheng		Foreman, Matthew
1992	Narayani, Lakshmi		Ray-Chaudhuri, D.K.
1992	Raqab, Mohammad		Nagaraja, Haikady N.
1992	Reyes, Noli		Baishanski, B.
1992	Shaw, Hong-Min		Ray-Chaudhuri, D.K.
1992	Sheu, Shin-pyng		Forest, M. Gregory
1992	Spieler, Barry		Charney, Ruth M.
1992	Zhao, Yue		Robertson, Neil
1991	Banaszak, Grzegorz		Sinnott, Warren
1991	Blanchard, John		Mityagin, Boris
1991	Brozovic, Douglas		Solomon, Ronald
1991	Craighead, Robert		Carroll, F. W.
1991	Dale, Wilbur Nolan		Smith, Malcolm C.
1991	Donahue, Michael		Mityagin, Boris
1991	Johnson, Jeremy		Collins, George E.
1991	Manoharan, Palanivel		Burghelea, Dan
1991	Mariasoosai, William		Baishanski, Bogdan M.
1991	Némethi, András		Moscovici, Henri
1991	O'Ryan Lermanda, Manuel		Shapiro, Daniel
1991	Prabaharan, Kanagarajah		Sucheston, L.
1991	Reinhold-Larsson, Karin B.		Rosenblatt, Joseph
1991	Voon, Shu-Nan		Glover, Henry
1991	Wang, Qi		Forest, M.G.
1991	Xiong, Chuyu		Overman, Edward
1991	Yan, Zhongde		Edgar, Gerald
1990	Chen, Lin		Yesha, Y.
1990	Chilakamarri, Kiran Babu		Robertson, Neil
1990	Druschel, Kimberly		Davis, M.
1990	Forrest, Alan Hunter		Bergelson, Vitaly
1990	Gajda, Wojciech		Davis, M.W.
1990	Iwakata, Yasushi		Dowling, Thomas
1990	Lari-Lavassani, Ali		Lu, Yung-Chen
1990	Lee, Doobum		Burghelea, Dan
1990	Lovri, Miroslav		Derdzinski, A.
1990	Prieto-Cox, Juan		Hsia, John S.
1990	Rodriguez Villegas, Fernando		Sinnott, Warren
1990	Song, Yongjin		Fiedorowics, Zbigniew
1990	Szabo, Laszlo		Sucheston, Louis
1990	Tam, Laying		Baishanski, Louis
1990	Xia, Yining		Glover, Henry H.
1990	Yu, Jenn-Hwa		Edgar, Gerald
1989	Andaloro, Paul		Ferrar, Joseph C.
1989	Anghel, Nicolae		Moscovici, Henri
1989	Bajnok, Bela		Bannai, Eiichi
1989	Bunge, John		Nagaraja, H.N.
1989	Chen, Hua		Burghelea, Dan
1989	Kwok, Wing Man		Bannai, Eiichi
1989	Munemasa, Akihiro		Bannai, Eiichi
1989	Oporowski, Bogdan		Robertson, Neil
1989	Peric, Goran		Moscovici, Henri
1989	Schram, Erin		Ray-Chaudhuri, D.K.
1989	Wierdl, Mate		Bergelson, Vitaly
1989	Wu, Fangbing		Moscovici, Henri
1988	Bannai, Etsuko		Hsia, John Sollion
1988	Fiedler, Joseph		Huneke, John P.
1988	Ghanaat, Patrick		Ruh, Ernst Alfred
1988	Jha, Shing-Whu		Nevai, Paul
1988	Kim, Jae Moon		Gold, Robert
1988	Moussong, Gabor		Davis, Michael W.
1988	Reeder, Mark Stephen		Avner, Dolnick Ash
1988	Rzedowski Calderón, Martha		Madan, Manohar Lal
1988	Villa-Salvador, Gabriel		Madan, Manohar Lal
1988	Wimelaratna, Ramasinghege		Davis, William Jay
1987	Ali, Sayel		Baishanski, B.M.
1987	Han, Sang-Geun		Sinnott, Warren
1987	Lang, Mong-lung		Bannai, Eiichi
1987	Ray, Phillip		Ferrar, J.C.
1987	Song, Sung Yell		Bannai, Eiichi
1987	Vitray, Richard		Robertson, Neil
1986	Batra, Sharat		Wigen, Philip E.
1986	Bezdek, Andras		Glover, Henry
1986	Char, Shobha		Burghelea, Dan
1986	Lee, Jong-Eao		Carroll, Francis
1986	Manickam, Nachimuthu		Bannai, Eiichi
1986	Miklós, Dezsö		Ray-Chaudhuri, D.K.
1986	Sali, Attila		Bannai, Eiichi
1986	Weaver, Robert		Robertson, Neil
1985	Bauldry, William		Nevai, Paul
1985	Brackebusch, Ruth		Edgar, Gerald A.
1985	Burdick, Bruce		Huneke, Philip
1985	Butts, Eric		Davis, William
1985	Childress, Nancy		Gold, Robert
1985	Cho, Chong-Man		Johnson, William B.
1985	Choi, Sul-Young		Bannai, Eiichi
1985	Guan, Puhua		Ash, Avner
1985	Huang, Tayuan		Bannai, Eiichi
1985	Kim, Myung-Hwan		Hsia, John S.
1985	Narang, Kamal		Harada, K.
1985	Seress, Akos		Ray-Chaudhuri, D.K.
1985	Singer, Phyllis		Allen, Harry P.
1985	Song, Hi Ja		Davis, William J.
1984	Brink, James		Gold, Robert
1984	Chidume, Charles		Davis, William J.
1984	Frangos, Nicholas		Sucheston, Louis
1984	Grove, John W., (John Whitaker)		Davis, William
1984	Hemmeter, Joseph		Bannai, Eiichi
1984	Hong, Yiming		Bannai, Eiichi
1984	Ku, Jong-Min		Ferrar, Joseph C.
1984	Sheen, Rong-Chyu		Nevai, Paul
1984	Wajima, Masayuki		Harada, Koichiro
1984	Woldar, Andrew		Solomon, Ronald
1982	Bonan, Stanford		Nevai, Paul
1982	Carothers, Neal		Davis, William
