Cryptography and Coding Theory including Algebraic, Combinatorial and Probabilistic Techniques
Fluid Dynamics including Euler and Navier-Stokes Equations, Turbulence, Chaotic Systems, Geophysical Flows, Chaotic Systems
Mathematical Biology including Genomics, Computational Biology, Neural Networks
Mathematical Finance including related Stochastic Control and Game Theory, Optimal Portfolio Management, Optimal Contracting Theory
Modeling and Control including Identification and Control of Infinite Dimensional or Distributed Parameter Systems, Stochastic Adaptive Control
Probability and Statistics including Random Dynamical Systems, Biostatistics, Probabilistic combinatorics
Statistics of Random Processes including Analytical and Numerical Tools using Polynomial Chaos, Statistical Inference, Applications to Nonlinear Filtering of Diffusion Processes