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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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Best Doctorates in Mathematics: Top PhD Programs, Career Paths, and Salaries

Given that only a small proportion of the general population holds a PhD in Mathematics, there aren’t many people pursuing doctoral studies in the math field. It requires a high level of intelligence and mathematical ability which a typical person doesn’t possess. It also requires a decent work ethic and the ability to commit five to seven years to research and study.

However, PhD in Mathematics salaries are high. If you’re interested in pursuing a PhD in Mathematics, check out our article to find the best mathematics PhDs and what mathematics jobs you can get. First, let’s find out what a PhD in Mathematics is.

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What is a phd in mathematics.

A PhD in Mathematics is a doctoral degree obtained by a graduate student in mathematics. This kind of mathematics graduate program allows students to develop their research capabilities in mathematics and its potential applications.

PhD in Mathematics can be a Doctor of Philosophy, Doctor of Science, or Doctor of Applied Mathematics degree. Students need to submit their PhD thesis in order to complete the math degree program they are pursuing. Math doctorate programs can take between three and six years to complete, depending on how much time is dedicated to the thesis and its required research.

How to Get Into a Mathematics PhD Program: Admission Requirements

The requirements to get into a mathematics PhD program typically include application fees, school transcripts, a professional resume, three letters of recommendation, and a statement of academic purpose. The admission process for most mathematical PhD programs is similar.

Some schools also require that students have mastered the material roughly equivalent to the undergraduate mathematics major, such as several semesters of calculus and experience with differential equations. Other doctoral math programs require applicants to submit essays or a minimum GPA score as entrance requirements.

PhD in Mathematics Admission Requirements

Professional CV or resume
Statement of academic purpose
Application fee
At least three recommendation letters
Undergraduate and graduate school transcripts

Mathematics PhD Acceptance Rates: How Hard Is It to Get Into a PhD Program in Mathematics?

It is extremely hard to get into a PhD program in Mathematics. For example, the Harvard PhD acceptance rate is 4.59 percent and the University of Wisconsin has a zero percent PhD acceptance rate over a five-year median. Doctoral studies in mathematics are rigorous and have a low acceptance rate, making it difficult to get into and obtain a Doctorate in Mathematics.

How to Get Into the Best Universities

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Best PhDs in Mathematics: In Brief

Best universities for mathematics phds: where to get a phd in mathematics.

The best universities for mathematics PhDs are Harvard University, Massachusetts Institute of Technology, Princeton University, Stanford University, University of California, Berkeley, and Yale University.

Other universities also have excellent PhD in Mathematics programs that we haven’t mentioned in our list, like Johns Hopkins University, Colorado State University, University of California, Los Angeles, and University of Chicago.

Columbia University is a private Ivy League research university founded in 1754 as King's College. It is among the top five national universities and is known as the oldest institution of higher education in New York. At Columbia University, students can find doctoral studies in biological sciences, astronomy, chemistry, economics, music, psychology, and religion.

Mathematics PhD

The PhD mathematics program is designed for full-time students interested in research and teaching at the university level. It is an intense course also meant for students that seek careers in quantitative research and development in business or government. It covers subjects like analysis and probability, Riemann surfaces, cumulative algebra, and modern geometry.

Mathematics PhD Overview

Program Length: 4 years
Acceptance Rate: 6%
Tuition and Fees: $25,248/semester
PhD Funding Opportunities: Department of Defense Funding, NIH Fellowship Parent Funding

Mathematics PhD Admission Requirements

A completed online application form at the Online Application System
$120 application fee
Statement of purpose
A video essay (to be completed in the Online Application System)
A current resume or CV
Official transcripts from each university you attended
Two letters of reference

Harvard University was established in 1636 by the Puritan clergyman John Harvard. It is known as the oldest institution of higher learning in the US and as one of the most prestigious universities in the world. It offers many PhD programs in subjects such as anthropology, statistics, virology, physics, neuroscience, mathematics, immunology, and history of science.

This doctoral program is intended for students who aspire to be research mathematicians and have demonstrated a strong interest in this field. The math graduate courses cover topics like commutative algebra, advanced real analysis, differential geometry evolution dynamics, Riemann surfaces, and Hodge theory.

Program Length: 4-5 years
Acceptance Rate: 7%
Tuition and Fees: $50,928/first two years of study; $13,240/second two years of study
PhD Funding Opportunities: Hertz Foundation, National Defense Science and Engineering Graduate Fellowship Program, National Physical Science Consortium for Minorities and Women, National Science Foundation
Application
$105 application fee
Transcripts
Letters of recommendation
Demonstration of English proficiency (for non-native speakers)

Massachusetts Institute of Technology (MIT) is a land-grant research university in Cambridge. Founded in 1861, MIT is best known for its programs in physical science and engineering. It offers a wide array of doctoral studies in aeronautics and astronautics, physics, political science, economics, chemical engineering, biology, brain, and cognitive sciences.

Doctor of Philosophy or Doctor of Science Mathematics Degree

In addition to choosing between a Doctor of Philosophy and a Doctor of Science program, students can choose to apply to the Pure or Applied Mathematics programs. Geometry, number theory, algebra, logic, statistics, topology, astrophysics, combinatorics, analysis, probability, numerical analysis, and theoretical physics, are covered in the Pure and Applied Mathematics curricula.

Doctor of Philosophy or Doctor of Science Mathematics Degree Overview

Acceptance Rate: N/A
Tuition and Fees: $27,755/term
PhD Funding Opportunities: Postdoctoral and Senior Research Awards, Faculty Early Career Development Program, Mathematical Sciences Postdoctoral Research Fellowships (MSPRF)

Doctor of Philosophy or Doctor of Science Mathematics Degree Admission Requirements

Fill out the online application
Transcripts including grades in math/science/engineering courses
At least three names and email addresses of recommendation letter writers
Educational and work history
Statement of objectives
Outside financial support and potential outside support
Credit/debit card payment of the $75 application fee
Self-reported grades
Arrange for submission of official transcripts and letters of recommendation

Princeton University is a private Ivy League research university that was founded in 1746. It is known as the fourth-oldest institution of higher education in the US. Princeton University has many PhD programs in subjects like philosophy, mechanical and aerospace engineering, electrical and computer engineering, and neuroscience.

Applied and Computational Math PhD

In this program, students gain a thorough understanding of areas of mathematics critical to scientific and engineering applications, such as numerical analysis and other computational approaches. In the first year, students choose three topics from six applied mathematics categories. At the end of the first year, students need to take a preliminary exam.

Before the third year, students need to pass the general examination which culminates in a seminar on a research topic. The final requirement for this program is the doctoral dissertation which can be a mathematical contribution to one field of science or engineering.

Applied and Computational Math PhD Overview

Tuition and Fees : $58,790/year
PhD Funding Opportunities: University, departmental, and program fellowships, research and teaching assistantships, external financial support

Applied and Computational Math PhD Admission Requirements

$75 application fee
Recommendation letters
Fall semester grades (for students currently enrolled in master’s degree programs)
English language tests (for international students)

Established in 1829, Rochester Institute of Technology is known for its excellent technology, engineering, and computing programs. It offers PhDs in Astrophysical Sciences and Technology, Biomedical and Chemical Engineering, Color Science, Imaging Science Sustainability, and many more disciplines.

Mathematical Modeling PhD

Students in this program plan their own trajectory based on required coursework, research, and their selected concentration. They can select from concentrations in the areas of applied inverse problems, biomedical, and discrete mathematics, among others. Some of the program’s courses cover subjects like numerical analysis and computing for mathematical modeling.

Mathematical Modeling PhD Overview

Acceptance Rate: 74%
Tuition: $54,176/year
PhD Funding Opportunities: Federal loans, Outside Scholarships, Yellow Ribbon Program, employment through co-ops, internships, or assistantships

Mathematical Modeling PhD Admission Requirements

Online graduate application
Copies of official transcripts of all previously completed undergraduate and graduate courses
Bachelor’s degree from an accredited university or college
Current resume/CV
Two letters of recommendation
Personal statement of educational objectives
TOEFL, IELTS, or PTE score (international students)
$65 application fee

Stanford University is well-known for its enterprising student population and high return on investment. Founded in 1885 by California senator Leland Stanford, Stanford University is consistently ranking in the top 10 national universities. Stanford offers many PhD programs in its Graduate School of Engineering, including programs in engineering, medicine, and education.

Mathematics PhD Program

Students in this PhD program take courses in algebraic topology, differential topology, differential geometry, algebraic geometry, theory of probability, real analysis, modern algebra, and mathematical methods of imaging. In the first year, the coursework prepares the students for the qualifying examinations which test them on their skills in algebra and real-world analysis.

Students must have a dissertation advisor and seek candidacy in their second year. Students will take their Area Examination during their third year, which must be completed by the conclusion of the Winter Quarter. In the fourth and fifth years, students are expected to finish their dissertation research.

Mathematics PhD Program Overview

Acceptance Rate: 5.7%
Tuition and Fees: $56,487
PhD Funding Opportunities: Federal programs, university fellowships, research assistantships, teaching assistantships

Mathematics PhD Program Admission Requirements

Bachelor’s degree from a regionally accredited US college or university
Unofficial transcripts/academic records
Names and contact information of those who can provide between three and six letters of recommendation
Online application
$125 application fee or fee waiver

University of California, Berkeley was founded in 1868. UC Berkeley is known for strict academic criteria for its undergraduate programs. The school has more than 130 academic departments and 80 multidisciplinary research areas. UC Berkeley is among the top universities in the world.

PhD Program in Applied Mathematics

The applied mathematics program requires doctoral students with previous graduate study in mathematics must demonstrate exceptional mathematical research skills. Students in this course can learn about linear algebra and differential equations, multivariable calculus, and discrete mathematics. There are also major electives like mathematical biology and statistics.

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PhD Program in Applied Mathematics Overview

Program Length: 5-6 years
Acceptance Rate: 18%
Tuition and Fees: $10,248.75/semester (resident); $17,799.75/semester (non-resident)
PhD Funding Opportunities : Berkeley Fellowships, Chancellor’s Fellowships, Cota-Robles Fellowships, Mentored Research Awards, UC Dissertation-Year Fellowships, Conference Travel Grants, Parent and Caregiver Grants

PhD Program in Applied Mathematics Admission Requirements

A bachelor’s degree or equivalent from an accredited institution
A minimum GPA of 3.0
Enough experience in your undergraduate program to complete the program
At least three letters of recommendation
$120 application fee (California residents); $140 application fee (all other applicants)

The University of Michigan - Ann Arbor is among the top 30 national universities. It was founded in 1817 in Ann Arbor. Some of the most popular majors from this university are business administration, experimental psychology, and economics. It also has good PhD level programs in education, electrical and computer engineering, and computer and information science.

Applied & Interdisciplinary Mathematics PhD

This PhD degree's purpose is to create graduates who are well-prepared to pursue successful careers in the mathematical sciences, whether in government or academia. Students in the applied and interdisciplinary mathematics course can learn about risk management and modeling of financial losses, mathematical theory of probability, and modern mathematics.

Applied & Interdisciplinary Mathematics PhD Overview

Program Length: 5-6 years
Acceptance Rate: 26%
Tuition and Fees: $25,230.38 (in state); $50,646.38 (out of state)
PhD Funding Opportunities: Graduate Student Instructorship (GSI): Mathematics Graduate Student Instructor Teacher Training Program, and Graduate Student Research Assistantship (GSRA)

Applied & Interdisciplinary Mathematics PhD Admission Requirements

Three letters of recommendation
Personal Statement (500-word limit)
TOEFL or IELTS Exam (non-native English speakers)
Three semesters of calculus
One or two semesters of differential equation courses
One semester course in modern algebra, linear algebra, geometry or topology
Advanced calculus of one and several variables
$75 application fee (US citizens); $90 application fee (international applicants)

Nelson Dewey, the first governor of Wisconsin, founded the University of Wisconsin in 1848. It has one of the best engineering and business majors. It also has several good graduate degrees from its Department of Mathematics like Doctor of Philosophy, Master of Arts – Foundations of Advanced Studies, and Master of Arts – Foundations for Research.

Mathematics, PhD

The University of Wisconsin’s Doctor of Philosophy program offers a foundation in fundamental and advanced graduate mathematics. Students in this PhD program can learn about linear algebra, abstract algebra, differential equations, knot theory, and real analysis.

