Bioinformatics and Computational Biology, particularly: Computational genomics, Metagenomics, Bacterial genome evolution, Gene finding, Interpreting a genome (human or otherwise), Plant genomics, Problems in human genetics and disease gene prediction
Finite groups and finite projective planes, structure of finite groups of Lie Type and the other non-abelian simple groups, structure of finite permutation groups with prescribed constraints on the associated permutation action, and the structure of collineation groups of finite translation planes
Complex Lie algebras: finite dimensional semisimple Lie algebras, and infinite dimensional Lie algebras of vector fields such as the Virasoro Lie algebra
Probability and statistical modeling; optimal resource allocation; decision analysis applications; applications; generation of random probability measures and their applications
Number Theory (discontinous groups and automorphic forms), in particular: Jacobi forms, Siegel modular forms, Maass forms, mock theta functions and related objects
Transfer credit, Math placement, Testing, Prereq checks and student schedule adjustments, Freshman Orientation, TAMS placement tests, Math Lab Assistance, Undergraduate program documents
Statistical Theory for Algorithms; Mathematical Finance and Econometrics; ROC Curve and Surface Analysis; Bioinformatics; Signal and Image Processing; Time Series Analysis; Nonparametric Estimation and Hypothesis Testing
Conformal and holomorphic dynamical systems of one and several variables;Dynamics of transcendental entire,meromorphic functions;Ergodic theory;Iterated function systems;Thermodynamic Formalism,Lattice Gases and Statistical Physics;Random Dynamical Systems;Fractal Geometry;Kleinian groups