At UConn, our Ph.D. in Mathematics challenges driven thinkers to master both the theory and tools of modern mathematics, preparing them to lead in research, academia, or industry. With rigorous coursework, specialized prelims, and one-on-one mentorship, you’ll dive deep into fields ranging from algebra, analysis, geometry, topology, probability, applied mathematics, and actuarial science. Our program combines flexibility and structure: early core requirements, early advisor and committee formation, and a clear path toward dissertation and defense. If you’re ready to push boundaries, solve real challenges, and contribute original knowledge, this is where your journey begins.

Ph.D. students choose one of three concentrations in which to conduct research and write their dissertation:

• pure mathematics
• applied mathematics
• actuarial science

Our faculty research spans all major areas of mathematics, including algebra and number theory, analysis, geometry and topology, probability, partial differential equations, numerical analysis, mathematical logic, mathematical finance, and mathematics education. Students work closely with advisors to develop research that advances knowledge in these fields.

The actuarial science concentration is a distinctive option—one of the few such Ph.D. tracks in the country, and the only one in New England. Supported by the Janet and Mark L. Goldenson Research Center for Actuarial Science, this concentration blends rigorous theory with opportunities to investigate emerging challenges in risk, insurance, and finance. Designed for academic and research careers, it provides a unique setting where doctoral students engage with both faculty and practitioners on problems of real-world importance.

Students in the PhD program in Mathematics complete 45 credits of graduate coursework at the 5000 level or above, including 15 dissertation research credits (GRAD 6950). Those entering with a UConn Master’s degree in Mathematics complete 30 credits, with the same dissertation requirement. In some cases, MATH 5850 (Graduate Field Study Internship) may be incorporated into the Plan of Study and tied to the student’s research.

Early in the program, students focus on building a strong foundation in mathematics through coursework and examinations. They complete two core courses and pass three preliminary exams in approved areas, which together provide both breadth and depth in preparation for advanced study.

Once this stage is complete, attention turns to research. Students select a thesis advisor (a.k.a., Major Advisor) and form an an advisory committee, which typically consists of their Major Advisor plus two other faculty members serving as Associate Advisors. (Some students are co-advised by two Major Advisors, in which case they only need one Associate Advisor.) With this guidance in place, students for the General (Oral) Examination. The exam consists of a public presentation on a broad area related to the intended dissertation, followed by a private Q&A session with the advisory committee. The public talk emphasizes general knowledge rather than original research, while the private session allows for deeper discussion of the student’s chosen field.

After the oral exam, students concentrate fully on dissertation research. They submit a Dissertation Proposal and a final Plan of Study, then write, defend, and file their dissertation following the Graduate School's specifications. The final steps include completing required forms, surveys, and diploma information, and applying for graduation in the last semester of study.