Mathematics, PhD Overview

Program Length: 5 years
Acceptance Rate: 16%
Tuition and Fees: $12,176/year (in state); $25,504/year (out of state)
PhD Funding Opportunities: Graduate assistantships, fellowships, traineeships, student loans, student jobs, research and travel grants

Mathematics, PhD Admission Requirements

Application to the UW–Madison Graduate School
Master’s degree in mathematics or a related field
Official transcripts
Supplementary information form
Three academic letters of recommendation and one additional letter
Proof of English proficiency (for non-native speakers)
One-page statement of purpose

Yale University was founded in 1701 in New Haven, Connecticut. It is among the top 10 national universities and is known for its Ivy League reputation . Yale has many PhD programs like anthropology, applied physics, architecture, biomedical engineering, chemical, and environmental engineering.

PhD in Applied Mathematics

The applied mathematics program entails the study and application of mathematics to issues prompted by a diverse set of application fields. Students study and apply mathematics concepts to questions driven by a variety of applicable fields.

It covers topics such as discrete algorithms, linear and nonlinear partial differential equations, statistical theory and applications, information theory, econometrics, and classical and modern applied harmonic analysis. This program also covers topics like financial statistics, financial mathematics, econometrics probability theory, and information theory.

PhD in Applied Mathematics Overview

Acceptance Rate: 6.2%
Tuition and Fees: $45,700/year
PhD Funding Opportunities: Financial aid, university fellowships, dissertation fellowships, teaching fellowships

PhD in Applied Mathematics Admission Requirements

A list of all the prior colleges or universities you’ve attended
Unofficial transcripts from each school
TOEFL scores (non-native English-speaking applicants)

Can You Get a PhD in Mathematics Online?

Yes, you can get a PhD in Mathematics online. However, there aren’t many online PhD math programs out there because of two reasons. The first reason is that there isn’t a big demand for PhDs in Mathematics, so online universities are not inclined to find ways to make those programs more accessible.

The second reason is that in traditional doctoral studies graduate students in mathematics are used as research and teaching assistants. Usually, math doctoral studies take place within a community in which PhD students are apprentices learning alongside instructors and one another.

Best Online PhD Programs in Mathematics

How long does it take to get a phd in mathematics.

It takes about five years to get a PhD in Mathematics. Depending on the academic institution and the specifications of the program, it can take between three and six years. Some students prefer to have a master’s degree before entering a doctoral program in mathematics, but most programs do not require students to have more than a bachelor’s degree .

Some doctoral mathematics academic programs offer two degrees called dual degree programs. You can begin pursuing a Master’s Degree in Mathematics and begin earning credits for a PhD at the same time.

Is a PhD in Mathematics Hard?

Yes, a PhD in Mathematics is hard. Doctoral studies that require advanced knowledge of mathematics would be extremely difficult for most people. Whether you choose to pursue a PhD in Applied Mathematics or Pure Mathematics, you will encounter complex theoretical concepts.

How Much Does It Cost to Get a PhD in Mathematics?

On average, it costs $12,171 per year to get a PhD in Mathematics . This data is based on the National Center for Educational Statistics’s (NCES) report for the average costs of postgraduate studies at public institutions from 2018 to 2019. According to this data, it would cost a total of $48,684 for four years of studies. The cost to get a PhD in Mathematics has likely risen since 2019.

How to Pay for a PhD in Mathematics: PhD Funding Options

The PhD funding options that students can use to pay for a PhD in Mathematics include research fellowships, teaching assistantships, and tuition waivers. In the previous section, we mentioned the cost of doctoral degrees , but this number is with a deduction in the tuition.

These funding options enable students to lower the cost of tuition. For example, domestic students receive lower tuitions. Without funding options or deductions, a PhD can cost from $20,000 to $30,000 per year.

Best Online Master’s Degrees

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What Is the Difference Between a Mathematics Master’s Degree and PhD?

The difference between a Master’s Degree in Mathematics and a PhD is the career opportunities they provide graduates. People who pursue a PhD in Mathematics usually seek jobs in research and academia, while people who pursue master’s degrees are more interested in advancing their professional careers.

A PhD in Math is more research-intensive and focused on historical and current perspectives within the mathematics field. Master’s degrees are a bit broader. Master’s degrees can take up to three years to complete, while PhD can take up to six years. Math PhD students also teach and engage in departmental activities, while master’s students do not.

Master’s vs PhD in Mathematics Job Outlook

It is usually required for postsecondary teachers to have PhDs. According to the Bureau of Labor Statistics (BLS), these professionals have a job outlook of 12 percent , four percent higher than the average for all occupations.

Mathematics and statisticians are usually required to hold a master’s degree and they have a job outlook of 33 percent , nearly three times the average for all occupations. According to these numbers, the job outlook for Master’s Degrees in Mathematics is higher than for PhDs in Mathematics. However, these are just two examples of careers available to master’s and PhD holders.

Difference in Salary for Mathematics Master’s vs PhD

According to PayScale, mathematicians with a master’s degree earn $85,000 per year, and mathematicians with a PhD degree earn $110,000 a year. This is a difference of $25,000 per year for mathematics master’s vs PhD holders.

Related Mathematics Degrees

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Why You Should Get a PhD in Mathematics

You should get a PhD in Mathematics because it expands your academic career opportunities and salary options. With a PhD in Math, you can work for private businesses or government agencies. Many PhD grads work in engineering, medicine, and software development, where they apply the advanced mathematical knowledge they acquired from their doctoral programs.

Reasons for Getting a PhD in Mathematics

Specialized skills. A PhD in Mathematics equips you with highly valuable and marketable skills. Aside from subject-specific abilities, you can obtain several transferable skills that will be beneficial in practically any industry, such as exceptional numeracy, logical ability, holistic deduction, and reasoning skills.
Higher salary. A PhD is a terminal graduate degree, meaning it is the highest level of academic certification you can achieve in this field. So with a PhD you will gain the highest skills and knowledge in mathematics. High-level skills and knowledge often translate to a high salary.
Career opportunities. One of the best advantages math PhDs have is the option of following a variety of employment pathways. To some extent, all sciences are built on basic mathematical principles, so there are many career opportunities with a PhD in Mathematics. With this kind of degree, you can work in finance, academia, or IT.
Research opportunities. Doctoral Degrees in Mathematics cover theoretical mathematics which is one of the best areas for research and research methodology. During your doctoral studies in math, you will study and research with some of the smartest people in the world.

Getting a PhD in Mathematics: Mathematics PhD Coursework

a female PhD Student solving a mathematical test

Getting a PhD in Mathematics is not an easy task. Students need to learn different math courses, some of which require advanced knowledge of mathematics. There is some standard mathematics PhD coursework, like classes in mathematical analysis or mathematical logic. Find out more details on common mathematics PhD courses below.

Mathematical Analysis

These kinds of courses explain the principles of mathematical analysis, including differentiability, continuity, sequence and series convergence, the Riemann integral, function sequences, and series. Students can also learn real applications of real-world analysis, including the estimation of indeterminate integrals, Laurent series, WKB theory, Cauchy theorem, and residual theorem.

Differential Topology

Courses in differential topology are a part of the theory of differential forms and De Rham’s theory. Somer differential topology courses teach about multilinear algebra, Stokes’ theorem, and an introduction to cohomology. But, in most cases, these courses teach about winding numbers, vector fields, index, smooth maps, transversality, and differential manifolds.

Discrete Mathematics

Courses in discrete mathematics usually cover finite geometry, finite groups, finite topology, finite fields, fundamental algebraic topology, combinatorics, and graph theory. Students can learn about the symmetry group of the regular icosahedron because it is a reoccurring subject throughout the course.

Theory of Probability

Theory of probability courses introduce students to discrete and continuous random variables, independent random variables, conditional probability, distribution functions, Poisson distributions, Bayes theorem, and joint distribution. Students in this course will learn how to use math principles in the analysis of random phenomena.

Algebraic Geometry

In most cases, algebraic geometry courses teach students about complex algebraic varieties, cohomology, affine, and projective algebraic geometry. They also cover the fundamental concepts of complex analytic varieties, Bezout’s theorem, algebraic curves, and surfaces, the language of schemes, and properties of morphisms.

Best Master’s Degrees

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How to Get a PhD in Mathematics: Doctoral Program Requirements

Some of the most common doctoral program requirements to get a PhD in Mathematics are coursework, qualifying exams, research, classroom teaching, and thesis defense. Some doctoral program requirements may vary, but there are a few common steps for most math programs. Keep reading to find out more.

PhD students must finish eight or nine-term courses at the graduate level, in most cases maintaining at least a C average grade. The time for completion of a PhD math coursework is four to five years.

The residency requirement can vary from university to university. For most math PhD candidates, the usual residency requirement is around three years. The whole point of residency is to continue the education and training of students in a specialized field of mathematics.

A committee of three faculty members administers the Qualifying Examination, which is an oral test. Each student selects three qualifying test subjects and discusses them with appropriate examiners. Subjects must be in separate, reasonably broad mathematical fields.

Typically, the primary topic is decided in cooperation with the potential thesis advisor. After completing the qualifying test, students must choose a thesis advisor, who is usually the primary topic examiner.

In academic positions, teaching is important, especially in mathematical doctoral studies. Many people in math PhD programs aspire to academic positions, so teaching is one of the best ways to learn about the mathematics academic profession. It is an excellent way to learn public presentation skills by completing at least one semester of classroom teaching.

Writing and defending a thesis for a PhD in Mathematics is the culmination of this graduate program. Usually, a thesis is anticipated to contain original research of a high enough quality to be published in a high-level research journal. The defense is usually held in the classroom of the Institute and is presented to the Thesis Examination Committee.

Potential Careers With a Mathematics Degree

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PhD in Mathematics Salary and Job Outlook

People with a PhD in Mathematics earn above the average annual salaries and have careers with above the average job growth. For example, actuaries have a 24 percent job growth till 2030. According to the Bureau of Labor Statistics, the average job growth rate for all occupations is 7.7 percent .

Earning a mathematics PhD is difficult but you will graduate with a wide range of job opportunities. People with a PhD in Math earn between $82,360 to $108,660 per year. Overall, people with PhDs in Mathematics have a good salary and job outlook.

What Can You Do With a PhD in Mathematics?

With a PhD in Mathematics, you can work in education or IT and for private, corporate, or government corporations. You can work as a postdoctoral research associate, a math professor in postsecondary or higher education, a director of analytics, a research scientist, a principal software engineer, or an asset manager.

Best Jobs with a PhD in Mathematics

Data Scientist
Mathematicians and Statistician
Operations Research Analyst

What Is the Average Salary for a PhD in Mathematics?

The average salary for a PhD in Mathematics is $110,000 , according to PayScale. The salary range for doctorate-level degree mathematics jobs ranges from $48,690 to $167,040 per year. Lower-earning operations research analysts make an average of $48,690 , while top-earning data scientists earn $167,040 annually, according to the Bureau of Labor Statistics.

Highest-Paying Mathematics Jobs for PhD Grads

Best mathematics jobs with a doctorate.

There are many jobs you can find with a math PhD. The skills you will gain are applicable to almost any field. Find out more about the best PhD in Mathematics jobs below.

Data scientists are specialists who know how to extract and interpret data. They know how to use models and algorithms to analyze massive data repositories. They use various strategies to determine the optimal methods for developing a data model for a business. Data scientist is one of the most in-demand and highest-paid jobs in 2022.

Salary with a Mathematics PhD: $108,660
Job Outlook: 22% job growth from 2020 to 2030
Number of Jobs: 105,980
Highest-Paying States: Washington, California, Delaware, New York, New Jersey

Actuaries are more concerned with the financial implications of risk and uncertainty. Actuaries are financial analysts who analyze past and present financial data and forecast future risks. They assess risk using financial theory, statistics, and math and develop plans that reduce the cost of risk.

Salary with a Mathematics PhD: $105,900
Job Outlook: 24% job growth from 2020 to 2030
Number of Jobs: 27,700
Highest-Paying States: Georgia, New Hampshire, New York, Connecticut, Vermont

Some of the main responsibilities economists have are to predict the customer demand for the firm's products and the firm's product sales. They deal extensively with microeconomic issues while researching trends, collecting, evaluating, and analyzing data. Economists also investigate how to efficiently allocate resources like raw materials, labor, land, or machines.

Salary with a Mathematics PhD: $105,630
Job Outlook: 13% job growth from 2020 to 2030
Number of Jobs: 18,600
Highest-Paying States: New York, District of Columbia California, New Hampshire, Illinois

In most cases mathematicians and statisticians work in academia and government. Usually, both of the positions require the use of analyzing data or applying statistical and mathematical techniques that help solve problems.

Statisticians are increasingly involved in statistics and research methodology. Mathematicians are more involved in researching mathematical models or abstractly measuring values and creating results. Mathematics and statistics are the best duos that understand the principles of probability.

