Ph.D. Program in Mathematics

A strong path to meaningful mathematics research

The Ph.D. program in the Department of Mathematics allows students to undertake specialized study and independent research in mathematics. Areas of study represented by our graduate faculty include analysis, applied mathematics, differential geometry, financial and actuarial mathematics, mathematical biology, mathematics education, number theory, numerical analysis, probability and topology. Students can enter the Ph.D. program after demonstrating mathematical proficiency by passing the qualifying exams and finding a Ph.D. advisor from among the ranks of the faculty in mathematics. Students who enter the mathematics graduate program without a prior graduate degree are expected to complete the Ph.D. degree in six years. Students who enter with a prior master's degree typically complete the Ph.D. in five years.

Doctorate program Learning outcomes

The mathematics PhD program learning outcomes are:

1. Produce and defend an original contribution to knowledge.
2. Demonstrate mastery of subject material.
3. Communicate mathematical ideas, results, context and background effectively and professionally in written and oral form.
4. Conduct scholarly or professional activities in an ethical manner.

Learning Outcome 1 is evidenced by the writing and defense of a thesis involving significant original research.

Learning Outcome 2 is evidenced by quality of performance in coursework, and on written and oral examinations in mathematics.