Department faculty conduct research on a wide range of topics at the frontiers of mathematics and its applications. Faculty are eager to engage postdoctoral fellows, graduate and undergraduate students, and departmental visitors as partners in these exciting projects. Many projects involve collaborations with experimentalists, clinicians, and other scientists and their data, including collaborators from nearby UPMC medical facilities, other departments at Pitt, and other universities. Departmental research efforts are supported a range of seminars and by the activities of our Mathematics Research Center, which hosts multiple annual workshops on topics of recent exciting research developments and opportunities for progress.
Research areas within the department span the mathematical sciences and encompass a variety of applications, including subjects such as algebraic geometry; number theory; the rigorous use of computers in mathematics; real, complex, harmonic, and functional analysis; nonlinear partial differential equations; topology; dynamical systems; material science; mathematical biology and computational neuroscience; mathematical physics and differential geometry; mathematical finance; and large-scale scientific computing and supercomputing, computational fluid dynamics, turbulence, porous media modeling and simulation, and computational geometry.
Mathematics Research Center
The MRC research activities encompass a broad range of areas, including algebra, combinatorics, geometry, topology, analysis, applied analysis, mathematical biology, mathematical finance, numerical analysis, and scientific computing. Ongoing activities include semester themes, distinguished lecture series, workshops, mini-conferences, research seminars, a visitor program, and a postdoctoral program.