Partial differential equations: analysis of fluid equations, elastic shells, models for biology and genetics; homogenization, renormalization, asymptotic analysis, Riemannian geometry.
Scientific computing: numerical methods, parallel computing codes, high-performance computing.
Probability: systems with infinitely many interacting particles, ergodic theory.
Dynamic systems: control theory, topology.
Statistics: decision theory, Bayesian analysis, parametric and non-parametric statistics.