Salary with a Mathematics PhD: $96,280
Job Outlook: 33% job growth from 2020 to 2030
Number of Jobs: 44,800
Highest-Paying States: District of Columbia, New York, New Jersey, Virginia, Maryland

Operations research analysts utilize mathematics and logic to assist businesses in making informed decisions and solving complex problems. They are high-level problem solvers that use sophisticated approaches such as mathematical modeling and statistical analysis to help companies operate more economically.

Salary with a Mathematics PhD: $82,360
Job Outlook: 25% job growth from 2020 to 2030
Number of Jobs: 104,100
Highest-Paying States: Virginia, Alabama, Maryland, Hawaii, New York

Is a PhD in Mathematics Worth It?

Yes, a PhD in Mathematics is worth it if you are interested in solving math problems and analytical thinking. You also have to be willing to commit to the long educational journey and research required to achieve this level of degree.

Exploring the mathematical fields is challenging and demanding but with time it provides excellent career opportunities. Math positions are respected and well-paid with positive job outlooks. Other than its academic difficulty, there aren’t many downsides when it comes to doctoral math degrees because you can go on to work in many fields.

Additional Reading About Mathematics

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PhD in Mathematics FAQ

Yes, a math PhD is useful because it will help you acquire some transferable skills that will be useful in virtually any industry. It is also useful for those interested in mathematics research or academia. If you wonder what you can do with a math degree , a PhD will equip you with many valuable skills.

Yes, a PhD in Mathematics is difficult to learn. It is difficult to be admitted to a doctoral program in mathematics, and it is also difficult and too abstract for most people to grasp advanced mathematical principles taught in PhD studies. Doctoral math studies are objectively difficult, even for those who are naturally strong at math and have excelled at it their whole life.

Mathematicians need several skills like active learning, complex problem-solving, critical thinking, and analytical skills. A good mathematician also needs information ordering and inductive and deductive reasoning abilities.

Mathematicians mainly explore mathematical principles or models and create their own mathematical theories and concepts. Most of the work they do is in the theoretical realm, that is why they mainly want to work in IT, social science, engineering, or financial fields.

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2024 Best Mathematics Doctor's Degree Schools

College Factual reviewed 115 schools in the United States to determine which ones were the best for doctor's degree seekers in the field of mathematics. Combined, these schools handed out 1,149 doctor's degrees in mathematics to qualified students.

Jump to one of the following sections: * Our Methodology

Best Doctor’s Degree Schools List

Choosing a Great Mathematics School for Your Doctor's Degree

A Great Overall School

The overall quality of a doctor's degree school is important to ensure a good education, not just how well they do in a particular major. To make it into this list a school must rank well in our overall Best Colleges for a Doctor's Degree ranking. This ranking considered factors such as graduation rates, overall graduate earnings and other educational resources to identify great colleges and universities.

Early-Career Earnings

One measure we use to determine the quality of a school is to look at the average salary of doctorate graduates during the early years of their career. This is because one of the main reasons people pursue their doctor's degree is to enable themselves to find better-paying positions.

Other Factors We Consider

In addition to the above, you should consider some of the following factors:

Major Focus - How many resources a school devotes to mathematics students as compared to other majors.
Major Demand - How many other mathematics students want to attend this school to pursue a doctor's degree.
Educational Resources - The amount of money and other resources allocated to students while they are pursuing their degree. These resources include such things as number of students per instructor and education expenditures per student.
Student Debt - How much debt mathematics students go into to obtain their doctor's degree and how well they are able to pay back that debt.
Accreditation - Whether a school is regionally accredited and/or accredited by a recognized mathematics related body.

Our complete ranking methodology documents in more detail how we consider these factors to identify the best schools for mathematics students working on their doctor's degree.

One Size Does Not Fit All

Since the program you select can have a significant impact on your future, we've developed a number of rankings , including this Best Mathematics Doctor's Degree Schools list, to help you choose the best school for you.

Featured Mathematics Programs

Learn about start dates, transferring credits, availability of financial aid, and more by contacting the universities below.

BA in Mathematics

If you have a knack for mathematics and an interest in learning more, study online to achieve your career goals at Southern New Hampshire University. Our mathematics degree can help you enhance your mathematical abilities, including reasoning and problem-solving in three areas: analysis, algebra and statistics.

BA in Mathematics - Applied Mathematics

Put mathematical concepts to work to solve today's most complex real-world problems by studying applied mathematics with this specialized online bachelor's from Southern New Hampshire University.

Best Schools for Doctorate Students to Study Mathematics in the United States

Learn about the top ranked colleges and universities for mathematics students seeking a a doctor's degree. Only those schools that rank in the top 15% of all the schools we analyze get awarded with a place on this list.

17 Top Schools for a Doctorate in Math

Massachusetts Institute of Technology is one of the finest schools in the country for getting a doctor's degree in mathematics. Located in the midsize city of Cambridge, MIT is a private not-for-profit school with a large student population. More information about a doctorate in mathematics from Massachusetts Institute of Technology

University of Chicago is one of the finest schools in the country for getting a doctor's degree in mathematics. Located in the large city of Chicago, UChicago is a private not-for-profit university with a large student population. More information about a doctorate in mathematics from University of Chicago

Cornell University is one of the best schools in the country for getting a doctor's degree in mathematics. Cornell is a very large private not-for-profit university located in the city of Ithaca. More information about a doctorate in mathematics from Cornell University

Any student pursuing a degree in a doctor's degree in mathematics has to look into Vanderbilt University. Vanderbilt is a fairly large private not-for-profit university located in the city of Nashville. More information about a doctorate in mathematics from Vanderbilt University

Harvard is a very large private not-for-profit university located in the midsize city of Cambridge. More information about a doctorate in mathematics from Harvard University

Northwestern is a fairly large private not-for-profit university located in the city of Evanston. More information about a doctorate in mathematics from Northwestern University

Located in the suburb of Notre Dame, Notre Dame is a private not-for-profit university with a fairly large student population. More information about a doctorate in mathematics from University of Notre Dame

Located in the large suburb of Saint Louis, WUSTL is a private not-for-profit university with a fairly large student population. More information about a doctorate in mathematics from Washington University in St Louis

Located in the city of Providence, Brown is a private not-for-profit university with a fairly large student population. More information about a doctorate in mathematics from Brown University

Located in the large city of New York, Columbia is a private not-for-profit university with a fairly large student population. More information about a doctorate in mathematics from Columbia University in the City of New York

Located in the large city of Pittsburgh, Carnegie Mellon is a private not-for-profit university with a fairly large student population. More information about a doctorate in mathematics from Carnegie Mellon University

Dartmouth is a medium-sized private not-for-profit college located in the town of Hanover. More information about a doctorate in mathematics from Dartmouth College

U-M is a fairly large public university located in the midsize city of Ann Arbor. More information about a doctorate in mathematics from University of Michigan - Ann Arbor

Located in the large city of Los Angeles, UCLA is a public university with a fairly large student population. More information about a doctorate in mathematics from University of California - Los Angeles

UC Berkeley is a fairly large public university located in the midsize city of Berkeley. More information about a doctorate in mathematics from University of California - Berkeley

Located in the large city of Madison, UW - Madison is a public university with a fairly large student population. More information about a doctorate in mathematics from University of Wisconsin - Madison

Located in the large city of Atlanta, Emory is a private not-for-profit university with a fairly large student population. More information about a doctorate in mathematics from Emory University

Additional Noteworthy Schools

Here are some additional great schools for Mathematics students that almost earned our Best Mathematics Doctor's Degree Schools award.

Mathematics by Region

View the Best Mathematics Doctor's Degree Schools for a specific region near you.

Other Rankings

Best associate degrees in mathematics, best master's degrees in mathematics, best value in mathematics, best for non-traditional students in mathematics, best online in mathematics, most popular online in mathematics, best bachelor's degrees in mathematics, best overall in mathematics, highest paid grads in mathematics, best for veterans in mathematics, most popular in mathematics, most focused in mathematics.

View All Rankings >

Mathematics Related Rankings by Major

One of 4 majors within the Mathematics & Statistics area of study, Mathematics has other similar majors worth exploring.

Math Focus Areas

Most popular related majors, notes and references.

The bars on the spread charts above show the distribution of the schools on this list +/- one standard deviation from the mean.
The Integrated Postsecondary Education Data System ( IPEDS ) from the National Center for Education Statistics (NCES), a branch of the U.S. Department of Education (DOE) serves as the core of the rest of our data about colleges.
Some other college data, including much of the graduate earnings data, comes from the U.S. Department of Education’s ( College Scorecard ). More about our data sources and methodologies .

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Doctor of Mathematics and Statistics Programs in America

1-25 of 162 results

MIT School of Science

Cambridge, MA •

Massachusetts Institute of Technology •

Graduate School

Massachusetts Institute of Technology ,

Graduate School ,

CAMBRIDGE, MA ,

Stanford University Department of Humanities and Sciences

Stanford, CA •

Stanford University •

Stanford University ,

STANFORD, CA ,

Yale Graduate School of Arts and Sciences

New Haven, CT •

Yale University •

• Rating 4.5 out of 5 2 reviews

Master's Student: The resources at Yale are outstanding. While some of the required courses are slow-moving and less informative, I do have more academic freedom in my second year to the program to take classes that I enjoy across all departments (including data science, statistics, computer science, and law). ... Read 2 reviews

Yale University ,

NEW HAVEN, CT ,

2 Niche users give it an average review of 4.5 stars.

Featured Review: Master's Student says The resources at Yale are outstanding. While some of the required courses are slow-moving and less informative, I do have more academic freedom in my second year to the program to take classes that I... .

Read 2 reviews.

University of Wyoming

Graduate School •

LARAMIE, WY

• Rating 4.42 out of 5 24

Mississippi State University

MISSISSIPPI STATE, MS

• Rating 4.51 out of 5 49

University of Pittsburgh

PITTSBURGH, PA

• Rating 4.43 out of 5 74

Harvard Graduate School of Arts and Sciences

Harvard University •

• Rating 4.56 out of 5 9 reviews

Other: I am Harvard Extension School student pursuing a master degree, ALM, in sustainability. I have achieved a 3.89 in this program so far and have qualified, applied, and accepted as a 'Special Student' in the Harvard Graduate School of Arts and Sciences. Through this School, I will be focusing my time at the John A. Paulson school of Engineering & Applied Sciences. Looking forward to wrapping up my final year on campus! ... Read 9 reviews

Harvard University ,

9 Niche users give it an average review of 4.6 stars.

Featured Review: Other says I am Harvard Extension School student pursuing a master degree, ALM, in sustainability. I have achieved a 3.89 in this program so far and have qualified, applied, and accepted as a 'Special Student'... .

Read 9 reviews.

Princeton University

Princeton, NJ •

• Rating 4.33 out of 5 3 reviews

Master's Student: The best part of the Princeton University mechanical engineering graduate degree is the excellent faculty that teach the courses. They are incredibly knowledgeable and also very willing to help students in office hours or in sponsorship of projects. The worst part of the Princeton University mechanical engineering graduate degree is the lack of structure for the graduate research program which can leave you feeling unsure on the direction of your research. ... Read 3 reviews

PRINCETON, NJ ,

3 Niche users give it an average review of 4.3 stars.

Featured Review: Master's Student says The best part of the Princeton University mechanical engineering graduate degree is the excellent faculty that teach the courses. They are incredibly knowledgeable and also very willing to help... .

Read 3 reviews.

The Graduate School at Duke

Durham, NC •

Duke University •

• Rating 4.8 out of 5 5 reviews

Current Master's student: The program is the best in the nation. It is the origin of the profession and it has helped developed it to what it is today. They seem to ver much involve alumni and are involved in your future. ... Read 5 reviews

Duke University ,

DURHAM, NC ,

5 Niche users give it an average review of 4.8 stars.

Featured Review: Current Master's student says The program is the best in the nation. It is the origin of the profession and it has helped developed it to what it is today. They seem to ver much involve alumni and are involved in your future. .

Read 5 reviews.

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Brown University Graduate School

Providence, RI •

Brown University •

Brown University ,

PROVIDENCE, RI ,

School of Arts & Sciences - University of Pennsylvania

Philadelphia, PA •

University of Pennsylvania •

University of Pennsylvania ,

PHILADELPHIA, PA ,

George R. Brown School of Engineering

Houston, TX •

Rice University •

Blue checkmark.

