Doctor of Philosophy (PhD) | Department of Mathematics (2024)

Program Synopsis and Training

Doctor of Philosophy (PhD) | Department of Mathematics (1)

The Doctor of Philosophy (PhD) in mathematics is the highest degree offered by our program. Graduates will have demonstrated their ability to conduct independent scientific research and contribute new mathematical knowledge and scholarship in their area of specialization. They will be well-supported and well prepared for research and faculty positions at academic institutions anywhere in the world. Owing to their independence, analytic abilities, and proven tenacity, our PhD graduates are also sought after by private and government employers.

Our PhD program offers two tracks, one for Theoretical Mathematics and one for Applied Mathematics. The tracks differ only in the course andqualifying requirements during the first two years. Applicants are required to decide on one of the tracks and applications will be evaluated subject to respective criteria described below.

Once students have passed their Qualifying Requirements, the two tracks merge and there is no distinction in later examinations and research opportunities. In particular, the candidacy exam for both tracks consists of a research proposal, the graduate faculty available for advising is the same, and the final degree and thesis defense are independent of the initially chosen track.

Qualifying Requirements by Track

The qualifying requirements for the theoretical track are fulfilled by passing our Abstract Algebra course sequence (Math 6111, Math 6112) andour Real Analysis course sequence (Math 6211, Math 6212), each with at least an A-, orby passing a respective examination.

The qualifying requirements for the applied track combine a mandatory Scientific Computingcourse (Math 6601), one of the algebra or analysis courses, and three additional courses chosen fromMath 6602, Math 6411,Math 6451, and the courses comprising the algebra and analysis sequences.

The breadth requirements in the applied track are more flexible than in the theoretical track, but also include a mandatory graduate course in a non-math STEM department from an approved list.

You can find more information about our PhD program requirement here.

Opportunities & Outcomes

The research opportunities and academic outcomes of our doctoral program are described in detail in the Graduate Program Prospectus[pdf].

Our department has about 80 active graduate faculty on the Columbus and regional campuses. Virtually every area of mathematics is represented in our program, with a sampling displayed below.

  • Commutative, Non-commutative, & Quantum Algebra
  • Analytic, Algebraic, Computational Number Theory
  • Algebraic Geometry, Tropical Geometry
  • Applied Mathematics, Mathematical Physics
  • Real and Complex Analysis
  • Functional Analysis, Operator Algebras
  • Combinatorics and Graph Theory
  • Differential Geometry
  • Dynamical Systems and Ergodic Theory
  • Financial and Actuarial Mathematics
  • Logic and Foundations
  • Probability Theory, Statistical Mechanics
  • Mathematical Biology
  • Ordinary and Partial Differential Equations
  • Representation theory
  • Scientific Computing
  • Topology, Topological Data Analysis

See also ourApplied Mathematics Topics List[pdf].

Our program offers many support opportunities without teaching duties as well, to allow more time for scientific endeavors. These opportunities include university fellowships, external funding, and departmental fellowships and special assignments.See theFinancial Supportpage for more details.

The median time to degree completion in our program is below six years but also varies significantly among our students, with as little as four years for students entering with substantial prior preparations. Funding is guaranteed for six years and can be extended to seven years with advisor support and the permission of the Graduate Studies Committee.

Most of our graduates continue their careers in academia. Post-doctoral placements in the last two years include, for example, UCLA, Stanford, ETH-Zürich, Brown University, University of Michigan, Northwestern University, University of Vienna,EPF Lausanne, Free University at Berlin, Purdue University, and University of Utah. In recent years our graduates also went to Princeton University, IAS, University of Chicago, Yale University, University of Michigan, Cal-Tech, Northwestern University, University of Texas, Duke University, SUNY Stony Brook, Purdue University, University of North Carolina - Chapel Hill, and Indiana University. Recent non-academic placements include Google, Facebook, Amazon, NSA, and prestigious financial institutions.

Students also have access to training and networking opportunities that prepare them better for careers in private industry and teaching - for example, through the Erdős Institute- and are regularly offered highly competitive positions in the industry.

Nearly half of the graduate population consists of domestic students coming from both larger universities and smaller liberal arts colleges with a solid math curriculum.And as a program group member of the National Math Alliance, we arededicated to enhancing diversity in our program and the scientific community. The International students in our program come from all parts of the world with a wide variety of educational backgrounds.



Graduate Office
Department of Mathematics
The Ohio State University
231 W 18th Avenue(MA 102)
Columbus, Ohio 43210
United States of America

Phone: (614) 292-6274
Fax: (614) 292-1479

[pdf] -Some links on this page are to .pdf files.If you need these files in a more accessible format, please PDF files require the use of Adobe Acrobat Reader software to open them. If you do not have Reader, you may use the following link to Adobe to download it for free at:Adobe Acrobat Reader.

