Program Synopsis and Training
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.
Contact
Prospective students:grad-info@math.osu.edu
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 emailmath@osu.edu. 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.