Rice University ,

HOUSTON, TX ,

Weinberg College of Arts and Sciences

Evanston, IL •

Northwestern University •

Northwestern University ,

EVANSTON, IL ,

College of Arts and Science

Nashville, TN •

Vanderbilt University •

Vanderbilt University ,

NASHVILLE, TN ,

Washington University in St. Louis - Arts & Sciences

St. Louis, MO •

Washington University in St. Louis •

Washington University in St. Louis ,

ST. LOUIS, MO ,

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Guarini School of Graduate and Advanced Studies

Hanover, NH •

Dartmouth College •

• Rating 5 out of 5 1 review

Alum: I had a beautiful life-changing experience at the grand Guarini School of Graduate and Advanced Studies. The Guarini graduate program MALS created so many beautiful opportunities in interdisciplinary learning. Guarini is well integrated within the College, which provides a unique world-class learning experience. Guarini went beyond my expectations and made this experience the best I had and will ever have in my life. The only thing I would like changed is having a GRAD diploma in Latin instead of English to keep up with College tradition. ... Read 1 review

Dartmouth College ,

HANOVER, NH ,

1 Niche users give it an average review of 5 stars.

Featured Review: Alum says I had a beautiful life-changing experience at the grand Guarini School of Graduate and Advanced Studies. The Guarini graduate program MALS created so many beautiful opportunities in interdisciplinary... .

Read 1 reviews.

Division of Physics, Mathematics and Astronomy - California Institute of Technology

Pasadena, CA •

California Institute of Technology •

California Institute of Technology ,

PASADENA, CA ,

College of Science - University of Notre Dame

Notre Dame, IN •

University of Notre Dame •

University of Notre Dame ,

NOTRE DAME, IN ,

Physical Sciences Division - University of Chicago

Chicago, IL •

University of Chicago •

Master's Student: The masters in computer science at UChicago has an opportunity for students from nontraditional computer science backgrounds to take “immersion courses” to get up to speed before taking the masters level coursework, which is extremely inclusive programming. The program is also a top competitor and prepares students for professional careers. ... Read 1 review

University of Chicago ,

CHICAGO, IL ,

Featured Review: Master's Student says The masters in computer science at UChicago has an opportunity for students from nontraditional computer science backgrounds to take “immersion courses” to get up to speed before taking the masters... .

Dornsife College of Letters, Arts and Sciences

Los Angeles, CA •

University of Southern California •

University of Southern California ,

LOS ANGELES, CA ,

Cornell University College of Arts & Sciences

Ithaca, NY •

Cornell University •

Cornell University ,

ITHACA, NY ,

Rackham School of Graduate Studies

Ann Arbor, MI •

University of Michigan - Ann Arbor •

• Rating 5 out of 5 3 reviews

Master's Student: I was nervous about attending a prestigious school like The University of Michigan but once classes started I realized that I had made the right decision. Tuition is very expensive but I love my professors and I believe that I am getting the best education in the country! ... Read 3 reviews

University of Michigan - Ann Arbor ,

ANN ARBOR, MI ,

3 Niche users give it an average review of 5 stars.

Featured Review: Master's Student says I was nervous about attending a prestigious school like The University of Michigan but once classes started I realized that I had made the right decision. Tuition is very expensive but I love my... .

School of Arts and Sciences - Tufts University

Medford, MA •

Tufts University •

• Rating 4 out of 5 3 reviews

Master's Student: Best: - Incredible colleagues, many of whom are working professionals in the field, all of whom are passionate & come from diverse backgrounds & bring a wide variety of life/ professional experiences that enhance the overall experience -One of the few DEIJ degree programs offered worldwide -flexible options for program completion -many passionate professors & deep learning opportunities -increasing program investment by Tufts, including 2 new FT program-specific professors Most challenging: -program has grown exponentially in the last several years & has experienced commiserate growing pains, including confusion about requirements, need for more faculty, and more opportunities for practice. Tufts is responding but needs to continue its investment. -Since the program is interdisciplinary, students in the DEIJ-L program often need to take classes offered by other dept's/ colleges which may have different requirements & DEIJ-L students may not get preference for registration purposes ... Read 3 reviews

Tufts University ,

MEDFORD, MA ,

3 Niche users give it an average review of 4 stars.

Featured Review: Master's Student says Best: - Incredible colleagues, many of whom are working professionals in the field, all of whom are passionate & come from diverse backgrounds & bring a wide variety of life/ professional experiences that... -One of the few DEIJ degree programs offered worldwide -flexible options for program completion -many passionate professors & deep learning opportunities -increasing program investment by Tufts, including 2 new FT program-specific professors Most challenging: -program has grown exponentially in the last several years & has experienced commiserate growing pains, including confusion about requirements, need for more faculty, and more opportunities for... -Since the program is interdisciplinary, students in the DEIJ-L program often need to take classes offered by other dept's/ colleges which may have different requirements & DEIJ-L students may not... .

UCLA College of Letters and Science

University of California - Los Angeles •

• Rating 3 out of 5 1 review

University of California - Los Angeles ,

1 Niche users give it an average review of 3 stars.

Krieger School of Arts & Sciences

Baltimore, MD •

Johns Hopkins University •

• Rating 4.53 out of 5 19 reviews

Master's Student: I have yet to enroll for Fall 2023 after receiving my acceptance letter due to a delay in my need-based financial aid from JHU. However the Homewood Campus in Baltimore is beautiful and my Student Advisor, Alexis has been extremely helpful in initiating my enrollment process and answering all of my questions in a timely matter. My intended Advanced Academic Program is the accelerated (2 semester), dual-modality, 40-credit M.S. in Biotechnology, Biodefense concentration. All of the anticipated course subjects are diverse and there's even a customizable core lab course on campus (at least until Summer 2024). I can't wait and I wish you all the best in your search for academic programs or professional certifications. ... Read 19 reviews

Johns Hopkins University ,

BALTIMORE, MD ,

19 Niche users give it an average review of 4.5 stars.

Featured Review: Master's Student says I have yet to enroll for Fall 2023 after receiving my acceptance letter due to a delay in my need-based financial aid from JHU. However the Homewood Campus in Baltimore is beautiful and my Student... .

Read 19 reviews.

Mellon College of Science

Pittsburgh, PA •

Carnegie Mellon University •

Carnegie Mellon University ,

PITTSBURGH, PA ,

The Graduate School of Arts & Sciences - University of Virginia

Charlottesville, VA •

University of Virginia •

• Rating 4 out of 5 1 review

Alum: Very good in some areas, excellent in other areas, many academic choices available in all areas of study ... Read 1 review

University of Virginia ,

CHARLOTTESVILLE, VA ,

1 Niche users give it an average review of 4 stars.

Featured Review: Alum says Very good in some areas, excellent in other areas, many academic choices available in all areas of study .

Laney Graduate School

Atlanta, GA •

Emory University •

• Rating 5 out of 5 2 reviews

Master's Student: I chose the graduate programs at Emory because they are ranked among the best in the country. The school of nursing also provides the clinical experiences, something many of the online only nurse practitioner programs do not do. ... Read 2 reviews

Emory University ,

ATLANTA, GA ,

2 Niche users give it an average review of 5 stars.

Featured Review: Master's Student says I chose the graduate programs at Emory because they are ranked among the best in the country. The school of nursing also provides the clinical experiences, something many of the online only nurse... .

College of Arts and Sciences - Lehigh University

Lehigh University •

BETHLEHEM, PA

New Jersey Institute of Technology

• Rating 4.62 out of 5 26

College of Arts and Sciences - University of Wyoming

University of Wyoming •

• Rating 5 out of 5 3

Showing results 1 through 25 of 162

Guide to Graduate Studies

The PhD Program The Ph.D. program of the Harvard Department of Mathematics is designed to help motivated students develop their understanding and enjoyment of mathematics. Enjoyment and understanding of the subject, as well as enthusiasm in teaching it, are greater when one is actively thinking about mathematics in one’s own way. For this reason, a Ph.D. dissertation involving some original research is a fundamental part of the program. The stages in this program may be described as follows:

Acquiring a broad basic knowledge of mathematics on which to build a future mathematical culture and more detailed knowledge of a field of specialization.
Choosing a field of specialization within mathematics and obtaining enough knowledge of this specialized field to arrive at the point of current thinking.
Making a first original contribution to mathematics within this chosen special area.

Students are expected to take the initiative in pacing themselves through the Ph.D. program. In theory, a future research mathematician should be able to go through all three stages with the help of only a good library. In practice, many of the more subtle aspects of mathematics, such as a sense of taste or relative importance and feeling for a particular subject, are primarily communicated by personal contact. In addition, it is not at all trivial to find one’s way through the ever-burgeoning literature of mathematics, and one can go through the stages outlined above with much less lost motion if one has some access to a group of older and more experienced mathematicians who can guide one’s reading, supplement it with seminars and courses, and evaluate one’s first attempts at research. The presence of other graduate students of comparable ability and level of enthusiasm is also very helpful.

University Requirements

The University requires a minimum of two years of academic residence (16 half-courses) for the Ph.D. degree. On the other hand, five years in residence is the maximum usually allowed by the department. Most students complete the Ph.D. in four or five years. Please review the program requirements timeline .

There is no prescribed set of course requirements, but students are required to register and enroll in four courses each term to maintain full-time status with the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Qualifying Exam

The department gives the qualifying examination at the beginning of the fall and spring terms. The qualifying examination covers algebra, algebraic geometry, algebraic topology, complex analysis, differential geometry, and real analysis. Students are required to take the exam at the beginning of the first term. More details about the qualifying exams can be found here .

Students are expected to pass the qualifying exam before the end of their second year. After passing the qualifying exam students are expected to find a Ph.D. dissertation advisor.

Minor Thesis

The minor thesis is complementary to the qualifying exam. In the course of mathematical research, students will inevitably encounter areas in which they have gaps in knowledge. The minor thesis is an exercise in confronting those gaps to learn what is necessary to understand a specific area of math. Students choose a topic outside their area of expertise and, working independently, learns it well and produces a written exposition of the subject.

The topic is selected in consultation with a faculty member, other than the student’s Ph.D. dissertation advisor, chosen by the student. The topic should not be in the area of the student’s Ph.D. dissertation. For example, students working in number theory might do a minor thesis in analysis or geometry. At the end of three weeks time (four if teaching), students submit to the faculty member a written account of the subject and are prepared to answer questions on the topic.

The minor thesis must be completed before the start of the third year in residence.

Language Exam

Mathematics is an international subject in which the principal languages are English, French, German, and Russian. Almost all important work is published in one of these four languages. Accordingly, students are required to demonstrate the ability to read mathematics in French, German, or Russian by passing a two-hour, written language examination. Students are asked to translate one page of mathematics into English with the help of a dictionary. Students may request to substitute the Italian language exam if it is relevant to their area of mathematics. The language requirement should be fulfilled by the end of the second year. For more information on the graduate program requirements, a timeline can be viewed at here .

Non-native English speakers who have received a Bachelor’s degree in mathematics from an institution where classes are taught in a language other than English may request to waive the language requirement.

Upon completion of the language exam and eight upper-level math courses, students can apply for a continuing Master’s Degree.

Teaching Requirement

Most research mathematicians are also university teachers. In preparation for this role, all students are required to participate in the department’s teaching apprenticeship program and to complete two semesters of classroom teaching experience, usually as a teaching fellow. During the teaching apprenticeship, students are paired with a member of the department’s teaching staff. Students attend some of the advisor’s classes and then prepare (with help) and present their own class, which will be videotaped. Apprentices will receive feedback both from the advisor and from members of the class.

Teaching fellows are responsible for teaching calculus to a class of about 25 undergraduates. They meet with their class three hours a week. They have a course assistant (an advanced undergraduate) to grade homework and to take a weekly problem session. Usually, there are several classes following the same syllabus and with common exams. A course head (a member of the department teaching staff) coordinates the various classes following the same syllabus and is available to advise teaching fellows. Other teaching options are available: graduate course assistantships for advanced math courses and tutorials for advanced undergraduate math concentrators.

Final Stages

How students proceed through the second and third stages of the program varies considerably among individuals. While preparing for the qualifying examination or immediately after, students should begin taking more advanced courses to help with choosing a field of specialization. Unless prepared to work independently, students should choose a field that falls within the interests of a member of the faculty who is willing to serve as dissertation advisor. Members of the faculty vary in the way that they go about dissertation supervision; some faculty members expect more initiative and independence than others and some variation in how busy they are with current advisees. Students should consider their own advising needs as well as the faculty member’s field when choosing an advisor. Students must take the initiative to ask a professor if she or he will act as a dissertation advisor. Students having difficulty deciding under whom to work, may want to spend a term reading under the direction of two or more faculty members simultaneously. The sooner students choose an advisor, the sooner they can begin research. Students should have a provisional advisor by the second year.

