# Areas of Research

The internationally known faculty of around fifty (50) professors work in areas of applied mathematics, pure mathematics, and statistics; some pursue interdisciplinary mathematics. Specifically, areas studied (Click

here for alphabetical listing of disciplines and faculty who teach in each one) include

- algebra (representation theory of groups and Lie algebras, abelian groups, homological algebra, invariant theory, commutative rings);

- analysis (real and complex analysis, harmonic analysis, approximation theory, wavelets);

- discrete mathematics (graph theory, design theory, coding theory);

- ODEs (nonlinear oscillators, neural networks, stochastic equations, equations in Banach spaces)

- PDEs (elliptic and parabolic equations, reaction-diffusion systems, applications in climate modeling, biology, and fluid dynamics)

- dynamical systems (Continuous and Differentiable Dynamical Systems, monotone and skew-product flows, complex dynamics, symbolic and lattice dynamics)

- fluid dynamics (Navier-Stokes equations, magnetohydrodynamics, applications in materials processing);

- linear and multilinear algebra;

- numerical analysis and computation (numerical and computational linear algebra, numerical and computational PDEs, finite-element and finite-difference methods, applications in fluid dynamics, elasticity, chemistry, geology, and biology)

- probability and stochastic processes

- set theory (including logic)

- topology (continuum theory, set-theoretic topology, algebraic topology). For additional information about topology (conferences, Topology Proceedings--published here and Canada--etc., click here).

Last updated:
03/29/2013