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PhD in Mathematics

The PhD in Mathematics program trains students for careers in academia or industry. The program provides training in mathematics and its applications to a broad range of disciplines. It provides students the opportunity to work with faculty on research over a wide range of theoretical and applied topics. To enter, students need a bachelor's degree in mathematics or in a closely related discipline.

Learning Outcomes

Ability to conduct original research in mathematics.

Ability to present research-level mathematics in a formal lecture.

Ability to teach mathematics to undergraduates.

Course Requirements

Sixteen term courses (64 units) are required. These shall provide a reasonable breadth of background in mathematics and mastery of the basic tools relevant to the research area selected.

Comprehensive Examination

Students must pass this examination by the end of their second year.

PhD Qualifying Examination

Students must pass this examination by the end of their third year.

More detailed information is provided upon admission to the PhD program.

Dissertation and Final Oral Examination

Candidates shall demonstrate their abilities for independent study in a dissertation representing original research or creative scholarship. A prospectus for the dissertation must be completed and approved by the readers, the Director of Graduate Studies, and the Department Chair/Program Director. Candidates must undergo a final oral examination in which they defend their dissertation as a valuable contribution to knowledge in their fields and demonstrate a mastery of their fields of specialization in relation to their dissertation. All portions of the dissertation and final oral examination must be completed as outlined in the GRS General Requirements for the Doctor of Philosophy Degree.

A PhD student leaving the program will obtain an MA, provided they have completed eight graduate courses (32 units) and passed the comprehensive exam.