1982	Cheng, Fuhua		Baishanski, Bogdan
1982	Costello, Patrick		Hsia, John S.
1982	D'Mello, Joseph		Cronheim, Arno
1982	Gross, Francis		Ksienski, Aharon A.
1982	Johnson, Sandra		Glover, Henry H.
1982	Kirschenbaum, Marc		Glover, Henry H.
1982	Mahoney, Carolyn		Dowling, Thomas A.
1982	Oprea, John		Burghelea, Dan
1982	Shan, Chin-Chi		Baishanski, Bogdan
1982	Shih, Ching-Hsien		Robertson, Neil
1981	Benham, James		Hsia, John S.
1981	Brickell, Ernest		Ray-Chaudhuri, D.K.
1981	DeLaurentis, John		Edgar, Gerald
1981	Flinn, Patrick		Davis, William
1981	Moon, Aeryung		Bannai, Eiichi
1981	Young, Elmer		Glover, Henry
1979	Gearhart, Thomas		Levine, Norman
1979	Huffman, William		Drobot, S.
1979	Kahn, Jeffry		Ray-Chaudhuri, D.K.
1979	Lichtin, Benjamin		Lu, Yung-Chen
1979	Roth, Robert		Ray-Chaudhuri, D.K.
1979	Valentini, Robert		Cronheim, Arno
1979	Woltermann, Michael		Sehgal, Surinder K.
1978	Anacker, Steven		Dowling, T.A.
1978	Brewster, Stephen		Homer, William
1978	Decker, Richard		Glover, Henry
1978	Ford, David		Zassenhaus, Hans
1978	Ko, Hai-Ping		Dowling, T.A.
1978	Lichtin, Benjamin		Lu, Yung Chen
1978	Lovett, Jane		Ferrar, Joseph
1978	Wang, Shinmin		Dowling, T.A.
1978	Yang, Liow-Jing		Woods, Alan C.
1977	Barnes, Martha		Wilson, Richard
1977	LeFever, John		Ray-Chaudhuri, D.K.
1977	Liu, Chung-Der		Baishanski, Bogdan
1977	Nemzer, Daniel		Ray-Chaudhuri, D.K.
1976	Alspach, Dale		Johnson, William B.
1976	Astbury, Kenneth		Sucheston, L.
1976	Catlin, Paul Allen		Dowling, T.A.
1976	Chakravati, Kamal		Dowling, T.A.
1976	Chang, Kuang-I		Dowling, T.A.
1976	Ching, Wai-Sin		Bostwick, F. Wyman
1976	Denig, William		Dowling, T.A.
1976	Gbur, Mary Flahive		Divis, Bohuslav
1976	Markot, Robert		Bannai, Eiichi
1976	Pal, Sat		Leitzel, James R.C.
1976	Yoder, Jeffery		Mickle, Earl J.
1976	Baker, Ronald		Dowling, T.A.
1975	Burell, Benjamin		Zibler, Joseph A.
1975	Chan, Agnes		Ray-Chaudhuri, D.K.
1975	Dennis, John		Mickle, Earl J.
1975	Donaldson, John		Zassenhaus, Hans
1975	Dor, Leonard		Johnson, William B.
1975	Earnest, Andrew		Hsia, John S.
1975	Johnson, Robert		Drobot, Stefan
1975	Madden, Daniel		Madan, Manohar L.
1975	Ploeger, Bernard		Baishanski, Bogdan
1975	Scrandis, Ann		Zassenhaus, Hans
1975	Sze, Michael Ming Chih		Sucheston, L.
1975	Trushin, David		Allen, Harry P.
1975	Wang, Chin San		Robertson, Neil
1974	Assa, Steven		Harada, Koichiro
1974	Dunham, William		Huneke, Philip
1974	Howell, Russell		Bojanic, Ranko
1974	Kuntz, Amy		Sucheston, Louis
1974	Mayer, David		Brown, Harold
1974	O'Neill, Larkin		Huneke, Philip
1974	Higgins, Rada	On The Asymptotic Behavior Of Certain Sequences	Bojanic, Ranko
1973	Bieberich, Richard		Baishanski, Bogdan
1973	Coon, Lawrence		Riner, John W.
1973	Hansen, Henry		Woods, Alan
1973	Klippert, John		Eustice, Dan
1973	Mertens, Robert		Ross, Arnold E.
1973	McLean, Jeffery		Yaqub, Jill C.D.S.
1973	Peterson, Roger		Hsia, John S.
1973	Sommers, Dean		Crosswhite, F. Joe
1973	Sprague, Alan		Ray-Chaudhuri, D.K.
1973	Ulrey, Michael		Ahlswede, Rudolf
1973	Vijayan, Kulakkatt		Ray-Chaudhuri, D.K.
1973	Wang, Paul Tiing		Kerr, Douglas S.
1973	Winkler, William		Sucheston, L.
1973	Wong, Kwok Chi		Brown, Robert
1972	Agashe, Pushpa		Levine, N.
1972	Delany, Matthew		Zassenhaus, Hans
1972	Ekong, Victor		Bojanic, R.
1972	Hovis, Robert		Levine, N.
1972	Jurick, Robert		Trimble, Harold C.
1972	Lee, You-Hwa		Bojanic, R.
1972	Merklen, Héctor		Zassenhaus, Hans
1972	Molnar, Edward		Mislin, Guido
1972	Pomaredo, Rolando		Janko, Z.
1972	Raber, Neal		Cronheim, A.
1972	Smith, Fredrick		Janko, Z.
1972	Zahroon, Fike		Trimble, Harold
1971	Datta, Biswa		Ray-Chaudhuri, D.K.
1971	Nelson Engle, Jessie		Mickle, E.
1971	Falk, Daniel		Zassenhaus, Hans
1971	Heiberg, Charles		Baishanski, Bogdan
1971	Milles, Stephen		Trimble, Harold
1971	McClure, Clair		Trimble, Harold
1971	Karamanoukian, Zaven		Woods, A.C.
1971	Lundgren, J. Richard		Janko, Z.
1971	Pujara, Lakhpat		Dean, David
1971	Richard, Howard		Trimble, Harold
