Overview of the Ph.D. Program
The Ph.D. program is designed for students who are interested in performing high-level mathematical research. Incoming Ph.D. students are expected to pass qualifying examinations by the beginning of their second year in the Ph.D. program. The system of qualifying examinations is explained in details here. After that, the Ph.D. student selects a thesis adviser and forms a doctoral committee. The doctoral committee administers the comprehensive examination and offers counsel to the student as his or her research progresses. The crucial requirement for the Ph.D. degree is that the student must complete a doctoral thesis consisting of high-quality, original research in some area of mathematics.