The goal of our Ph.D. program is to prepare students to carry out significant, original research and to write a dissertation that advances knowledge in mathematics. Along the way, students can also earn an M.S. in Mathematics.

The first two years are centered on coursework in the core areas of mathematics. Students take exams based on their first-year courses, known as the preliminary examinations, which are given at the end of each semester and again the following August for students who need another attempt. Students who successfully complete the preliminary requirement move on to their second-year, or qualifying, coursework and exams. Incoming students can also place out of the first-year courses by passing the preliminary exams in the August before their first year.

Choosing a research area and advisor is one of the most important parts of this stage, and faculty are glad to talk with incoming students about their research and potential opportunities. Many students also find it valuable to talk with current graduate students in a research group to get a fuller picture of what working together would be like.

The qualifying examinations are based on second-year coursework, and students choose their qualifying exam areas together with a potential advisor, reflecting the direction they hope to take their research. Students typically continue with reading courses in their second and third years to solidify their choice of dissertation advisor. Once a student and advisor agree to work together, they formalize the relationship with the Associate Chair for Graduate Studies.

Once coursework and exams are behind them, students turn their full attention to independent research and writing their dissertation. Most students complete the program in about six years, though students do finish in less time, especially if they are entering with an M.S.

The dissertation defense is a public seminar in which the student presents their research, followed by questions from the audience and the examination committee. Students learn the outcome of their defense immediately afterward. Once any required revisions are complete, the dissertation is submitted to the University, completing the requirements for the Ph.D. in Mathematics.

For complete details on course requirements, examination policies, and degree timelines, see the Graduate Course Catalog (see sidebar link). You may also be interested in the answers to some Frequently Asked Questions.