It is important to keep in mind that there is no technique for teaching students to have ideas. All that faculty can do is to provide an ambiance in which one’s nascent abilities and insights can blossom. Ph.D. dissertations vary enormously in quality, from hard exercises to highly original advances. Many good research mathematicians begin very slowly, and their dissertations and first few papers could be of minor interest. The ideal attitude is: (1) a love of the subject for its own sake, accompanied by inquisitiveness about things which aren’t known; and (2) a somewhat fatalistic attitude concerning “creative ability” and recognition that hard work is, in the end, much more important.

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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, 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 741 graduate programs are listed.

Bridge / Postbaccalaureate Programs

Masters Programs

Doctoral Programs

Certificate Programs

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.

PhD Program

During their first year in the program, students typically engage in coursework and seminars which prepare them for the Qualifying Examinations . Currently, these two exams test the student’s breadth of knowledge in algebra and real analysis. Starting in Autumn 2023, students will choose 2 out of 4 qualifying exam topics: (i) algebra, (ii) real analysis, (iii) geometry and topology, (iv) applied mathematics.

Current Course Requirements: To qualify for candidacy, the student must have successfully completed 27 units of Math graduate courses numbered between 200 and 297.

Within the 27 units, students must satisfactorily complete a course sequence. This can be fulfilled in one of the following ways:

Math 215A, B, & C: Algebraic Topology, Differential Topology, and Differential Geometry

Math 216A, B, & C: Introduction to Algebraic Geometry
Math 230A, B, & C: Theory of Probability
3 quarter course sequence in a single subject approved in advance by the Director of Graduate Studies.

Course Requirements for students starting in Autumn 2023 and later:

To qualify for candidacy, the student must have successfully completed 27 units of Math graduate courses numbered between 200 and 297. (The course sequence requirement is discontinued for students starting in Autumn 2023 and later.)

By the end of Spring Quarter of their second year in the program, students must have a dissertation advisor and apply for Candidacy.

During their third year, students will take their Area Examination, which must be completed by the end of Winter Quarter. This exam assesses the student’s breadth of knowledge in their particular area of research. The Area Examination is also used as an opportunity for the student to present their committee with a summary of research conducted to date as well as a detailed plan for the remaining research.

Typically during the latter part of the fourth or early part of the fifth year of study, students are expected to finish their dissertation research. At this time, students defend their dissertation as they sit for their University Oral Examination. Following the dissertation defense, students take a short time to make final revisions to their actual papers and submit the dissertation to their reading committee for final approval.

All students continue through each year of the program serving some form of Assistantship: Course, Teaching or Research, unless they have funding from outside the department.

Our graduate students are very active as both leaders and participants in seminars and colloquia in their chosen areas of interest.

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.

Questions? Email [email protected]

The firm deadline for applications for Autumn 2024, is December 4, 2023.
The (general and advanced) GRE tests are no longer accepted. Please do not submit these scores.

Overview of the PhD Program

For specific information on the Applied Mathematics PhD program, see the navigation links to the right.

What follows on this page is an overview of all Ph.D. programs at the School; additional information and guidance can be found on the Graduate Policies pages.

General Ph.D. Requirements

10 semester-long graduate courses, including at least 8 disciplinary. At least 5 of the 10 should be graduate-level SEAS "technical" courses (or FAS graduate-level technical courses taught by SEAS faculty), not including seminar/reading/project courses. Undergraduate-level courses cannot be used. For details on course requirements, see the school's overall PhD course requirements and the individual program pages linked therein.
Program Plan (i.e., the set of courses to be used towards the degree) approval by the Committee on Higher Degrees (CHD).
Minimum full-time academic residency of two years .
Serve as a Teaching Fellow (TF) in one semester of the second year.
Oral Qualifying Examination Preparation in the major field is evaluated in an oral examination by a qualifying committee. The examination has the dual purpose of verifying the adequacy of the student's preparation for undertaking research in a chosen field and of assessing the student's ability to synthesize knowledge already acquired. For details on arranging your Qualifying Exam, see the exam policies and the individual program pages linked therein.
Committee Meetings : PhD students' research committees meet according to the guidelines in each area's "Committee Meetings" listing. For details see the "G3+ Committee Meetings" section of the Policies of the CHD and the individual program pages linked therein.
Final Oral Examination (Defense) This public examination devoted to the field of the dissertation is conducted by the student's research committee. It includes, but is not restricted to, a defense of the dissertation itself. For details of arranging your final oral exam see the Ph.D. Timeline page.
Dissertation Upon successful completion of the qualifying examination, a committee chaired by the research supervisor is constituted to oversee the dissertation research. The dissertation must, in the judgment of the research committee, meet the standards of significant and original research.

Optional additions to the Ph.D. program

Harvard PhD students may choose to pursue these additional aspects:

a Secondary Field (which is similar to a "minor" subject area). SEAS offers PhD Secondary Field programs in Data Science and in Computational Science and Engineering . GSAS lists secondary fields offered by other programs.
a Master of Science (S.M.) degree conferred en route to the Ph.D in one of several of SEAS's subject areas. For details see here .
a Teaching Certificate awarded by the Derek Bok Center for Teaching and Learning .

SEAS PhD students may apply to participate in the Health Sciences and Technology graduate program with Harvard Medical School and MIT. Please check with the HST program for details on eligibility (e.g., only students in their G1 year may apply) and the application process.

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Ph.D. Program Overview

Description.

The graduate program in the field of mathematics at Cornell leads to the Ph.D. degree, which takes most students five to six years of graduate study to complete. One feature that makes the program at Cornell particularly attractive is the broad range of interests of the faculty . The department has outstanding groups in the areas of algebra, algebraic geometry, analysis, applied mathematics, combinatorics, dynamical systems, geometry, logic, Lie groups, number theory, probability, and topology. The field also maintains close ties with distinguished graduate programs in the fields of applied mathematics , computer science , operations research , and statistics .

Core Courses

A normal course load for a beginning graduate student is three courses per term.

There are no qualifying exams, but the program requires that all students pass four courses to be selected from the six core courses. First-year students are allowed to place out of some (possibly, all) of the core courses. In order to place out of a course, students should contact the faculty member who is teaching the course during the current academic year, and that faculty member will make a decision. The minimum passing grade for the core courses is B-; no grade is assigned for placing out of a core course.

At least two core courses should be taken (or placed out) by the end of the first year. At least four core courses should be taken (or placed out) by the end of the second year (cumulative). These time requirements can be waived for students with health problems or other significant non-academic problems. They can be also waived for students who take time-consuming courses in another area (for example, CS) and who have strong support from a faculty; requests from such students should be made before the beginning of the spring semester.

The core courses are distributed among three main areas: analysis, algebra and topology/geometry. A student must pass at least one course from each group. All entering graduate students are encouraged to eventually take all six core courses with the option of an S/U grade for two of them.

The six core courses are:

MATH 6110, Real Analysis

MATH 6120, Complex Analysis

MATH 6310, Algebra 1

MATH 6320, Algebra 2

MATH 6510, Introductory Algebraic Topology

MATH 6520, Differentiable Manifolds.

Students who are not ready to take some of the core courses may take MATH 4130-4140, Introduction to Analysis, and/or MATH 4330-4340, Introduction to Algebra, which are the honors versions of our core undergraduate courses.

"What is...?" Seminar

The "What Is...?" Seminar is a series of talks given by faculty in the graduate field of Mathematics. Speakers are selected by an organizing committee of graduate students. The goal of the seminar is to aid students in finding advisors.

Schedule for the "What Is...?" seminar

Special Committee

The Cornell Graduate School requires that every student selects a special committee (in particular, a thesis adviser, who is the chair or the committee) by the end of the third semester.

The emphasis in the Graduate School at Cornell is on individualized instruction and training for independent investigation. There are very few formal requirements and each student develops a program in conjunction with his or her special committee, which consists of three faculty members, some of which may be chosen from outside the field of mathematics.

Entering students are not assigned special committees. Such students may contact any of the members on the Advising Committee if they have questions or need advice.

Current Advising Committee

Analysis / Probability / Dynamical Systems / Logic: Lionel Levine Geometry / Topology / Combinatorics: Kathryn Mann Probability / Statistics: Philippe Sosoe Applied Mathematics Liaison: Richard Rand

Admission to Candidacy

To be admitted formally to candidacy for the Ph.D. degree, the student must pass the oral admission to candidacy examination or A exam. This must be completed before the beginning of the student's fourth year. Upon passing the A exam, the student will be awarded (at his/her request) an M.S. degree without thesis.

The admission to candidacy examination is given to determine if the student is “ready to begin work on a thesis.” The content and methods of examination are agreed on by the student and his/her special committee before the examination. The student must be prepared to answer questions on the proposed area of research, and to pass the exam, he/she must demonstrate expertise beyond just mastery of basic mathematics covered in the core graduate courses.

To receive an advanced degree a student must fulfill the residence requirements of the Graduate School. One unit of residence is granted for successful completion of one semester of full-time study, as judged by the chair of the special committee. The Ph.D. program requires a minimum of six residence units. This is not a difficult requirement to satisfy since the program generally takes five to six years to complete. A student who has done graduate work at another institution may petition to transfer residence credit but may not receive more than two such credits.

The candidate must write a thesis that represents creative work and contains original results in that area. The research is carried on independently by the candidate under the supervision of the chairperson of the special committee. By the time of the oral admission to candidacy examination, the candidate should have selected as chairperson of the committee the faculty member who will supervise the research. When the thesis is completed, the student presents his/her results at the thesis defense or B Exam. All doctoral students take a Final Examination (the B Exam, which is the oral defense of the dissertation) upon completion of all requirements for the degree, no earlier than one month before completion of the minimum registration requirement.

Masters Degree in the Minor Field

Ph.D. students in the field of mathematics may earn a Special Master's of Science in Computer Science. Interested students must apply to the Graduate School using a form available for this purpose. To be eligible for this degree, the student must have a member representing the minor field on the special committee and pass the A-exam in the major field. The rules and the specific requirements for each master's program are explained on the referenced page.

Cornell will award at most one master's degree to any student. In particular, a student awarded a master's degree in a minor field will not be eligible for a master's degree in the major field.

Graduate Student Funding

Funding commitments made at the time of admission to the Ph.D. program are typically for a period of five years. Support in the sixth year is available by application, as needed. Support in the seventh year is only available by request from an advisor, and dependent on the availability of teaching lines. Following a policy from the Cornell Graduate School, students who require more than seven years to complete their degree shall not be funded as teaching assistants after the 14th semester.

Special Requests

Students who have special requests should first discuss them with their Ph.D. advisor (or with a field member with whom they work, if they don't have an advisor yet). If the advisor (or field faculty) supports the request, then it should be sent to the Director of Graduate Studies.

Applied Mathematics

Share this page.

Applied Mathematics is an area of study within the Harvard John A. Paulson School of Engineering and Applied Sciences. Prospective students apply through Harvard Griffin GSAS; in the online application, select “Engineering and Applied Sciences” as your program choice and select “PhD Applied Math” in the Area of Study menu.

Applied Mathematics at the Harvard John A. Paulson School of Engineering is an interdisciplinary field that focuses on the creation and imaginative use of mathematical concepts to pose and solve problems over the entire gamut of the physical and biomedical sciences and engineering, and increasingly, the social sciences and humanities

Working individually and as part of teams collaborating across the University and beyond, you will partner with faculty to quantitatively describe, predict, design and control phenomena in a range of fields. Projects current and past students have worked on include collaborations with mechanical engineers to uncover some of the fundamental properties of artificial muscle fibers for soft robotics and developing new ways to simulate tens of thousands of bubbles in foamy flows for industrial applications such as food and drug production.

Graduates of the program have gone on to a range of careers in industry in organizations like the Kingdom of Morocco, Meta, and Bloomberg. Others have secured faculty positions at Dartmouth, Imperial College in London, and UCLA.

Standardized Tests

GRE General: Not accepted

APPLICATION DEADLINE

Questions about the program.

The Graduate Program

The Department of Mathematics offers Ph.D. programs in Mathematics and Applied Mathematics. The department also supports students in the Graduate Group in Logic and the Methodology of Science , an interdisciplinary doctoral program shared between the departments of Philosophy and Mathematics. At this time, we no longer offer a terminal Master's degree program.

To review the policies and procedures of the Graduate Program, please refer to our Graduate Student Handbook .

Please note: Some Mathematics Advising Services have been moved to virtual platforms. You can find the latest information on UC Berkeley’s prevention and response efforts related to COVID-19 here.

Graduate Program Contacts

The Graduate Program is overseen by the Departmental Vice Chair for Graduate Affairs and the Graduate Student Affairs Officers.