1971	Rosenblum, Lawrence		Woods, Alan
1971	Sehnert, James		Woods, Alan
1971	St. Andre, Richard		Levine, N.
1971	Terrell, Thomas		Kregnel, U.
1971	Veith, Wilbur		Carroll, F.W.
1970	Anderson, Osiefield		Trimble, Harold
1970	Biddle, James		Cronheim, A.
1970	Dudgeon, Charles		Whitney, D. Random
1970	Gemma, James		Ahlswede, Rudolf
1970	Hanigan, Francis		Uotila, Urho A.
1970	Hill, David		Dean, David
1970	Hogan, Guy		Cronheim, A.
1970	Johnson, Charles		Zassenhaus, Hans
1970	Klein, Albert		Levine, N.
1970	Logan, J. David		Drobot, S.
1970	McFarland, Robert		Zassenhaus, Hans
1970	Sachdeva, Usha		Sucheston, Louis
1970	Stager, William		Levine, Norman
1970	Sonn, Jack		Zassenhaus, Hans
1970	Yanosko, Kenneth		Janko, Z.
1969	Fong, Humphrey Sek-Ching		Sucheston, L.
1969	Haines, David		Levine, Norman
1969	Hale, Douglas		Davis, William
1969	Hern, Thomas		Shapiro, J.M.
1969	Heuvers, Konrad		Drobot, Stefan
1969	Hull, David		Shapiro, J.M.
1969	Kimble, Kenneth		Drobpt, Stefan
1969	Krier, Nicholas		Yaqub, J.
1969	Kunes, Laurence		Shapiro, J.M.
1969	Liang, Joseph Jen-Yin		Zassenhaus, Hans
1969	Mathis, Robert		Saltzer, Charles
1969	Meeks, Joseph		Mickle, E.
1969	Scott, Frank		Levine, Norman
1969	Wee, Leben Li		Levine, Norman
1969	Wilson, R. M.		Ray-Chaudhuri, D.K.
1968	Block, Henry		Shapiro, J.M.
1968	Bonar, Daniel		Carroll, F.W.
1968	Brown, John		Kapp, Wolfgang
1968	Girard, Dennis		Baishanski, Bogdan
1968	Keck, David		Reichelderfer, P.V.
1968	Koehl, Frederick		Carroll, F.W.
1968	Konvisser, Marc		Kappe, Wolfgang
1968	Lu, Yu-Mei Yu		Trimble, Harold C.
1968	Nachman, Louis		Levine, N.
1968	Parker, Donald		Kappe, Wolfgang
1968	Phillips, Paul		Trimble, Harold C.
1968	Plybon, Benjamin		Drobot, Stefan
1968	Pu, Huay-min Huoh		Helsel, R.G.
1968	Queen, Clifford		Zassenhaus, Hans
1968	Riggle, Timothy		Trimble, Harold C.
1968	Shook, Thurston		Levine, N.
1968	Sternbach, Leonard		Dean, David W.
1968	Whitford, Leslie		Baishanski, Bogdan
1967	Caufield, Patrick		Levine, N.
1967	DeVore, Ronald		Bojanic, R.
1967	Kimbleton, Stephen		Shapiro, J.M.
1967	Klimko, Eugene		Sucheston, Louis
1967	Klimko, Lawrence		Sucheston, Louis
1967	Olson, John		Zassenhaus, Hans
1966	Brown, Harold		Zassenhaus, Hans
1966	Caid, Larry		Davis, William
1966	Deever, David		Albian, Alexander
1966	Holden, Lyman		Trimble, Harold C.
1966	Hopkins, Mark		Mickle, E.
1966	Nikolai, Paul		Saltzer, Charles
1966	Steinlage, Ralph		Mickle, E.
1965	Aggarwal, Satish		Bambah, R.P.
1965	Breiter, Thomas		Levine, N.
1965	Boonyasombut, Virool		Shapiro, J.M.
1965	Dumir, V. C.		Bambah, R.P
1965	Frazier, Thyrsa		Reichelderfer, Paul V.
1965	Hans-Gill, R. J.		Bamba, R.P.
1965	Nelson, Larry		Rado, T.
1965	Randels, James		Rado, T.
1964	Anderson, Charles		Kleinfeld, E.
1964	Brabenec, Robert		Helse, R.G.
1964	Brooks, James		Reichelderfer, Paul V.
1964	Chaney, Robin		Reichelderfer, Paul V.
1964	Houghton, Charles		Mickle, E.
1964	Maxwell, John		Reichelderfer, Paul V.
1964	Pu, Hwang Wen		Helsel, R.G.
1963	Coppage, William		Whitney, D.R.
1963	Laffer, Walter		Mann, Henry B.
1963	Lin, Shen		Rado, T.
1963	McWorter, William		Abian, Alexander
1963	Norris, Donald		Reichelderfer, Paul V.
1963	Outcalt, David		Whitney, D.R.
1963	Schaefer, Donald		Mickle, E.
1963	Staley, David		Levine, N.
1962	Dixon, Robert		Tull, J.P.
1962	Duemmel, James		Reichelderfer, Paul V.
1962	Hardy, F. Lane		Kleinfeld, E.
1962	Robison, Donald		Whitney, R.
1962	Ryeburn, David		Reichelderfer, Paul V.
1961	Johnsen, Eugene		Ryser, H.J.
1961	Leetch, James		Helsel, R.G.
1961	Martino, Joseph		Whitney, D.R.
1960	Craft, George		Reichelderfer, Paul V.
1960	Weiler, Fred		Reichelderfer, Paul V.
1960	Willke, Thomas		Whitney, D.R.
1959	Maneri, Carl		Kleinfeld, Erwin
1959	McCulloh, Leon		Mann, Henry B.
1959	Menon, Manavazhi		Mann, Henry B.
1959	Nemitz, William		Mickle, Earl
1958	Haber, Robert		Ryser, H.J.
1958	Silverman, Robert		Whitney, D.R.
1958	Thompson, Robert		Reichelderfer, Paul V.
