Areas of Research

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

biomathematics (population dynamics, pattern formation, tumor growth models);

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

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

differential equations

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 (monotone and skew-product flows, complex dynamics, symbolic and lattice dynamics);

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

geometry;

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)

statistics;

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