Professor Tom Scanlon, Vice Chair for Graduate Affairs
Clay Calder, Graduate Student Affairs Officer
Christian Natividad, Graduate Student Affairs Officer
Vicky Lee, Director of Student Services

For Questions Regarding Math Graduate Admissions: Please see the Admissions web page here . After reviewing the admissions website, if you have further questions please email [email protected] .

Best Global Universities for Mathematics in the United States

These are the top universities in the United States for mathematics, based on their reputation and research in the field. Read the methodology »

To unlock more data and access tools to help you get into your dream school, sign up for the U.S. News College Compass !

Here are the best global universities for mathematics in the United States

Stanford university, massachusetts institute of technology (mit), princeton university, harvard university, university of california berkeley, columbia university, university of california los angeles, university of washington seattle, new york university, texas a&m university college station.

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# 1 in Best Universities for Mathematics
# 3 in Best Global Universities

Stanford University was founded in 1885 and is located in California’s Bay Area, around 30 miles south of San Francisco... Read More

# 2 in Best Universities for Mathematics
# 2 in Best Global Universities

Massachusetts Institute of Technology, founded in 1861, is located in Cambridge, Massachusetts, near Boston. Around... Read More

# 3 in Best Universities for Mathematics
# 16 in Best Global Universities (tie)

Princeton University was founded in 1746, making it one of the oldest higher education institutions in the U.S. The... Read More

# 5 in Best Universities for Mathematics
# 1 in Best Global Universities

Founded in 1636, Harvard University is the oldest higher education institution in the U.S. The bulk of Harvard's... Read More

# 6 in Best Universities for Mathematics
# 4 in Best Global Universities

The University of California—Berkeley is situated roughly 15 miles from San Francisco in what is known as the Bay Area... Read More

# 11 in Best Universities for Mathematics
# 7 in Best Global Universities

Columbia University is a private institution that was founded in 1754. It is located in the Upper West Side of New York... Read More

# 13 in Best Universities for Mathematics
# 14 in Best Global Universities

The University of California—Los Angeles, commonly referred to as UCLA, is a public institution that was founded in... Read More

# 14 in Best Universities for Mathematics
# 6 in Best Global Universities

The University of Washington is a public institution that was founded in 1861. The school's oldest and largest campus in... Read More

# 16 in Best Universities for Mathematics
# 31 in Best Global Universities

New York University, also known as NYU, is a private university that was founded in 1831. The university's main campus... Read More

# 19 in Best Universities for Mathematics
# 148 in Best Global Universities

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Our Department

The core faculty of the Mathematics Department comprises around 50 tenured and tenure-track members who carry out research, supervise Ph.D. students, and teach graduate and undergraduate courses. There are also a handful of postdoctoral researchers, including our Bing Instructors, and several emeritus faculty.

As the flagship public university in Texas, a core part of our mission is teaching undergraduates from all over this huge and varied state. While graduate students and tenure-stream faculty contribute a great deal to this mission, we also have a substantial body of instructional faculty members. These highly-valued members of our department bringing excellence, commitment and innovation to their teaching. They include faculty members with expertise in actuarial mathematics, among them Mark Maxwell, who directs the Actuarial Mathematics MA program.

The department has internationally recognized research groups in a number of overlapping areas:

Applied and Computational Mathematics
Probability and Financial Mathematics
Algebra and number theory
Groups and Dynamics

Our Ph.D. students carry out research in all of these areas. In 2019, the groups in Topology, Analysis and Applied Math were ranked among the top 10 nationally by US News & World Reports.

The large Analysis group is a powerhouse for research in partial differential equations (PDE), as well as geometric analysis, the calculus of variations, and certain aspects of mathematical physics. Among several outstanding researcher, endowed chair-holder Luis Caffarelli is renowned as one of the world’s leading mathematical analysts, while Philip Isett recently won a prestigious Clay Research Award. The PDE of fluid dynamics and statistical physics are particular foci. The group was awarded a 5-year Research Training Grant (RTG) by the NSF in 2018; activities supported financially by the RTG include research by US graduate students working in the area.

Faculty working in Applied and Computational Mathematics often have dual appointments at the Oden Institute for Computational Engineering and Sciences , an interdisciplinary institute for mathematical modeling and scientific computation. These include endowed chair-holder Bjorn Engquist. Research topics include numerical analysis, applied aspects of PDE, signal processing, and machine learning. In 2020, UT Austin was selected by the NSF as the home of a national Artificial Intelligence institute, focused on machine learning; mathematics faculty such as Rachel Ward are strongly involved in this project.

We also have faculty working on the mathematics of networks—notably, Simons Mathematics and Electrical and Computer Engineering Chair François Baccelli—and on the mathematics of neuroscience. Closely connected, research in Probability at UT covers financial mathematics (with connections to the McCombs School of Business), network theory, combinatorics and theoretical probability.

Our Geometry group works on a broad swathe of mathematics including algebraic and differential geometry, mirror symmetry, algebraic topology, geometric representation theory, categorical and “derived” methods, and the mathematics of quantum field theory. There is special strength in a nexus of ideas around algebraic geometry and mirror symmetry, notably represented in the work of endowed chair-holder and Clay Research Award recipient Bernd Siebert. Research in Algebra overlaps with that in geometry, and also includes number theory, arithmetic geometry, and representation theory.

The Topology group has traditionally focused on low-dimensional topology, as in the work of endowed chair Cameron Gordon on 3-manifolds and knots. A burgeoning Groups and Dynamics group has recently added to the department’s research portfolio. The Topology and Groups and Dynamics groups were in 2019 jointly awarded a 5-year Research Training Grant by the NSF, on Groups and Dynamics , covering a nexus of ideas including the dynamics of group actions, fundamental groups in 3-manifold topology, and geometric structures on manifolds.

The Department of Mathematics offers the following degree programs:

Ph. D. in Mathematics
M. A. in Mathematics (Actuarial Focus)

Key People & committees

Graduate advisor.

The Graduate Advisor is a faculty member of the Mathematics Department who oversees the graduate program, especially its academic aspects. The Graduate Advisor is typically appointed Associate Chair of Graduate Education by the CNS. Responsibilities include student welfare, monitoring of students’ academic and professional performance, advocating for students and for an equitable climate in the program, and leading the recruitment process for new graduate students. The Graduate Advisor coordinates with the CNS and Graduate School on matters related to the graduate program, and works closely with the Graduate Program Administrator on the running of the program.

Students may consult the Graduate Advisor on academic aspects of the program and issues of welfare and well-being, and in situations where a dispute with a faculty member (such as an academic advisor or the instructor for a course in which the student is the TA) arises.

Assistant Graduate Advisor

The Assistant Graduate Advisor provides additional support in the areas of student welfare and recruitment.

Graduate Program Administrator

The Graduate Program Administrator, sometimes called the Graduate Coordinator, is responsible for the administration of the graduate program. Important aspects include matters related to appointments and employment, benefits, and course registration. This role is carried out in close consultation with the Graduate Advisor, and also involves coordination with the CNS and Graduate School.

Students should consult the Graduate Program Administrator on queries and concerns of an administrative, rather than academic, nature.

Actuarial Program Director

The Actuarial Program Director is responsible for academic aspects of, and recruitment to, the MA program with focus in Actuarial Studies.

The Graduate Studies Committee

The Graduate Studies Committee (GSC) comprises the tenured and tenure-track faculty of the Mathematics department, as well as certain faculty members from other departments of the university (typically working in fields closely allied to Mathematics). Only members of the GSC are permitted to supervise Ph.D. students. The GSC is responsible for major strategic decisions concerning the graduate program. The GSC delegates some of its responsibilities to the Administrative Subcommittee of the Graduate Studies Committee (or ASGSC). The ASGSC is currently chaired by Gordan Žitkoviç ( [email protected] ). The responsibilities of the ASGSC include the administration of Prelim exams. The ASGSC also adjudicates when a student requests an exception to program rules, and in the rare event of a dispute between a graduate student and the Graduate Advisor.

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‘US News & World Report’ releases latest graduate, professional program rankings

Thirty-one University of Iowa colleges and programs were recognized among the best in their field in the U.S. News & World Report Best Graduate Schools rankings. Four of these programs received a top-10 ranking in this year’s report, which will be released in two parts.

Each year, U.S. News ranks professional school programs in a variety of disciplines, including business, education, engineering, law, medicine, nursing, and public health. Most rankings were published on April 9, but rankings for medicine, engineering, and clinical psychology will be released later. U.S. News has not set a date; this story will be updated when the additional rankings are released.

Iowa continues to excel in its rankings, with 21 colleges and programs among the top 25 in the nation, according to their most recent ranking.

Below are all UI colleges and programs included in the graduate school rankings.

2. Audiology (College of Liberal Arts and Sciences)

3. Rehabilitation counseling (College of Education)*

4. Nursing anesthesia (College of Nursing)

4. Clinical nurse leader MSN (College of Nursing)*

4. Pediatric primary care DNP (College of Nursing)*

5. Speech-language pathology (CLAS)

7. Gerontology, acute care DNP (College of Nursing)

7. Printmaking (CLAS)*

11. Student counseling (College of Education)

14. DNP family nurse practitioner (College of Nursing)

14. Health Care Management (College of Public Health)*

17. Environmental health sciences (College of Public Health)

20. Biostatistics (College of Public Health)

22. Higher education administration (College of Education)

22. Doctor of nursing practice

22. Health policy and management (College of Public Health)

23. Fine arts (CLAS)*

24. Contracts/commercial law

24. College of Pharmacy

25. Business, part-time MBA (Tippie College of Business)

25. College of Public Health

28. Business/corporate law

30. College of Education

30. Statistics (CLAS)*

34. Constitutional law

34. Criminal law

35. Accounting (Tippie College of Business)

35. Library and Information Studies (Graduate College)*

36. College of Law

39. Psychology (CLAS)*

40. English (CLAS)*

41. Sociology (CLAS)*

46. Political science (CLAS)*

48. History (CLAS)*

50. Nursing, master’s degree

53. Economics (Tippie College of Business)*

54. Tax law

55. Mathematics (CLAS)*

58. Biological sciences (CLAS)*

59. International law

60. Social work (CLAS)

62. Intellectual property law

67. Health care law

67. Chemistry (CLAS)*

67. Physics (CLAS)*

70. Environmental law

70. Earth science (CLAS)*

77. Computer science (CLAS)

95. Clinical training law

99. Public affairs (Graduate College)

103. Trial advocacy law

Rankings with an asterisk (*) were not evaluated this year, but represent the college or program’s most recent ranking.

U.S. News & World Report Ranks UH Graduate Programs Among Nation’s Best in 2024

Four UH Graduate Programs Rank in Top 10, 17 in Top 50

By Shawn Lindsey — 713-743-5725

University and Campus
Student, Faculty and Staff Success

The University of Houston is once again proving that it is a powerhouse in graduate education, with 13 of its programs securing spots among the top 50 nationwide in the 2024 U.S. News & World Report graduate program rankings, released today. Three engineering programs maintain their top 50 rank pending the release of 2024 engineering rankings, which have been delayed. In total, UH has 17 programs in the top 50.

A total of four UH graduate programs rank in the top 10 nationwide, including three from the UH Law Center: Health Care Law (No. 7), Part-Time Law (No. 8) and Intellectual Property Law (No. 8). The Petroleum Engineering program in the Cullen College of Engineering maintains its No. 9 ranking pending forthcoming rankings in the discipline. Since 2020, UH has seen a 70% increase in the number of graduate programs earning a top 50 ranking.

“Being acknowledged among the nation's top performers in these vital fields is truly gratifying and affirms the national prestige of these programs and the caliber of faculty, staff and students,” said Diane Z. Chase, UH senior vice president for academic affairs and provost. “Delivering top-tier professional and graduate programs and positioning students for success in their respective fields of graduate study is integral to our vision of ascending as a top 50 public university.”

This year, seven UH Law Center specialty programs are ranked among the Top 50 in the country, with three ranked No. 1 in the state of Texas.

Top 50 Ranked UH Graduate Programs Nationwide:

Health Care Law (No. 7)
Part-Time Law (No. 8)
Intellectual Property Law (No. 8)
Petroleum Engineering (No. 9)*
Trial Advocacy (No. 13)
Online Overall Graduate Education Program (No. 14)
Legal Writing (No. 16)
Environmental Law (No. 30)
Tax Law (No. 32)
Chemical Engineering (No. 34)*
International Law (No. 38)
Pharmacy (No. 41)
Dispute Resolution Law (No. 42)
Business Part-Time MBA (No. 45)
Speech-Language Pathology (No. 44)
Industrial Manufacturing (No. 50)*
Political Science (No. 50)**

*2023 ranking; U.S. News has delayed 2024 engineering program rankings

**discipline not ranked in 2024 but maintains a previous top 50 ranking

Each year, U.S. News ranks professional school programs in business, education, engineering, law, medicine, and nursing, including specialties in each area. The rankings are based on enrollment numbers, job placement rates, faculty statistics, and other essential quality indicators designed to help prospective students make informed decisions.

