math phd programs ranked

2025 Best Mathematics Doctor's Degree Schools

Featured mathematics programs, choosing a great mathematics school for your doctor's degree, a great overall school, early-career earnings, other factors we consider, one size does not fit all, best schools for doctorate students to study mathematics in the united states, 10 top schools for a doctorate in math, mathematics by region.

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Find Graduate Programs in the Mathematical Sciences offers comparative information on graduate programs in the mathematical sciences for prospective graduate students and their advisers. This web service provides only an overview of the programs offered; departments should be contacted directly for more detailed information. Currently 276 graduate programs are listed.

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Program type, masters programs (check all that apply), phd specialties (check all that apply), financial support available, gre required, online options available, skills training resources (check all that apply), number of phds awarded in the last year, enrollments, canadian province, list or edit your graduate program in the mathematical sciences.

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Find Graduate Programs Find the right graduate program in the mathematical sciences

Find Graduate Programs (FGP) in the Mathematical Sciences offers comparative information on over 500 graduate programs in the mathematical sciences in the US and Canada. This web service provides only an overview of the programs offered; departments should be contacted directly for more detailed information. Currently 739 graduate programs are listed.

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In the wake of the pandemic, many mathematical sciences departments have made at least short-term changes in their requirements regarding the GRE for individuals applying for admission to graduate programs. The Google doc USA/Canada Math PhD Programs: GRE requirements and Qualifying Exams , curated by Brown University graduate student Emily Winn, provides a list of those current requirements.

MIT Math #1 by QS World and U.S News

The Department of Mathematics ranked first in the math subject area of the QS World University Rankings for 2022 . ( MIT also earned No. 1 spots in 11 other subject areas .)

U.S. News also ranked our PhD program No. 1 for 2023 (tied with Princeton). The magazine last revisited its science PhD program rankings in 2019, when MIT Math held the No. 2 spot (tied with Harvard, Stanford, and Berkeley).

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Top 10 Best PhD in Mathematics Programs

A PhD in mathematics is an invaluable qualification in many sectors, but particularly academia. According to the Bureau of Labor Statistics, mathematicians and statisticians will see a 33% growth in jobs  from 2020 to 2030, especially with the growing need for data and cybersecurity  professionals.

Mathematics PhD programs equip you with the advanced skills and knowledge you need to progress to the highest levels of the field.

Table of Contents

Best PhD in Mathematics Programs

Stanford university, school of humanities & sciences.

Ph.D. in Mathematics

Stanford is a renowned Ivy League university known for its high-quality programs in several areas, including mathematics. Its faculty includes eminent figures in the field, and the school features a dedicated mathematics research center on campus. Students must pass two exams, one in algebra and the other in real analysis, by the second year to remain in the program. Progressing students are fully funded for five years.

• Courses : Multivariable calculus, linear algebra, and applied matrix theory.
• Duration : 5 years
• Delivery : On-campus
• Tuition : Refer tuition page
• Financial aid : Teaching/research assistantships and fellowships
• Acceptance rate: 5.2%
• Location : Stanford, California

Harvard University, Graduate School of Arts and Sciences

Harvard’s Department of Mathematics is one of the world’s most acclaimed centers for research and education in pure mathematics. You’ll need to complete four courses for each term of your PhD, though there are no compulsory courses. As one of the most impressive mathematics doctoral programs, this PhD emphasizes the love of the subject for its own sake, curiosity, creative ability, and the research process.

• Courses : Advanced real analysis, commutative algebra, and geometry & complexity theory.
• Credits : 16 half-courses
• Duration : 2-5 years
• Financial aid : Grants and fellowships
• Acceptance rate: 5%
• Location : Cambridge, Massachusetts

Brown University, Graduate School

Brown University is known for its flexible yet rigorous approach to education that gives students the intellectual freedom to apply creative thinking to their work. Its PhD in Math program encourages close student-faculty relationships and collaboration. This program doesn’t ask for GRE scores or foreign language courses for international students.

• Courses : Complex functions, topology, and algebraic geometry.
• Tuition : $7,835 per course
• Financial aid : Fellowships and teaching assistantships
• Acceptance rate:  7.7%
• Location : Providence, Rhode Island

The University of Pennsylvania, School of Arts & Sciences

UPenn is a world-renowned university that boasts the first medical school in the country. It has a very active mathematics department committed to serious research, and its faculty includes recognized figures from the mathematics community. In its doctorate in mathematics program, students can take courses from other departments in the university. Full-tuition scholarships for all five years of the program are available.