Doctor of Philosophy (PhD) | Department of Mathematics (2024)


What is Doctor of Philosophy degree in Mathematics? ›

Degree Description:

This degree is awarded in recognition of distinctive scholarship and original contributions to knowledge in Mathematics. The PhD program is especially designed to prepare the student for teaching at the graduate level and doing mathematical research in academic, industrial and business settings.

Is a Doctor of Philosophy the same as a PhD? ›

What does PhD stand for? A PhD is a Doctor of Philosophy. In answer to the question, “Is a PhD a doctor,” the answer is yes. Both a PhD and a professional doctorate like an EdD earn you the title of “doctor.” But there are differences between the types of doctoral degrees.

What is Doctor of Philosophy in mathematical science? ›

The PhD in Mathematical Sciences is a broad reference to the PhDs offered by the Institute of Mathematical Sciences in specific areas, which include the following: Pure Mathematics. Statistics. Biomathematics.

Is Doctor of Philosophy the highest degree? ›

A PhD is a doctoral research degree and the highest level of academic qualification you can achieve. The degree normally takes between three and four years of full-time work towards a thesis offering an original contribution to your subject.

How much does a PhD in Mathematics make? ›

Applied Mathematics Phd Salary
Annual SalaryMonthly Pay
Top Earners$85,000$7,083
75th Percentile$70,000$5,833
25th Percentile$45,000$3,750

What is Doctor of Philosophy in pure math? ›

This course is designed to provide students with a broad training in mathematics useful in analysis and solution of problems in mathematical sciences.

Is a PhD more prestigious than an EdD? ›

What is a PhD in Education? A PhD is a doctorate in philosophy. Historically, it was the first degree offered to students in the field of education and is perhaps more well-known than the EdD. The PhD in Education is ideal for students who are excited by a career in research.

Can anyone with a PhD be called Dr? ›

A directive baked into California's Medical Practice Act makes it a crime for any healthcare professional other than licensed physicians or surgeons to call themselves “doctor” or put “Dr.” on signs, business cards, or letterhead, or in ads. Anyone caught violating this prohibition faces fines and loss of license.

Should I write PhD or Doctor of Philosophy? ›

In the modern era, the abbreviation "PhD" has become the more commonly used form to represent the title of "Doctor of Philosophy." It is widely recognized and understood across academic and professional contexts.

How many years is a PhD in math? ›

program is five to six years. Requirement (1) normally includes basic courses in algebra, analysis, and topology. Students typically complete the eight-course requirement by the end of their third year.

What is a Doctorate in math called? ›

Doctorate in Mathematics (PhD)

How many math phDs are there? ›

Number of doctoral degrees earned in the United States in 2020/21, by field of research
CharacteristicNumber of degrees
Computer and information sciences2,572
Theology and religious vocations2,100
Mathematics and statistics1,958
9 more rows
May 22, 2024

Why are all Phds doctors of Philosophy? ›

In Germany, the name of the doctorate was adapted after the philosophy faculty started being split up − e.g. Dr. rer. nat. for doctorates in the faculty of natural sciences − but in most of the English-speaking world the name "Doctor of Philosophy" was retained for research doctorates in all disciplines.

How hard is a Doctor of Philosophy? ›

The PhD is difficult because it's a lengthy process that involves completing and writing up an advanced research project that must sustain rigorous peer review from academic experts. By the end, you will need to demonstrate that you're a world-leading expert on your topic.

Is a DSc better than a PhD? ›

The academic research ScD (or DSc) is considered by both the United States Department of Education and the National Science Foundation to be equivalent to the more commonly awarded PhD and not higher than a PhD as is the case in some European countries.

What is a PhD degree in Mathematics? ›

PhD in Mathematics

The PhD program in Math is designed to train academic mathematicians, in a wide range of subdisciplines, and mathematical research scientists working in government or the private sector. By far, most of the PhD students in the School are enrolled in this program.

What can I do with a PhD in math? ›

Mathematics PhD jobs
  • Applied Research Mathematician / Mathematical Statistician. ...
  • Data Scientist. ...
  • Sr. ...
  • Data Science Technical Fellow. ...
  • Senior Performance Software Engineer, Deep Learning Libraries. ...
  • Strengthen your profile. ...
  • Distinguished Engineer, Generative AI Systems (Remote-Eligible) ...
  • XTY Labs - AI Residency.

What job does a Doctor of Philosophy do? ›

Earning a philosophy degree can open up endless career opportunities in almost every field. Positions in education, law, and the clergy are common for philosophy degree holders, but graduates who enter the fields of health care, business, marketing, and even financial services are not unusual.

What does a Doctor of Philosophy in education do? ›

As the highest degree you can receive in the field, the PhD in education qualifies you primarily for research and teaching positions. Students learn to identify gaps in existing research, contextually interpret relevant literature for posing new hypotheses, and produce new original research.

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