“Deciding where to attend graduate school can be formidable, considering the wealth of schools with distinctive and quality programs,” said LaMont Jones, Ed.D., managing editor for Education at U.S. News. “The Best Graduate Schools rankings and related content empower prospective students to choose the best fi t for their educational needs and ultimately achieve career success.”

The top programs in the nation earn “best of” recognition by U.S. News. UH made the following 2024 graduate program lists:

Best Business Schools
Best Health Schools
Best Public Affairs Schools
Best Science Schools
Best Law Schools
Best Education Schools

To see all of the graduate program rankings, or to learn more about the ranking methodology, visit the U.S. News & World Report website .

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Health and Medicine

UNC-Chapel Hill graduate programs ranked among best in nation

U.S. News & World Report’s 2024 “Best Graduate Schools” list named multiple Carolina graduate degree programs in the top 10, including UNC Eshelman School of Pharmacy at No. 1.

Wide-angle shot of the Old Well on the campus of UNC-Chapel Hill with a student walking by it. South Building is seen in the background.

Numerous UNC-Chapel Hill graduate programs received high rankings – 20 were among the top 10 in the nation in their respective categories – as part of U.S. News & World Report’s “Best Graduate Schools” list.

For the third time in a row (2016, 2020 and 2024), UNC Eshelman School of Pharmacy is the top pharmacy school in the U.S. The rankings are based on a survey of peers from accredited pharmacy schools across the country and are published every four years.

The Gillings School of Global Public Health was ranked second out of 213 schools and programs of public health in the U.S. for the seventh consecutive rankings period. The Gillings School has also maintained its position as the top public school of public health and has been ranked among the top schools and programs of public health by U.S. News since the magazine first ranked public health schools in 1987. U.S. News & World Report does not rank all graduate programs each year.

“Carolina’s graduate programs are exceptional, and it’s no surprise that our schools are ranked so highly among peer institutions by U.S. News and World Report, as well as other measures,” said UNC-Chapel Hill Interim Chancellor Lee H. Roberts. “Carolina is always proud to be recognized for our dedication to a world-class education. Every one of our graduate programs contributes to making us the leading public research university.”

Altogether, 23 programs increased their rankings, including multiple programs in the Gillings School of Global Public Health, School of Nursing, School of Education, Kenan-Flagler Business School and UNC School of Law.

“These rankings represent the hard work of our faculty, staff and students who are dedicated to moving Carolina forward through their incredible efforts each day,” said UNC-Chapel Hill Provost Chris Clemens. “It is gratifying to see this public recognition of their commitment to the mission of our graduate programs in research, teaching and public service. Even more than in the rankings, the proof of their work is the quality of our students and our passionate alumni who lead in so many fields.”

The School of Social Work moved up three spots in the latest rankings to a tie for fourth overall and is tied for second among public universities.

This year marks the first time since U.S. News & World Report began ranking law schools in 1987 that UNC School of Law has reached No. 20 out of 196 law schools. The UNC School of Law is also the seventh-ranked public law school.

Additional UNC-Chapel Hill rankings for 2024 follow.

Please note: Not all graduate programs are ranked by U.S. News & World Report every year. For a complete list of rankings for UNC-Chapel Hill, visit the U.S. News & World Report website .

UNC Eshelman School of Pharmacy

Gillings school of global public health.

First public, second overall

Specialty Areas

Health Behavior, second
Biostatistics, third
Epidemiology, third
Health Policy and Management, fourth
Environmental Health Science, eighth

School of Social Work

Tied for fourth

School of Nursing

Nursing Schools, Master’s Programs, tied for eighth
Nursing Schools – DNP Programs, tied for 17th
Nursing Master’s, Administration/Management, fourth
Nursing Master’s, Nurse Practitioner: Psychiatric/Mental Health, fourth
Nursing Master’s, Nurse Practitioner: Family, tied for sixth
Nursing Master’s, Acute Care Practitioner, tied for seventh
Nursing DNP, Psychiatric/Mental Health, third
Nursing DNP, Family, tied for sixth

UNC Kenan-Flagler Business School

Tied for 20th
Real Estate, ninth
Accounting, tied for 13th
Executive MBA, 14th
Management, 16th
Production Operations, 16th
Finance, 20th
Marketing, tied for 25th

UNC School of Education

Tied for 25th
Special Education, tied for 13th
Elementary Teacher Education, tied for 14th
Educational Psychology, tied for 15th
Education Policy, tied for 16th
Secondary Teacher Education, tied for 17th
Educational Administration, tied for 17th
Curriculum and Instruction, tied for 22nd

College of Arts and Sciences

Computer science.

Overall, 27th

Public Affairs

Overall, 39th (Master of Public Policy)

As part of the public affairs category, U.S. News and World Report ranked Carolina programs and specialty areas based in the School of Government and the College of Arts and Sciences’ department of public policy.

School of Government

Public Affairs, 23rd (Master of Public Administration)
Local Government Management, second
Leadership, 10th
Public Finance, 18th

UNC School of Law

Legal Writing, tied for 20th
Criminal Law, tied for 20th
Tax Law, tied for 20th
Business/Corporate Law, tied for 22nd
Clinical Training, tied for 23rd
Contracts/Commercial Law, 23rd
Health Care Law, tied for 28th
Constitutional Law, tied for 29th
Environmental Law, tied for 45th
International Law, tied for 52nd
Intellectual Property Law, tied for 53rd
Trial Advocacy, tied for 118th

UNC School of Medicine (additional Rankings will be available at a later date)

Audiology, tied for third
Occupational Therapy, fifth
Physical Therapy, 11th
Speech Language Pathology, 12th

Fresh off the debut of her musical adaptation of “The Notebook,” Bekah Brunstetter ’04 will debut “The Game” in Chapel Hill.

Arts Everywhere Day set for April 12

The eighth annual campus-wide event celebrates artists creating in all mediums.

Trees in background with old well in foreground, with text at top corner reading

Are you ready to run, hide and fight/defend?

Active Shooter and Critical Incident Response training customizes emergency preparedness to your workspace.

Message about School of Education Dean Fouad Abd-El-Khalick

In a campus email, Provost J. Christopher Clemens announced that Abd-El-Khalick has been named provost and senior vice chancellor for academic affairs at the University of Massachusetts Amherst, effective July 1.

Carolina’s Pride Week begins April 8

Events include poetry performances, arts and crafts, a barbecue fundraiser, ultimate Frisbee and a pool party.

Boston Dynamics four legged robot walking around campus with onlookers of all ages surrounding it.

Here comes the UNC Science Expo…

And there goes the sun as Morehead Planetarium’s April 6-8 weekend celebration also features an eclipse watch party.

Landscape shot of Nepal during the day, overseeing buildings.

Tar Heel team begins preservation of ancient Nepal temple

Religious studies scholar and computer scientist want to create 3D model of 1,500-year-old Buddhist shrine.

Researcher uses data science to address homelessness

Data science and social work faculty member Hsun-Ta Hsu combines machine learning with data and community feedback.

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$A photo of a crowd of people walking past a sign that says \"VCU\" in giant yellow letters.$

April 9, 2024

VCU receives 10 updated top-50 rankings from U.S. News & World Report, including two in the top 10

The latest graduate program rankings from the publication place the School of Pharmacy and the School of Education among the top 25 schools in their categories in the country.

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By VCU News staff

Virginia Commonwealth University received 10 top-50 rankings in the newly updated U.S. News & World Report graduate program rankings released today, bringing VCU’s current total number of top 50 graduate program rankings by the publication, including online graduate programs, to 22.

VCU’s newest rankings included six in the top 25 of their categories, and two – Nurse Anesthesia (No. 6) and Homeland Security (No. 6) – that are in the top 10. Two schools – Pharmacy (tied for No. 19) and Education (tied for No. 25) – received overall top 25 rankings. Not all program areas receive updated rankings each year.

“These updated rankings are yet another affirmation of VCU’s emergence among the nation’s most influential and impactful universities,” said Fotis Sotiropoulos, Ph.D., provost and senior vice president for academic affairs. “The incredible work of VCU’s unstoppable faculty members, and our unrelenting focus on excellence, impact and access are driving VCU’s ascent. Congratulations to everyone involved in the dozen graduate programs that are moving onto and up the top 50 national rankings; you’re an inspiration across our campuses!”

The School of Education had two top 25 rankings, including in the overall Education category (tied for No. 25) and the Special Education category (tied for No. 19). Kathleen Rudasill, Ph.D., interim dean of the VCU School of Education, noted that the overall ranking places the school in the top 5.5% of the 456 schools surveyed for that category.

"Our research achievements are particularly impressive,” Rudasill said. “We have achieved and maintained the No. 1 ranking in Virginia and No. 9 in the nation in terms of our funded research expenditure per faculty member. We reported $975,000 per faculty member in research funding. In FY23, we generated $40.1 million in external funding, an all-time high for the school. This incredible level of grant funding means that our students have more opportunities to do meaningful research work with our communities, giving them real-world experiences to prepare them for the future.”

The College of Health Professions received updated top 50 rankings in three categories. In addition to Nurse Anesthesia (No. 6), Occupational Therapy was tied for No. 14 and Physical Therapy was tied for No. 29.

“At the VCU College of Health Professions, we deliver an exceptional experience for students preparing to become future leaders and skilled professionals in health care’s most in-demand roles,” said Paula Song, Ph.D., interim dean and Richard M. Bracken Chair, College of Health Professions. “Our departments and programs promote academic excellence through teaching, research, diversity and innovation – all under one roof. With five programs consistently ranked among the top in the nation – three of which are ranked in the top 10 by U.S. News & World Report – the VCU College of Health Professions is unparalleled in excellence.”

The School of Pharmacy moved from No. 20 into a tie for No. 19 in the latest rankings.

“Our school has long been a leader in pharmacy education, as demonstrated through our consistently high graduation, job placement and board pass rates for students,” said K.C. Ogbonna, Pharm.D., Arthur O. McCalley Chair and dean of the School of Pharmacy. “As we continue to innovate and prioritize student success, this serves as yet another recognition of the ongoing commitment of our faculty and staff to supporting our students in achieving their goals and developing their skills as the next generation of clinicians and scientists capable of transforming health care delivery.”

The L. Douglas Wilder School of Government and Public Affairs had three top-50 updated rankings, including Homeland Security (No. 6), Public Management and Leadership (tied for No. 33) and Public Affairs (tied for No. 39).

“I am immensely proud to share that the Wilder School has once again demonstrated its commitment to academic excellence and innovation in the field of public affairs. For the first time in our history, we have been recognized as the sixth-leading institution in the nation for Homeland Security,” said Susan T. Gooden, Ph.D., dean of the Wilder School. “This landmark achievement highlights our school’s significant contributions to this critical area of study and practice. Additionally, our consistent presence in the top 40 national rankings for schools of public affairs over the past six years showcases our role as a vanguard institution. As the premier school in Virginia for these disciplines, our dedication to shaping the future of public service and leadership remains steadfast.”

In addition, the School of Social Work placed in a tie for No. 28 in the Social Work programs category.

The new rankings are just the latest recognitions of VCU by U.S. News & World Report. In 2022, it ranked VCU among the best global universities . And in September 2023, it ranked VCU as one of the 20 most innovative public universities in the U.S. For more on VCU’s rankings, visit www.vcu.edu/about-vcu/facts-and-rankings/ .

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UMD’s Computer Science Graduate Program Holds Steady as Top 10 Public

The University of Maryland’s computer science graduate program ranks No. 10 among the country’s public institutions in the 2024 edition of U.S. News & World Report ’s “Best Graduate Schools.” The program ranks 17th overall, the same as last year.

UMD also ranks high in three computer science specialties:

Artificial intelligence at No. 15 (No. 9 among publics)
Theory at No. 22 (No. 10 among publics)
Programming language at No. 23 (No. 13 among publics)

The Department of Computer Science has 450 graduate students in its computer science M.S. and Ph.D. programs and nearly 150 graduate students in its data science and machine learning master’s programs run by the college’s Science Academy.