1958	Tinsley, Marion		Ryser, H.J.
1958	Parker, Ernest		Hall, Marshall
1955	Lin, Chio-Shih		Mann, Henry B.
1955	Parrish, Herbert		Helsel, R.G.
1954	Crowley, Thomas		Helsel, R.G.
1954	Fadell, Albert		Rado, T.
1954	Neugebauer, Christoph		Mickle, E.
1954	Zemlin, Richard		Hall, Marshall
1953	Butts, Hubert		Mann, Henry B.
1953	Dean, Richard		Hall, Marshall
1953	Edwards, Miles		Mickle, E.
1953	Evans, John		Lazar, Nathan
1953	Hoy, Walter		Mann, Henry
1953	Moranda Paul		Mann, Henry
1953	Sterbenz, Pat		Reichelderfer, Paul V.
1952	Fadell, Edward		Reichelderfer, Paul V.
1952	Levine, Norman	Absolutely Continuous Product Transformations Of The Plane	Helsel, R.G
1952	Martin, E. Wainwright		Hall, Marshall
1952	Mendenhall, Robert		Helsel, R.G.
1952	Myers, William		Reichelderfer, Paul. V
1952	Tinnappel, Harold		Mickle, E.
1951	Marsaglia, George	Stochastic Processes And Classes Of Random Variables	Mann, Henry
1950	Hoyoke, Thomas	An Embedding Problem For Transitive Permutation Groups	Hall, Marshall
1949	Whitney, Donald Ransom	A Comparison of the Power of Nonparametric Tests and Tests Based on the Normal Distribution Under Nonnormal Alternatives	Mann, Henry
1949	Colquitt, Landon A.	On Paths Of Minimum Flight Time	Bamforth, Frederic
1947	Adney, Joseph Elliott		Hall, Marshall
1947	Miser, Hugh	Generalized Conformal Representations of Fréchet Surfaces	Rado, Tibor
1947	William, Scott	On Essentially Absolutely Continuous Transformations	Rado, Tibor
1946	Woods, Cecil	A Restricted Class of Convex Functions	Rado, Tibor
1945	Ayer, Miriam	On Convergence In Length	Rado, Tibor
1943	Huskey, Harry	Contributions to the Problem of Geocze	Rado, Tibor
1942	Goffman, Casper	On The Converses Of Certain Theorems On The Symmetric Structure Of Sets And Functions	Henry Blumberg
1942	Helsel, Robert	A Geometrical Application of Intregal Means	Rado, Tibor
1942	Krabill, David	Some Matrices Whose Elements Are Functions Of One Variable	Bamforth, Frederic
1942	Westhafer, Robert	Singular Solutions Of Ordinary Differential Equations Of The First Order	Bamforth, Frederic
1941	Mickle, Earl	Hamiltonian And Quasi-Hamiltonian Functions Associated With Double Integral Variation Problems	La Paz, Lincoln
1941	Ringenberg, Lawrence	On Functions Of Lawrence	Rado, Tibor
1941	Schart, William	Conditions For Solutions Of Certain Differential Equations Which Have Specified Properties	Bamforth, Frederic
1941	Young, Paul	On The Approximation of Functions By Integral Means	Rado, Tibor
1940	Cox, Jr., William	On Cummutative Normal Matrices And Unitary Equivalence Of Matrices	Kuhn, Harry
1939	Hammer, Preston	Projective Geometries Over A Pseudo-Field	Rado, Tibor
1939	Kato. Chosaburo	Configuration N Sub 3	Rado, Tibor
1939	Reichelderfer, Paul	Some Properties Of Continuous Transformations In The Plane	Rado, Tibor
1939	Snyder, Walter	On Functions Of Squares	Rado, Tibor
1939	Tepletsky, Benjamin	Stability And Periodicity Of Solutions Of Mathieu's Equation	Bamforth, Frederic
1938	Rodabaugh, Louis	The Solution of a Certain Linear Partial Differential Equation of the First Order	Bamforth, Frederic
1937	Kohlmetz, Dorothy	Certain Problems Of A Special Character In Convex Functions	Rado, Tibor
1936	Bailey, Alson	An Approach To The Study Of Conic Sections, Based On A Group Of Projective Transformations	Rado, Tibor
1936	Gleyzal, Andre	On Transfinite Real Numbers, General Orders, Riemannian And Finsler Spaces	Blumberg, Henry
1936	Hanson, Eugene	A Theorem Of Denjoy, Young And Saks. Ii. The Tau Limit	Blumberg, Henry
1936	Hummel, Paul	Continued Fractions And Matrices	MacDuffee, Cyrus
1936	Southard, Thomas	On Certain Projective Geometries and Their Relation to Algebra	Rado, Tibor
1935	Jenkins, Emerson	The Composition Of Quadratic Forms	MacDuffee, Cyrus
1935	Lewis, Fred	Some Properties Of An Infinite Class Of Collineation Groups	Kuhn, Harry
1935	Rinehart, Robert	Some Properties Of The Discriminant Matrices Of A Linear Associative Algebra	MacDuffee, Cyrus

