Faculty conduct research in a wide range of topics in the mathematical sciences, from core areas to applications. In addition to classical subjects such as algebra and combinatorics; discrete mathematics and geometry; real, complex, harmonic, and functional analysis; ordinary and partial differential equations; mathematical physics and differential geometry; numerical analysis; and topology, our program includes contemporary areas of research. They include such areas as mathematical biology and computational neuroscience, nonlinear partial differential equations, large-scale scientific computing and supercomputing, computational fluid dynamics, turbulence, porous media modeling and simulation, computational geometry, and research that reflects exciting developments at the confluence of discrete mathematics, algebra, and geometry.
Graduate students are afforded the opportunity to focus their studies in a chosen area of mathematics and to participate in the exciting enterprise of conducting original research. Because of the breadth of the faculty's interests, it is possible to carry out investigations in many fields of pure and applied mathematics. In addition to traditional subjects, there are more contemporary areas of research that are part of the program. They include computational mechanics, large-scale scientific computing and supercomputing, combustion, porous media flow, and the modeling of biological, ecological, and financial processes.
Undergraduate students are provided a rich learning and discovery environment that includes many opportunities to take part in mentoring and research activities in partnership with faculty members.