• Courses: Geometry-topology, mathematical physics, and combinatorics.
• Duration: 5 years
• Delivery: On-campus
• Tuition: Full funding
• Financial aid: Fellowships, teaching assistantships, and scholarships.
• Acceptance rate: 9%
• Location: Philadelphia, Pennsylvania

Rochester Institute of Technology, School of Mathematical Sciences

Ph.D. Mathematical Modeling

The School of Mathematical Sciences at RIT is world-renowned for mathematical and statistical research. It focuses on creative approaches to solving real-world problems using mathematical and statistical knowledge. Its doctorate degree in mathematics is the country’s first  mathematical modeling PhD  and offers five concentrations, including Biomedical mathematics, applied inverse problems, and dynamical systems & fluid dynamics.

• Courses : Numerical analysis, mathematical modeling, and high-performance computing for mathematical modeling.
• Credits : 60 minimum
• Duration : 7 years maximum
• Financial aid : Scholarships and graduate assistantships
• Acceptance rate : 73.9%
• Location : Rochester, New York

Princeton University, The Graduate School

Ph.D. Applied and Computational Math

Princeton University is one of the world’s most famous universities, scoring the top ranking in the US News & World Report’s Best Universities list for 2022 . Its PhD program in Applied and Computational Math is flexible with few central requirements: students can work with their advisers to build their own program.

• Courses : Differential equations, numerical algorithms, and applied dynamical systems.
• Credits : 12 hours/semester
• Duration : 4 years
• Tuition : $56,010 per year
• Financial aid : Fellowships, research/teaching assistantships, loans, grants, and federal work-study.
• Acceptance rate : 5.6%
• Location : Princeton, New Jersey

The University of Arizona, Department of Mathematics

Ph.D. in Applied Mathematics

The University of Arizona is well-known for its contributions to scientific research. Its PhD in Applied Mathematics is an interdisciplinary program that emphasizes mathematical modeling and computer simulation. The teaching staff is drawn from various disciplines, including engineering, computing, social, and biological sciences.

• Courses : Real analysis, algebra, and topology-geometry.
• Tuition : $13,400 per year
• Financial aid : Teaching assistantships, research assistantships, fellowships, and grants.
• Acceptance rate:  85%
• Location : Tucson, Arizona

Portland State University, Fariborz Maseeh Department of Mathematics &         Statistics

Ph.D. Mathematical Sciences

PSU’s innovative Mathematics Department has a joint research project  with Ohio University to make the theoretical science of math more relevant and practical. Its PhD program focuses on mathematics and statistics, with separate primary and secondary-level courses in both subjects.

• Courses : Mathematics, statistics, and mathematical/statistical literature problems.
• Credits : 81 minimum
• Tuition : $509 per credit
• Financial aid : Scholarships, fellowships, research assistantships, teaching assistantships, and veteran benefits.
• Acceptance rate : 95.2%
• Location : Portland, Oregon

Rice University, Wiess School of Natural Sciences

Ph.D. in Computational and Applied Mathematics

Rice University works closely with many prominent research, education, and science institutions in Houston, translating into exciting student opportunities. Its Computational and Applied Mathematics department only accepts 5-9 students into its PhD program, assuring a low student-faculty ratio. The program allows students to conduct high-impact research with the help of professors from diverse fields such as energy, mathematical biology, healthcare delivery, and sustainability.

• Courses : Advanced numerical analysis, computational science , and modeling mathematical physics.
• Duration : 4-6 years
• Tuition : $2,893 per credit
• Financial aid : Scholarships, fellowships, teaching assistantships, and loans.
• Acceptance rate : 10.9%
• Location : Houston, Texas

Florida Institute of Technology

Applied Mathematics, Ph.D.

Florida Institute of Technology is the only independent technological university in the Southeast. It is a private institution encouraging a hands-on approach to students’ learning. This PhD is one of the only 30 Applied Mathematics programs in the country and accommodates a wide range of specializations, including non-linear analysis, scientific computing, and optimization. The highly flexible program also allows students to choose their research areas.

• Courses : Partial differential equations, real analysis, and numerical methods for partial differential equations.
• Credits : 72 post-bachelor’s or 42 post-master’s
• Tuition : $1,241 per credit
• Financial aid: Scholarships, grants, awards, loans, graduate assistantships, and veteran benefits.
• Acceptance rate: 70.4%
• Location : Melbourne, Florida

What Do You Need to Get a PhD in Mathematics?