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Students normally prepare their dissertations during TT and the long vacation, but it is often valuable to commence background work earlier. A student's dissertation topic should be selected in consultation with their supervisor and the details of the form and scope of the dissertation are described in the Regulations. Here are some potential dissertation projects for the academic year 2022-23. This will be updated for the 2023-24 academic year in February 2024. Also students are encouraged to talk to any potential supervisors, which may include most academics or researchers in OCIAM or the NA Group. Note that the supervisor allocated in the first term will not usually turn out to be the supervisor for the dissertation. Each student will be required to give a short talk and answer questions on the background to their dissertation topic at an open meeting, attended by supervisors, examiners and other students, to be held at the end of May or early June.

The body of the dissertation (excluding appendices etc.) should usually be 40-50 pages (less than 55 pages without penalty).

Students should submit an electronic copy of their dissertation by 12 noon on Wednesday 28th August 2024. The electronic copy should be a single pdf file and should be submitted online.

The oral examination (viva) will be held approximately two weeks later and students will be expected to answer questions on their dissertation.

More details about the dissertation are given in the dissertation handbook .

Past dissertations can be viewed by members of the Mathematical Institute (log in required).

Research Topics & Ideas: Education

170+ Research Ideas To Fast-Track Your Project

If you’re just starting out exploring education-related topics for your dissertation, thesis or research project, you’ve come to the right place. In this post, we’ll help kickstart your research topic ideation process by providing a hearty list of research topics and ideas , including examples from actual dissertations and theses..

PS – This is just the start…

We know it’s exciting to run through a list of research topics, but please keep in mind that this list is just a starting point . To develop a suitable education-related research topic, you’ll need to identify a clear and convincing research gap , and a viable plan of action to fill that gap.

If this sounds foreign to you, check out our free research topic webinar that explores how to find and refine a high-quality research topic, from scratch. Alternatively, if you’d like hands-on help, consider our 1-on-1 coaching service .

Overview: Education Research Topics

• How to find a research topic (video)
• List of 50+ education-related research topics/ideas
• List of 120+ level-specific research topics 
• Examples of actual dissertation topics in education
• Tips to fast-track your topic ideation (video)
• Free Webinar : Topic Ideation 101
• Where to get extra help

Education-Related Research Topics & Ideas

Below you’ll find a list of education-related research topics and idea kickstarters. These are fairly broad and flexible to various contexts, so keep in mind that you will need to refine them a little. Nevertheless, they should inspire some ideas for your project.

• The impact of school funding on student achievement
• The effects of social and emotional learning on student well-being
• The effects of parental involvement on student behaviour
• The impact of teacher training on student learning
• The impact of classroom design on student learning
• The impact of poverty on education
• The use of student data to inform instruction
• The role of parental involvement in education
• The effects of mindfulness practices in the classroom
• The use of technology in the classroom
• The role of critical thinking in education
• The use of formative and summative assessments in the classroom
• The use of differentiated instruction in the classroom
• The use of gamification in education
• The effects of teacher burnout on student learning
• The impact of school leadership on student achievement
• The effects of teacher diversity on student outcomes
• The role of teacher collaboration in improving student outcomes
• The implementation of blended and online learning
• The effects of teacher accountability on student achievement
• The effects of standardized testing on student learning
• The effects of classroom management on student behaviour
• The effects of school culture on student achievement
• The use of student-centred learning in the classroom
• The impact of teacher-student relationships on student outcomes
• The achievement gap in minority and low-income students
• The use of culturally responsive teaching in the classroom
• The impact of teacher professional development on student learning
• The use of project-based learning in the classroom
• The effects of teacher expectations on student achievement
• The use of adaptive learning technology in the classroom
• The impact of teacher turnover on student learning
• The effects of teacher recruitment and retention on student learning
• The impact of early childhood education on later academic success
• The impact of parental involvement on student engagement
• The use of positive reinforcement in education
• The impact of school climate on student engagement
• The role of STEM education in preparing students for the workforce
• The effects of school choice on student achievement
• The use of technology in the form of online tutoring

Level-Specific Research Topics

Looking for research topics for a specific level of education? We’ve got you covered. Below you can find research topic ideas for primary, secondary and tertiary-level education contexts. Click the relevant level to view the respective list.

Research Topics: Pick An Education Level

Primary education.

• Investigating the effects of peer tutoring on academic achievement in primary school
• Exploring the benefits of mindfulness practices in primary school classrooms
• Examining the effects of different teaching strategies on primary school students’ problem-solving skills
• The use of storytelling as a teaching strategy in primary school literacy instruction
• The role of cultural diversity in promoting tolerance and understanding in primary schools
• The impact of character education programs on moral development in primary school students
• Investigating the use of technology in enhancing primary school mathematics education
• The impact of inclusive curriculum on promoting equity and diversity in primary schools
• The impact of outdoor education programs on environmental awareness in primary school students
• The influence of school climate on student motivation and engagement in primary schools
• Investigating the effects of early literacy interventions on reading comprehension in primary school students
• The impact of parental involvement in school decision-making processes on student achievement in primary schools
• Exploring the benefits of inclusive education for students with special needs in primary schools
• Investigating the effects of teacher-student feedback on academic motivation in primary schools
• The role of technology in developing digital literacy skills in primary school students
• Effective strategies for fostering a growth mindset in primary school students
• Investigating the role of parental support in reducing academic stress in primary school children
• The role of arts education in fostering creativity and self-expression in primary school students
• Examining the effects of early childhood education programs on primary school readiness
• Examining the effects of homework on primary school students’ academic performance
• The role of formative assessment in improving learning outcomes in primary school classrooms
• The impact of teacher-student relationships on academic outcomes in primary school
• Investigating the effects of classroom environment on student behavior and learning outcomes in primary schools
• Investigating the role of creativity and imagination in primary school curriculum
• The impact of nutrition and healthy eating programs on academic performance in primary schools
• The impact of social-emotional learning programs on primary school students’ well-being and academic performance
• The role of parental involvement in academic achievement of primary school children
• Examining the effects of classroom management strategies on student behavior in primary school
• The role of school leadership in creating a positive school climate Exploring the benefits of bilingual education in primary schools
• The effectiveness of project-based learning in developing critical thinking skills in primary school students
• The role of inquiry-based learning in fostering curiosity and critical thinking in primary school students
• The effects of class size on student engagement and achievement in primary schools
• Investigating the effects of recess and physical activity breaks on attention and learning in primary school
• Exploring the benefits of outdoor play in developing gross motor skills in primary school children
• The effects of educational field trips on knowledge retention in primary school students
• Examining the effects of inclusive classroom practices on students’ attitudes towards diversity in primary schools
• The impact of parental involvement in homework on primary school students’ academic achievement
• Investigating the effectiveness of different assessment methods in primary school classrooms
• The influence of physical activity and exercise on cognitive development in primary school children
• Exploring the benefits of cooperative learning in promoting social skills in primary school students

