Research AreasApplied Analysis: Calculus of variations; Homogenization; Nonlinear problems related to materials; Ordinary and Partial Differential equations; Oscillations and microstructure.
Computational Mathematics and Scientific Computing: Computational Electromagnetics; Computational Mechanics; Optimization; Numerical Modeling and Experimental Mathematics; Ordinary and Partial Differential Equations. Continuum Mechanics: Mathematical foundations; Phase transitions; Elastic, Plastic, and Viscoelastic Flows; Thermodynamics.
Discrete Mathematics and Operations Research: Algebraic methods; Extremal set theory; Graph theory and Random Graphs; Matroids; Probabilistic method; Ramsey theory; Interior Point Methods for Linear Programming.
Logic: Automated theorem proving; Lambda-calculus and combinatory logic; Model theory; Semantics of programming languages; Set theory; Set Theoretic Algebra.
Stochastic Analysis: Diffusion approximations of queueing systems; Mathematical theory of finance; Stochastic control; Stochastic differential equations; Viscosity solutions of Hamilton-Jacobi-Bellman equations.
Probability Theory: random fields, phase transitions, critical phenomena, large deviations. |