The graduate program offers a diverse set of research programs, including algebra, analysis, applied mathematics, combinatorics, differential geometry, geometric topology, harmonic analysis, mathematical biology, mathematical physics, numerical analysis, partial differential equations, optimization, probability, quantum computation, and representation theory. Ample student support is available from a variety of sources. Nearly 90 percent of the faculty members have grant support from one or more federal agencies, including the National Science Foundation, the National Institutes of Health, and the departments of Defense and Energy. With a vibrant research program, the Department of Mathematics has numerous weekly seminars in core areas of pure and applied mathematics, including a colloquium and seminars in applied math, discrete mathematics, geometry/topology, mathematical physics and optimization, and a student-run seminar. The program is small enough to provide students with the personal attention necessary to meet their desired goal. However, the program also offers the advantages of a large graduate program, such as a broad choice of graduate courses, research areas, potential dissertation supervisors, major library resources, computer facilities, and support.