Secondary Education

• Investigating the effects of school discipline policies on student behavior and academic success in secondary education
• The role of social media in enhancing communication and collaboration among secondary school students
• The impact of school leadership on teacher effectiveness and student outcomes in secondary schools
• Investigating the effects of technology integration on teaching and learning in secondary education
• Exploring the benefits of interdisciplinary instruction in promoting critical thinking skills in secondary schools
• The impact of arts education on creativity and self-expression in secondary school students
• The effectiveness of flipped classrooms in promoting student learning in secondary education
• The role of career guidance programs in preparing secondary school students for future employment
• Investigating the effects of student-centered learning approaches on student autonomy and academic success in secondary schools
• The impact of socio-economic factors on educational attainment in secondary education
• Investigating the impact of project-based learning on student engagement and academic achievement in secondary schools
• Investigating the effects of multicultural education on cultural understanding and tolerance in secondary schools
• The influence of standardized testing on teaching practices and student learning in secondary education
• Investigating the effects of classroom management strategies on student behavior and academic engagement in secondary education
• The influence of teacher professional development on instructional practices and student outcomes in secondary schools
• The role of extracurricular activities in promoting holistic development and well-roundedness in secondary school students
• Investigating the effects of blended learning models on student engagement and achievement in secondary education
• The role of physical education in promoting physical health and well-being among secondary school students
• Investigating the effects of gender on academic achievement and career aspirations in secondary education
• Exploring the benefits of multicultural literature in promoting cultural awareness and empathy among secondary school students
• The impact of school counseling services on student mental health and well-being in secondary schools
• Exploring the benefits of vocational education and training in preparing secondary school students for the workforce
• The role of digital literacy in preparing secondary school students for the digital age
• The influence of parental involvement on academic success and well-being of secondary school students
• The impact of social-emotional learning programs on secondary school students’ well-being and academic success
• The role of character education in fostering ethical and responsible behavior in secondary school students
• Examining the effects of digital citizenship education on responsible and ethical technology use among secondary school students
• The impact of parental involvement in school decision-making processes on student outcomes in secondary schools
• The role of educational technology in promoting personalized learning experiences in secondary schools
• The impact of inclusive education on the social and academic outcomes of students with disabilities in secondary schools
• The influence of parental support on academic motivation and achievement in secondary education
• The role of school climate in promoting positive behavior and well-being among secondary school students
• Examining the effects of peer mentoring programs on academic achievement and social-emotional development in secondary schools
• Examining the effects of teacher-student relationships on student motivation and achievement in secondary schools
• Exploring the benefits of service-learning programs in promoting civic engagement among secondary school students
• The impact of educational policies on educational equity and access in secondary education
• Examining the effects of homework on academic achievement and student well-being in secondary education
• Investigating the effects of different assessment methods on student performance in secondary schools
• Examining the effects of single-sex education on academic performance and gender stereotypes in secondary schools
• The role of mentoring programs in supporting the transition from secondary to post-secondary education

Tertiary Education

• The role of student support services in promoting academic success and well-being in higher education
• The impact of internationalization initiatives on students’ intercultural competence and global perspectives in tertiary education
• Investigating the effects of active learning classrooms and learning spaces on student engagement and learning outcomes in tertiary education
• Exploring the benefits of service-learning experiences in fostering civic engagement and social responsibility in higher education
• The influence of learning communities and collaborative learning environments on student academic and social integration in higher education
• Exploring the benefits of undergraduate research experiences in fostering critical thinking and scientific inquiry skills
• Investigating the effects of academic advising and mentoring on student retention and degree completion in higher education
• The role of student engagement and involvement in co-curricular activities on holistic student development in higher education
• The impact of multicultural education on fostering cultural competence and diversity appreciation in higher education
• The role of internships and work-integrated learning experiences in enhancing students’ employability and career outcomes
• Examining the effects of assessment and feedback practices on student learning and academic achievement in tertiary education
• The influence of faculty professional development on instructional practices and student outcomes in tertiary education
• The influence of faculty-student relationships on student success and well-being in tertiary education
• The impact of college transition programs on students’ academic and social adjustment to higher education
• The impact of online learning platforms on student learning outcomes in higher education
• The impact of financial aid and scholarships on access and persistence in higher education
• The influence of student leadership and involvement in extracurricular activities on personal development and campus engagement
• Exploring the benefits of competency-based education in developing job-specific skills in tertiary students
• Examining the effects of flipped classroom models on student learning and retention in higher education
• Exploring the benefits of online collaboration and virtual team projects in developing teamwork skills in tertiary students
• Investigating the effects of diversity and inclusion initiatives on campus climate and student experiences in tertiary education
• The influence of study abroad programs on intercultural competence and global perspectives of college students
• Investigating the effects of peer mentoring and tutoring programs on student retention and academic performance in tertiary education
• Investigating the effectiveness of active learning strategies in promoting student engagement and achievement in tertiary education
• Investigating the effects of blended learning models and hybrid courses on student learning and satisfaction in higher education
• The role of digital literacy and information literacy skills in supporting student success in the digital age
• Investigating the effects of experiential learning opportunities on career readiness and employability of college students
• The impact of e-portfolios on student reflection, self-assessment, and showcasing of learning in higher education
• The role of technology in enhancing collaborative learning experiences in tertiary classrooms
• The impact of research opportunities on undergraduate student engagement and pursuit of advanced degrees
• Examining the effects of competency-based assessment on measuring student learning and achievement in tertiary education
• Examining the effects of interdisciplinary programs and courses on critical thinking and problem-solving skills in college students
• The role of inclusive education and accessibility in promoting equitable learning experiences for diverse student populations
• The role of career counseling and guidance in supporting students’ career decision-making in tertiary education
• The influence of faculty diversity and representation on student success and inclusive learning environments in higher education

