The Department, Research Interests of the Faculty
Our department is a close-knit one, featuring many seminars in which both faculty and graduate students participate. In order to discuss what we do, it makes sense to distinguish between a "core area", in which the faculty has already done substantial research, and a "focus area" which may greatly influence the kind of core research which is done and which may eventually become a core area. Needless to say, the boundaries between these concepts are very fluid.
Core areas are:
- Differential Equations and Mathematical Physics
- Differential Geometry and Geometric Analysis
- Dynamical Systems and Ergodic Theory
- Numerical Analysis
- Probability and Statistics
- Topology (especially continuum theory)
Focus areas include:
- Inverse Problems
- Mathematical Modeling
- Mathematical Biology
Each doctoral student learns a fairly broad spectrum of pure and applied mathematics, and also takes an outside minor relating her or his area of interest to an applied area such as computer science or physics. The department has extensive outside grant support, funding research and doctoral work. Students on fellowships have a reduced service load, allowing for a stronger focus on research. They also have funds available for travel to conferences and to buy books relating to their research.
Ph.D. students can expect to have interaction not only with our faculty but with the greater mathematical world. We encourage attendance at professional meetings, and also encourage Ph.D. students to interact with faculty at other universities across the US and abroad.
There are regular seminars in which faculty, graduate students and visitors frequently share their knowledge on latest developments. Students are urged to become involved in these seminars as soon as possible. Our faculty is quite active in research, publishing widely and lecturing nationally and internationally. We try to encourage an atmosphere wherein mathematics is of central importance and is discussed openly and often. We regard graduate students as companions on our mathematical journey; each student is important to us.