Exact entry requirements vary from program to program, but often you’ll need a master’s in a related field as a basic prerequisite. Some programs will accept graduates with a bachelor’s degree in mathematics or a related subject, though you’ll probably need to complete extra credit hours compared to students with a master’s.

You’ll need to submit an application, typically involving a research proposal and/or personal statement , academic resume , and letters of recommendation . You may need to present GRE  scores , but these aren’t required for every program.

Equally, the requirements to earn your doctorate will depend on the specific program, though there are several commonalities. Most PhD in mathematics programs include:

• Qualifying examinations and a final exam
• Teaching hours
• A research dissertation

If you want to prepare thoroughly for a math PhD program, it can be helpful to:

• Study qualifying exam subjects  such as real analysis and algebra
• Working with proof of math problems
• Participate in u ndergraduate research experience programs
• Build your network  and identify mentors

What to Consider When Choosing a Mathematics PhD Program

With so many strong math PhD programs on offer, it can be hard to know which is the right program for you.

While this is a very individual decision, here are some key factors to consider:

• Courses, specializations, and concentrations
• Funding options
• School and faculty reputation
• Mode of delivery: online, on-campus, or hybrid

Why Get a Doctorate in Mathematics?

Today’s world desperately needs data in every field to improve and grow. So, mathematics is now highly relevant across many fields. The Bureau of Labor Statistics estimates impressive job growth of 33%  for mathematicians and statisticians from 2020 to 2030.

A PhD in mathematics equips you with a range of skills, including critical and analytical evaluation, logical reasoning, mathematical solutions for real-life issues, verbal and written communication skills, and dedication.

According to the American Mathematical Society , the number of math PhD graduates has been increasing steadily over the last two decades, and is currently around 2,000 a year. In total, there have been more than 30,000 PhD graduates in mathematics over the last two decades.

Common Jobs for Doctor of Mathematics Grads

With a doctorate in mathematics, you may work in various roles, including:

• Assistant Professor ( $61,252  average annual salary)
• Professor ( $88,951 )
• Data Scientist ( $97,358 )
• Mathematician ( $70,920 )
• Postdoctoral Research Associate ( $51,968 )

Key Takeaways

The best PhD mathematics programs are offered by renowned universities across the country, including the most prestigious schools. While some are expensive, various funding options and even fully-funded Mathematics doctorate programs offer some relief.

If you have a real taste for the subject, a PhD in mathematics can take your career to unimaginable heights. It will also let you build high-level skills and in-depth knowledge that could make you a leader in your field.

If you’ve found this guide useful, take a look at our posts on the best online Master’s in Mathematics programs , the top online PhD programs , and the highest-paying PhDs .

PhD in Mathematics FAQs

How long is a phd in mathematics.

A PhD in Mathematics may take 3-7 years to complete, depending on program requirements. If you have a master’s degree , the program will likely be shorter in duration.

How Much Does a Math PhD Cost?

A math PhD costs anywhere from $13,000 to $45,000 per year, including tuition and other fees, based on various factors. You can also find fully funded PhD programs in Math, including from some of the most prestigious schools in the country.

Are Math PhDs in Demand?

A PhD in math is a qualification that has always had a demand in the academic world. With the increasing importance of mathematical principles and concepts in emerging technologies and disciplines, we’re also seeing a range of opportunities for mathematicians in other fields.

Is a PhD in Mathematics Difficult?

Mathematics is an abstract and mostly theoretical subject. Therefore, it’s best to have a certain degree of flair, or at least interest in the subject, otherwise, you may struggle. However, anyone can excel in a math PhD program with a little dedication and hard work.

What Do I Need to be Eligible for a PhD in Mathematics?

At a minimum, you’ll need a bachelor’s in math or another STEM field. However, some programs require a master’s or at least an honors undergraduate qualification.

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Mathematics Graduate Program

Thinking of applying to graduate school in mathematics.

Penn was ranked 8th among all US universities in a leading national study , and our mathematics graduate program was recently highest in a study of graduate programs in arts and sciences at Penn. We have a very active and involved mathematics faculty , diverse course offerings and a broad seminar schedule , with a variety of research projects and strengths in algebra, analysis, geometry-topology, combinatorics, logic, probability, and mathematical physics. We have a supportive atmosphere, with personal attention from the faculty and extensive interaction among graduate students. Our grad students can take courses not only in the Mathematics Department but also elsewhere at Penn, and the wide resources of the university are available. Our former graduate students have gone on to mathematical careers both in academia and in industry.