Education-Related Dissertations & Theses

While the ideas we’ve presented above are a decent starting point for finding a research topic in education, they are fairly generic and non-specific. So, it helps to look at actual dissertations and theses in the education space to see how this all comes together in practice.

Below, we’ve included a selection of education-related research projects to help refine your thinking. These are actual dissertations and theses, written as part of Master’s and PhD-level programs, so they can provide some useful insight as to what a research topic looks like in practice.

• From Rural to Urban: Education Conditions of Migrant Children in China (Wang, 2019)
• Energy Renovation While Learning English: A Guidebook for Elementary ESL Teachers (Yang, 2019)
• A Reanalyses of Intercorrelational Matrices of Visual and Verbal Learners’ Abilities, Cognitive Styles, and Learning Preferences (Fox, 2020)
• A study of the elementary math program utilized by a mid-Missouri school district (Barabas, 2020)
• Instructor formative assessment practices in virtual learning environments : a posthumanist sociomaterial perspective (Burcks, 2019)
• Higher education students services: a qualitative study of two mid-size universities’ direct exchange programs (Kinde, 2020)
• Exploring editorial leadership : a qualitative study of scholastic journalism advisers teaching leadership in Missouri secondary schools (Lewis, 2020)
• Selling the virtual university: a multimodal discourse analysis of marketing for online learning (Ludwig, 2020)
• Advocacy and accountability in school counselling: assessing the use of data as related to professional self-efficacy (Matthews, 2020)
• The use of an application screening assessment as a predictor of teaching retention at a midwestern, K-12, public school district (Scarbrough, 2020)
• Core values driving sustained elite performance cultures (Beiner, 2020)
• Educative features of upper elementary Eureka math curriculum (Dwiggins, 2020)
• How female principals nurture adult learning opportunities in successful high schools with challenging student demographics (Woodward, 2020)
• The disproportionality of Black Males in Special Education: A Case Study Analysis of Educator Perceptions in a Southeastern Urban High School (McCrae, 2021)

As you can see, these research topics are a lot more focused than the generic topic ideas we presented earlier. So, in order for you to develop a high-quality research topic, you’ll need to get specific and laser-focused on a specific context with specific variables of interest.  In the video below, we explore some other important things you’ll need to consider when crafting your research topic.

Get 1-On-1 Help

If you’re still unsure about how to find a quality research topic within education, check out our Research Topic Kickstarter service, which is the perfect starting point for developing a unique, well-justified research topic.

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66 Comments

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Special education

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Research title related to school of students

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Research title related to students

My field is research measurement and evaluation. Need dissertation topics in the field

Assalam o Alaikum I’m a student Bs educational Resarch and evaluation I’m confused to choose My thesis title please help me in choose the thesis title

Good idea I’m going to teach my colleagues

You can find our list of nursing-related research topic ideas here: https://gradcoach.com/research-topics-nursing/

Write on action research topic, using guidance and counseling to address unwanted teenage pregnancy in school

Thanks a lot

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Thank you for the information.. I would like to request a topic based on school major in social studies

parental involvement and students academic performance

Science education topics?

plz tell me if you got some good topics, im here for finding research topic for masters degree

How about School management and supervision pls.?

Hi i am an Deputy Principal in a primary school. My wish is to srudy foe Master’s degree in Education.Please advice me on which topic can be relevant for me. Thanks.

Every topic proposed above on primary education is a starting point for me. I appreciate immensely the team that has sat down to make a detail of these selected topics just for beginners like us. Be blessed.

Kindly help me with the research questions on the topic” Effects of workplace conflict on the employees’ job performance”. The effects can be applicable in every institution,enterprise or organisation.

Greetings, I am a student majoring in Sociology and minoring in Public Administration. I’m considering any recommended research topic in the field of Sociology.

I’m a student pursuing Mphil in Basic education and I’m considering any recommended research proposal topic in my field of study

Research Defense for students in senior high

Kindly help me with a research topic in educational psychology. Ph.D level. Thank you.

Project-based learning is a teaching/learning type,if well applied in a classroom setting will yield serious positive impact. What can a teacher do to implement this in a disadvantaged zone like “North West Region of Cameroon ( hinterland) where war has brought about prolonged and untold sufferings on the indegins?

I wish to get help on topics of research on educational administration

I wish to get help on topics of research on educational administration PhD level

I am also looking for such type of title

I am a student of undergraduate, doing research on how to use guidance and counseling to address unwanted teenage pregnancy in school

the topics are very good regarding research & education .

Can i request your suggestion topic for my Thesis about Teachers as an OFW. thanx you

Would like to request for suggestions on a topic in Economics of education,PhD level

Would like to request for suggestions on a topic in Economics of education

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Am offering degree in education senior high School Accounting. I want a topic for my project work

l would like to request suggestions on a topic in managing teaching and learning, PhD level (educational leadership and management)

request suggestions on a topic in managing teaching and learning, PhD level (educational leadership and management)

I would to inquire on research topics on Educational psychology, Masters degree

I am PhD student, I am searching my Research topic, It should be innovative,my area of interest is online education,use of technology in education

request suggestion on topic in masters in medical education .