Because U.S. News doesn’t rank all graduate programs annually, other current honors for the College of Computer, Mathematical, and Natural Sciences include:

Atomic/molecular/optical specialty at No. 6
Quantum specialty at No. 9
Condensed matter specialty at No. 17
Applied math specialty at No. 15
Analysis specialty at No. 24
Earth Sciences at No. 27 (No. 16 among public institutions)
Chemistry at No. 46 (No. 27 among public institutions)
Biological Sciences at No. 68

The rankings are based on reputational surveys and widely used by prospective students when considering where to apply.

About the College of Computer, Mathematical, and Natural Sciences

The College of Computer, Mathematical, and Natural Sciences at the University of Maryland educates more than 8,000 future scientific leaders in its undergraduate and graduate programs each year. The college's 10 departments and six interdisciplinary research centers foster scientific discovery with annual sponsored research funding exceeding $250 million.

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Degree program overview.

The following information is provided as an outline of the doctoral degree program. For more details, including instructions on the various steps in the program, please refer to the Handbook.

Pre-PhD Program

Prior to the start of your first term, you will meet with an advisor to determine which courses are appropriate for you.

Course sequences at the 500 level are offered in:

Topology/Geometry.

Course sequences at the 600 level are offered in:

Real Analysis
Algebraic topology
Applied math (every other year)
Differential geometry (every other year)
Probability (every other year).

You must take sequences in three areas and pass two qualifying examinations. To be eligible to a take qualifying exam in a particular subject, you must complete the relevant 600-level course sequence. Depending upon when you take and complete your 600-level sequences, you may take the exams at the same time or in different years. The qualifying examination subject areas are:

Analysis or probability
Applied math
Geometry or topology.

After you complete sequences in three areas and pass two qualifying examinations, you will formally progress into the PhD Program.

PhD Program

Finding a PhD Advisor

After entering the PhD Program, you will take more advanced seminar courses and reading courses as you begin the process of finding a PhD advisor. A list of faculty research interests can be found here . You should choose a PhD advisor by the end of the academic year in which you pass the qualifying exams.

Advancement to Candidacy

To advance to doctoral candidacy and begin serious work on your dissertation, you must complete your language requirement and pass your comprehensive oral examination. To meet the language requirement you must demonstrate the ability to read mathematical material in either French, German or Russian. The oral exam will be based on a syllabus that you have written in consultation with your advisor, covering the basic material in your general area of interest. You must take this exam within two years of passing the qualifying exam.

Dissertation

Once you pass the oral exam, you will dedicate your time to completing your dissertation. You will earn your PhD when you successfully defend your dissertation to your PhD committee.

Department of Mathematics

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COMMENTS

Best Mathematics Graduate Programs
These are the best graduate-level math programs. Each school's score reflects its average rating on a scale from 1 (marginal) to 5 (outstanding), based on a survey of academics at peer institutions.
Top 10 Best PhD in Mathematics Programs [2024]
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. Units: 47.
Best PhDs in Mathematics
The best universities for mathematics PhDs are Harvard University, Massachusetts Institute of Technology, Princeton University, Stanford University, University of California, Berkeley, and Yale University. Other universities also have excellent PhD in Mathematics programs that we haven't mentioned in our list, like Johns Hopkins University ...
2024 Best Mathematics Doctor's Degree Schools
1. Massachusetts Institute of Technology. Cambridge, MA. 26 Annual Graduates. Massachusetts Institute of Technology is one of the finest schools in the country for getting a doctor's degree in mathematics. Located in the midsize city of Cambridge, MIT is a private not-for-profit school with a large student population.
2023-2024 Top Doctor of Mathematics and Statistics Graduate Programs
3 reviews. Master's Student: Best: - Incredible colleagues, many of whom are working professionals in the field, all of whom are passionate & come from diverse backgrounds & bring a wide variety of life/ professional experiences that enhance the overall experience -One of the few DEIJ degree programs offered worldwide -flexible options for ...
Guide To Graduate Study
Guide to Graduate Studies. The PhD Program. The Ph.D. program of the Harvard Department of Mathematics is designed to help motivated students develop their understanding and enjoyment of mathematics. Enjoyment and understanding of the subject, as well as enthusiasm in teaching it, are greater when one is actively thinking about mathematics in ...
AMS :: Find Graduate Programs
FGP Home. 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.
PhD Program
Current Course Requirements: To qualify for candidacy, the student must have successfully completed 27 units of Math graduate courses numbered between 200 and 297. Within the 27 units, students must satisfactorily complete a course sequence. This can be fulfilled in one of the following ways: Math 215A, B, & C: Algebraic Topology, Differential ...
QS World University Rankings for Mathematics 2023
Discover the highest ranked universities in Germany according to the QS World University Rankings®. Discover the top universities for studying psychology in the QS World University Rankings by Subject 2023 here. Discover the top 10 universities in London this year, based on the QS World University Rankings 2024.
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 ...
Best 120 Mathematics PhD Programmes in United States 2024
University of Maryland Baltimore County (UMBC) Baltimore Highlands, Maryland, United States. Applied Mathematics and Statistics. Colorado School of Mines. Golden, Colorado, United States. Electrical Engineering - Mathematical Sciences. University of Nevada, Las Vegas. Las Vegas, Nevada, United States.
Overview of the PhD Program
For specific information on the Applied Mathematics PhD program, see the navigation links to the right. What follows on this page is an overview of all Ph.D. programs at the School; additional information and guidance can be found on the Graduate Policies pages. ... 10 semester-long graduate courses, including at least 8 disciplinary.
Ph.D. Program Overview
Description. The graduate program in the field of mathematics at Cornell leads to the Ph.D. degree, which takes most students five to six years of graduate study to complete. One feature that makes the program at Cornell particularly attractive is the broad range of interests of the faculty. The department has outstanding groups in the areas of ...
Mathematics
Overview. The Department of Mathematics graduate program has minimal requirements and maximal research and educational opportunities. It differentiates itself from other top mathematics institutions in the U.S. in that the curriculum emphasizes, from the start, independent research. Our students are extremely motivated and come from a wide ...
Ph.D. Program
In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements. During the first year of the Ph.D. program: Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics. Pass the six-hour written Preliminary Examination covering calculus ...
graduate admissions
0. Roughly: good grades (3.8+ GPA) in difficult courses, good test scores (80+ percentile on math GRE subject test [not the regular GRE math, which you should get a ~perfect score on without studying]), strong research background and good letters corresponding to it. That will get you into schools in the top ~30.
Applied Mathematics
Applied Mathematics at the Harvard John A. Paulson School of Engineering is an interdisciplinary field that focuses on the creation and imaginative use of mathematical concepts to pose and solve problems over the entire gamut of the physical and biomedical sciences and engineering, and increasingly, the social sciences and humanities. Working ...
The Graduate Program
The Department of Mathematics offers Ph.D. programs in Mathematics and Applied Mathematics. The department also supports students in the Graduate Group in Logic and the Methodology of Science, an interdisciplinary doctoral program shared between the departments of Philosophy and Mathematics.At this time, we no longer offer a terminal Master's degree program.
Best Global Universities for Mathematics in the United States
India. Italy. Japan. Netherlands. See the US News rankings for Mathematics among the top universities in United States. Compare the academic programs at the world's best universities.
Graduate
Office: PMA 8.114. Office Hours: Friday 1.00-3.00pm. Email: [email protected]. The Graduate Advisor is a faculty member of the Mathematics Department who oversees the graduate program, especially its academic aspects. The Graduate Advisor is typically appointed Associate Chair of Graduate Education by the CNS.
'US News & World Report' releases latest graduate, professional program
Four of these programs received a top-10 ranking in this year's report, which will be released in two parts. Each year, U.S. News ranks professional school programs in a variety of disciplines, including business, education, engineering, law, medicine, nursing, and public health. Most rankings were published on April 9, but rankings for ...
U.S. News & World Report Ranks UH Graduate Programs Among Nation's Best
The University of Houston is once again proving that it is a powerhouse in graduate education, with 13 of its programs securing spots among the top 50 nationwide in the 2024 U.S. News & World Report graduate program rankings, released today. Three engineering programs maintain their top 50 rank pending the release of 2024 engineering rankings, which have been delayed. In total, UH has 17 ...
UNC-Chapel Hill graduate programs ranked among best in nation
Numerous UNC-Chapel Hill graduate programs received high rankings - 20 were among the top 10 in the nation in their respective categories - as part of U.S. News & World Report's "Best Graduate Schools" list. For the third time in a row (2016, 2020 and 2024), UNC Eshelman School of Pharmacy is the top pharmacy school in the U.S.
VCU receives 10 updated top-50 rankings from U.S. News & World Report
By VCU News staff. Virginia Commonwealth University received 10 top-50 rankings in the newly updated U.S. News & World Report graduate program rankings released today, bringing VCU's current total number of top 50 graduate program rankings by the publication, including online graduate programs, to 22.. VCU's newest rankings included six in the top 25 of their categories, and two - Nurse ...
UMD's Computer Science Graduate Program Holds Steady as Top 10 Public
The University of Maryland's computer science graduate program ranks No. 10 among the country's public institutions in the 2024 edition of U.S. News & World Report's "Best Graduate Schools." The program ranks 17th overall, the same as last year. UMD also ranks high in three computer science specialties:
Ph.D. in Mathematical Sciences
The Department of Mathematics & Computer Science at Rutgers University-Newark and the Department of Mathematics at New Jersey Institute of Technology offer a joint Ph.D. program in the Mathematical Sciences, ranked 74th in the country by US News and World Report.This is a rigorous program in mathematics consisting of extensive course work and original research in one of the department's many ...
Degree Program Overview
Dissertation. Once you pass the oral exam, you will dedicate your time to completing your dissertation. You will earn your PhD when you successfully defend your dissertation to your PhD committee. Department of Mathematics. 202 Fenton Hall 1021 E. 13th, Eugene, OR 97403. P: 541-346-4705.
UVA School of Education and Human Development Catapults into the Top 10
Breaking into the top 10 for the first time in more than two decades, the University of Virginia School of Education and Human Development landed at No. 8 in this year's U.S. News and World Report rankings of the best graduate schools of education in the country.

Top 10 Best PhD in Mathematics Programs

Best PhD in Mathematics Programs

Harvard University, Graduate School of Arts and Sciences

Brown University, Graduate School

The University of Pennsylvania, School of Arts & Sciences

Rochester Institute of Technology, School of Mathematical Sciences

Princeton University, The Graduate School

The University of Arizona, Department of Mathematics

Portland State University, Fariborz Maseeh Department of Mathematics & Statistics

Rice University, Wiess School of Natural Sciences

Florida Institute of Technology

What Do You Need to Get a PhD in Mathematics?

What to Consider When Choosing a Mathematics PhD Program

Why Get a Doctorate in Mathematics?

Common Jobs for Doctor of Mathematics Grads

Key Takeaways

PhD in Mathematics FAQs

How Much Does a Math PhD Cost?

Are Math PhDs in Demand?

Is a PhD in Mathematics Difficult?

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

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Best PhDs in Mathematics: In Brief

Mathematics PhD

Mathematics PhD Overview

Mathematics PhD Admission Requirements

Doctor of Philosophy or Doctor of Science Mathematics Degree

Doctor of Philosophy or Doctor of Science Mathematics Degree Overview

Doctor of Philosophy or Doctor of Science Mathematics Degree Admission Requirements

Applied and Computational Math PhD

Applied and Computational Math PhD Overview

Applied and Computational Math PhD Admission Requirements

Mathematical Modeling PhD

Mathematical Modeling PhD Overview

Mathematical Modeling PhD Admission Requirements

Mathematics PhD Program

Mathematics PhD Program Overview

Mathematics PhD Program Admission Requirements

PhD Program in Applied Mathematics

PhD Program in Applied Mathematics Overview

PhD Program in Applied Mathematics Admission Requirements

Applied & Interdisciplinary Mathematics PhD

Applied & Interdisciplinary Mathematics PhD Overview

Applied & Interdisciplinary Mathematics PhD Admission Requirements

Mathematics, PhD

Mathematics, PhD Overview

Mathematics, PhD Admission Requirements

PhD in Applied Mathematics

PhD in Applied Mathematics Overview

PhD in Applied Mathematics Admission Requirements

Can You Get a PhD in Mathematics Online?

Best Online PhD Programs in Mathematics

Is a PhD in Mathematics Hard?

How Much Does It Cost to Get a PhD in Mathematics?

How to Pay for a PhD in Mathematics: PhD Funding Options

Best Online Master’s Degrees

What Is the Difference Between a Mathematics Master’s Degree and PhD?

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Getting a PhD in Mathematics: Mathematics PhD Coursework

Mathematical Analysis

Differential Topology

Discrete Mathematics