Our full-time Ph.D. students receive a generous and competitive support package including

• five years of funding with a combination of  fellowships and teaching assistantships;
• a stipend and a full tuition scholarship;
• no teaching responsibilities for at least two years (generally including the first and fourth year);
• health insurance coverage provided at no cost to the student.

We invite you to learn about our graduate program, our math department, our university and living in Philadelphia, a cosmopolitan city and a true mathematical hub, with easy access to nearby mathematics departments and research institutes.

We are looking for interested, mathematically talented and dedicated students to be a part of our group of excellent future mathematicians. Consider applying to Penn for your graduate education. Questions?

US News and World Report’s 2023 “Best Graduate Schools” UNC Mathematics ranking

In U.S. News & World Report’s 2023 “Best Graduate Schools” list, 16 of Carolina’s programs increased their rankings. The Department of Mathematics is currently ranked 30th in the “Best Mathematics Graduate Programs” , and our Applied Math Program holds the 12th spot among the “Best Applied Math Programs” . Exciting times ahead!

Department of Mathematics

Mathematics phd program.

The Ph.D. program in the Department of Mathematics provides students with in-depth knowledge and rigorous training in all the subject areas of mathematics. A core feature is the first-year program, which helps bring students to the forefront of modern mathematics. Students work closely with faculty and each other and participate fully in both research and student-run seminars.

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QS World University Rankings by Subject 2022: Mathematics

Discover where to study with the QS World University Rankings by Subject 2022.

The QS World University Rankings by Subject are based upon academic reputation, employer reputation and research impact. You can learn more by reading our methodology . 

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Interested in more than one study area? The QS World University Rankings by Subject 2022 cover 51 different subjects, see the full list .

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Applied and Computational Mathematics Master's Program Online

An online master's degree in applied and computational mathematics from Johns Hopkins University complements your knowledge with principles that can be applied to almost every discipline of science, engineering, industry, and technology—from defense technology and business to public policy and biomedicine.

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Applied and Computational Math Program Overview

Johns Hopkins Engineering for Professionals online applied and computational mathematics master’s is one of the premier graduate degree options in our top-ranked online engineering master’s program and a leading computational mathematics master’s program in the industry. The advanced-level curriculum teaches students the key steps to incorporate design and mathematical algorithms into modern technologies.

Choose from highly relevant courses like Statistical Methods and Data Analysis, Real Analysis, and Matrix Theory to support your subject-matter interests. Whether you work to develop prototypes in manufacturing or create models to predict long-term climate change, the coursework emphasizes applied and theoretical aspects of the field, so you can:

• Gain high demand skills to advance in industries that rely on mathematical modeling and computational science
• Solve probability problems, including finding properties of distribution functions
• Apply statistical software confidently
• Interpret and solve simple regression models
• Understand the distinction between axioms, definitions, and theorems
• Learn on your terms and select a flexible course schedule in a format that works best for you

Master’s Degree Focus Areas

A focus area can be selected but is not required for the computational mathematics master’s . 

• Applied Analysis : Bring together mathematical topics such as differential equations, dynamical systems, approximation theory, number theory, topology, and Fourier analysis.
• Information Technology and Computation : Apply a range of tools—such as neural networks, cryptography, and data mining—to solve business and organizational problems.  
• Operations Research : Employ techniques such as optimization and game theory across the employment spectrum in industries such as education, transportation, and public services. 
• Probability and Statistics : Measure randomness and how to collect, analyze, and interpret numerical data in such a way as to obtain useful information.           
• Simulation and Modeling : Learn to approximate a process or system over time with commonly used analytical tools like Monte Carlo Methods, Markov Chains, and queuing theory.

FOCUS AREA REQUIREMENTS

We offer three Applied and Computational Mathematics degree options; you can earn a Master of Science in Applied and Computational Mathematics, a Post-Master’s Certificate, or a Graduate Certificate.

Applied and Computational Mathematics Courses

Get details about course requirements, prerequisites, focus areas, and electives offered within the program. All courses are taught by subject-matter experts who are executing the technologies and techniques they teach. Selected undergraduate-level courses are also offered to provide mathematical background for the program. These 100- and 200-level courses are not for graduate credit. Some students may find one or more of these courses useful as a refresher or to fill gaps in their prior education.

