A minimum of 135 quarter hours (see details below) beyond the BA or BS degree; completion of a written dissertation that makes a significant contribution to the research literature in mathematics; completion of a tool requirement. Although a masters degree is not a prerequisite for acceptance into the Ph.D. program, each student must have completed a masters degree in mathematics before completing 80 quarter hours of the Ph.D. program.
Of the 135 quarter hours, at least 36 must be at the 4000 level. Up to 35 credits may be taken in other relevant disciplines, as approved by the Mathematics Department Graduate Committee. Courses should be chosen in consultation with, and are subject to the approval of, the student's advisor. (See the catalog of mathematics courses.)
See our admission webpage.
By the time a student has completed 80 quarter hours of graduate credit, he or she should have successfully passed a written qualifying examination over three topics from the following list. One of the examinations must be in real analysis.
For more information, see the qualifying exams page.
After the dissertation has been completed, the student must defend it in a final examination, as specified by the Office of Graduate Studies.
It is strongly recommended that students satisfy their tool requirement by demonstrating an understanding of, and ability to use, a modern computer typesetting system. Other options include reading competency in two languages selected from French, German, and Russian; a series of outside courses in another discipline; or significant laboratory experience involving mathematics.
If you are preparing your dissertation in LATeX, you can download the style file and a template. (The files are based on the Princeton template, modified by Aditya Nagrath.)