Program Overview
The Ph.D. in Mathematics program prepares students to advance mathematical knowledge, apply it to real-world problems, and educate others. Students tailor their studies to their interests, with research areas ranging from algebra to statistics. The program emphasizes original research, with students working closely with faculty advisors to produce a dissertation demonstrating their expertise and ability to contribute to the field. Graduates typically pursue careers in academia, teaching and conducting research in Mathematics.
Program Outline
Degree Overview:
Overview:
The Ph.D. in Mathematics prepares students to advance mathematical knowledge, apply it to societal and scientific problems, and educate others in mathematical methods and reasoning. The program provides students with the opportunity to tailor their study plans to their individual goals and interests, with a broad range of research areas available, including algebra, analysis, coding theory, computational harmonic analysis, partial and ordinary differential equations, dynamical systems, financial mathematics, mathematical biology, numerical analysis, optimal control theory, set theory, statistics, stochastic processes, and topology.
Objectives:
- Extend the frontier of mathematical knowledge through quality research with original results.
- Apply a range of mathematical tools to problems within mathematics and other disciplines.
- Effectively disseminate mathematical knowledge and understanding through publications, seminars, classroom teaching, or other means.
Program Structure:
The first phase of doctoral education is to develop a deep understanding of a few subjects and a broader understanding of a range of subjects. This is achieved through coursework and written examinations. Exceptionally well-prepared students can attempt the examinations early and spend less time on coursework. The second phase is to become an expert on a specific problem and produce new mathematical results suitable for a dissertation. This is done one-on-one with a faculty advisor or in a small research group. The dissertation must demonstrate the ability to understand, organize, improve, and present mathematical ideas of outstanding importance, depth, or interest.
Teaching:
Most doctoral students are trained and financially supported as teaching assistants and have the opportunity to teach classes as the primary instructor.
Careers:
Most graduates work in academia, teaching and/or doing research in Mathematics.