Student Thesis and Research Papers/Projects

Learn about the requirements for completing research or a thesis in Applied and Computational Mathematics.

Self-assessment Math Placement Exams

Assessment examinations are available for Precalculus, Calculus 1, Calculus 2, and Calculus 3/Multivariable Calculus. Each assessment exam is an advisory tool to help you and your academic advisor gauge your preparedness for mathematics at a proper level here at EP. The exam is not a means to “pass out” of a particular course, and a waiver will not be granted solely based on an exam score.

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Did you know that 78 percent of our enrolled students’ tuition is covered by employer contribution programs? Find out more about the cost of tuition for prerequisite and program courses and the Dean’s Fellowship.

Why Hopkins?

Build on your applied and computational mathematics degree by engaging with all the rest Johns Hopkins has to offer.

Expert Faculty - Study with faculty who are practicing scientists and notable professionals with corporations and government entities, including the Johns Hopkins Applied Physics Lab, NASA, Raytheon, and the U.S. Department of Defense. Exceptional one-on-one mentoring sets you on a course to be a confident, knowledgeable leader. Learn More

Beyond Rankings: We Help You Fulfill Your Vision - We are proud to be ranked among the top online graduate engineering schools by U.S. News & World Report . But we’re about more than just numbers and rankings—we’re focused on making sure you flourish as a learner and engineer. Learn More

Network and Connect - Your knowledge is stronger with a network. In the applied and computational mathematics program, you will make career-advancing connections with accomplished scientists and engineers who represent a variety of disciplines across many industries. Learn More

“ I enjoyed the flexibility of attending part-time, the personableness of the instructors in the program, and the content of the courses. ”

Applied and Computational Mathematics FAQs

I don't have an engineering background, can i still apply to this program.

Yes. If we are otherwise willing to accept the student, we will determine which prerequisites are still needed as part of the review process. You will then be admitted provisionally until those courses have been successfully completed.

What is the difference between computational mathematics vs computer science?

Generally speaking, computation mathematics refers to the mathematics that fuels a computer’s ability to solve complex equations, while computer science refers to the science that goes into building and innovating the computer itself. A computer science master’s program will focus more on the building and operations of computers while a computational mathematics master’s program leans more into the mathematics that computers use.

What can I do with an applied and computational mathematics degree?

Applied and computational mathematics jobs can range from genetic and healthcare research to software engineering and machine learning and over into statistics or actuarial science. You can also pursue careers in industries like medical research, international banking, and software development—just to name a few.

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Visiting the steppe - Volgograd Forum

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I plan to visit Volgograd end of September and would like to see the steppes and possibly stay in villages or towns in the countryside/Steppe. Has anyone already experienced this ? Thanks ! -simon.

I would recomend you to visit Kalmykia. It's just 160 miles south from Volgograd. That's where you going to see steppe and "little piece of Asia in Europe".

yes, its amazing. Volgagrad has a moving monument high above the river.

we stayed in Elista in Chess city; visited the Breeding Centre for wild animals, where Yuri helps save the endangered saiga and is the centre of the rotating cow scheme. We saw saiga, feather grass, steppe eagles to name a few. we did a circular trip. Volograd, Elista, Astrakhan taking in wildlife reserves .

This topic has been closed to new posts due to inactivity.

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Volgograd Hotels and Places to Stay

• GreenLeaders

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• Type: City with 1,030,000 residents
• Description: city and administrative centre of Volgograd Oblast in southern Russia

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Volgograd railway station.

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Krasnoslobodsk, vtoraya pyatiletka.

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• Location: Volgograd Oblast , Volga Region , Russia , Eastern Europe , Europe
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Top Universities in Volgograd Oblast

2024 volgograd oblast university ranking new, introduction.

What are the top Universities in Volgograd Oblast? uniRank answers this question by publishing the 2024 uniRank University Ranking of 5 Volgograd Oblast higher-education institutions meeting the following uniRank selection criteria:

• being chartered, licensed or accredited by the appropriate Russian higher education-related organization
• offering at least three-year bachelor's degrees or postgraduate master's or doctoral degrees
• delivering courses predominantly in a traditional, non-distance education format

uniRank aims to provide a non-academic League Table of the top Volgograd Oblast Universities based on valid, unbiased and non-influenceable web metrics provided by independent web intelligence sources rather than data submitted by the Universities themselves.

2024 Volgograd Oblast University Ranking

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