Look at British Library as they keep a copy of all PhDs in the UK Core.ac.uk to access Open University and 6 other university e-archives, pdf downloads mostly available, all free.

May I also ask for a topic based on mathematics education for college teaching, please?

Please I am a masters student of the department of Teacher Education, Faculty of Education Please I am in need of proposed project topics to help with my final year thesis

Am a PhD student in Educational Foundations would like a sociological topic. Thank

please i need a proposed thesis project regardging computer science

Greetings and Regards I am a doctoral student in the field of philosophy of education. I am looking for a new topic for my thesis. Because of my work in the elementary school, I am looking for a topic that is from the field of elementary education and is related to the philosophy of education.

Masters student in the field of curriculum, any ideas of a research topic on low achiever students

In the field of curriculum any ideas of a research topic on deconalization in contextualization of digital teaching and learning through in higher education

Amazing guidelines

I am a graduate with two masters. 1) Master of arts in religious studies and 2) Master in education in foundations of education. I intend to do a Ph.D. on my second master’s, however, I need to bring both masters together through my Ph.D. research. can I do something like, ” The contribution of Philosophy of education for a quality religion education in Kenya”? kindly, assist and be free to suggest a similar topic that will bring together the two masters. thanks in advance

Hi, I am an Early childhood trainer as well as a researcher, I need more support on this topic: The impact of early childhood education on later academic success.

I’m a student in upper level secondary school and I need your support in this research topics: “Impact of incorporating project -based learning in teaching English language skills in secondary schools”.

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• Mathematics & Physical Sciences

Simons Foundation Announces New Simons Dissertation Fellowship in Mathematics

The Simons Foundation has announced the new Simons Dissertation Fellowship in Mathematics to provide research support to excellent graduate students in mathematics in the final years of their Ph.D. program. This program has been created to honor the work of our late founder , Jim Simons, and his commitment to supporting great students in the field of mathematics. The Simons Foundation is an in-perpetuity foundation committed to the founder’s vision of supporting mathematics and basic science.

Up to 40 dissertation fellowships will be awarded each year, providing $30,000 in general research support for the student and $2,000 in support for the student’s department, over the course of two years, to coincide with the fourth and fifth year of the student’s Ph.D. program.

To be eligible to apply, an applicant must be enrolled as full-time Ph.D. student in a Ph.D.-granting mathematics department at an institution in the United States and must be in their third year of study. Applicants must apply in the third year of the Ph.D. program. There are no citizenship requirements.

For fellowships starting September 1, 2025, the deadline to apply will be March 31, 2025 at 12 p.m. (noon) EDT. The request for applications (RFA) will open by November 1, 2024. For more information at that time, please contact Liz Roy, senior manager of programs and administration for Mathematics & Physical Sciences, at [email protected] , or see the Funding Opportunities section of the foundation’s website.

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Mathematics Education Doctoral Candidacy, Qualifying Exam, and Dissertation Proposal

Doctoral candidacy status.

Candidacy status is an important attainment for doctoral students. Admission to candidacy status must occur at least six months prior to the date of the final dissertation defense. The condition for granting candidacy status by the Graduate College is the approval of a dissertation proposal by the student's advisory committee. The Department of Mathematics requires in addition that the student pass a Qualifying Exam before approval of the dissertation proposal.

Purpose of the Qualifying Exam

The purpose of the Qualifying Exam is to test students in their area of specialization in order to determine their readiness to write a dissertation in that particular area.

Schedule and Application Procedures

The Qualifying Exam should be taken when the student has mastered a significant body of material related to the area of specialization. This should be approximately at the beginning of the dissertation work. The exam is scheduled by the student's advisory committee in consultation with the student. Admission to candidacy status must occur at least six months prior to the date of the final dissertation defense.

Administration and Evaluation

The Qualifying Exam is given by the student's advisory committee. The chairman of this committee leads the examination process. The advisory committee also determines the result of the exam. The completed  Qualifying Exam Report (.pdf)  form should be returned to the graduate director.

In decisions resulting from a vote of the advisory committee (e.g., Qualifying Exam, dissertation proposal, dissertation defense, approving a dissertation), a pass requires that the advisor vote in the affirmative and that no more than one member of the committee dissent.

Format and Exam Topics

Part of the Qualifying Exam must be oral. It will cover material previously outlined to the student in the form of a reading list. This reading list will be prepared by the student's advisory committee and will consist of portions of books and research papers applicable to the student's area of specialization. The reading list will be given to the student at least two months prior to the exam.

Failure and Re-examination

If the student fails this exam the advisory committee shall notify the student of the conditions under which a second exam may be taken. If the student fails to meet the conditions imposed by the advisory committee, or if s/he fails the second exam, then the Graduate Committee may dismiss the student from the program. Appeals to such dismissal must be filed in writing with the Graduate Committee within 10 working days of the dismissal.

Dissertation Proposal

After the student has passed the Qualifying Exam and after an outline of the dissertation work has been prepared, the student must formally present the research plans to the advisory committee. A written dissertation proposal should be prepared and distributed to the advisory committee. The committee may require an oral presentation by the student. In any case the student should be present to answer questions. It is the responsibility of the committee to evaluate this proposal and determine whether the research plans will lead to an acceptable dissertation. The committee should discuss the extent to which the student will be permitted to use in the dissertation results of papers published (or to be published) with others. The dissertation proposal should identify any portions of the research project that are planned as joint work with others. Upon approval by the advisory committee of the dissertation proposal, the student should inform the graduate director and submit the  Admission to Doctoral Candidacy form  to the Graduate College.