Mathematical modeling, fluid mechanics
Algebraic topology, model theory, image processing
Acoustic and electromagnetic wave propagation in terrestrial environments, numerical solution of PDE's, parabolic approximation methods
Algorithms for medical imaging
Nonlinear Differential Equations, Linear Stability Analysis, Galaxy Dynamics, MHD, Numerical Multidimensional Simulations
Discrete mathematics
History of mathematics
Applied mathematics, combustion theory
Statistics, bioinformatics
Probability, mathematical statistics, neural networks & pattern recognition
Analysis
Harmonic & complex analysis, operator theory
Convex geometry, geometric tomography, integral geometry, combinatorics
Discrete mathematics, abstract algebra, computing with Mathematica
Applied mathematics, fluids
Convergence rate of markov chains, combinatorics, isoperimetric inequalities
Statistics
Ergodic theory, dynamical systems, information theory, coding, stochastic processes
Combinatorics, probability and dynamical systems
Experimental design, statistical modeling, data analysis, mathematics of weaving
Discrete and Computational Geometry, Geometry of Numbers, Combinatorics, Stochastic Geometry
Partial differential equations, control of distributed parameter systems, hydrodynamics
Mathematics education, integration of technology for teachers and students