Design and analysis of experiments, Computer experiments, High-dimensional data analysis, Applied statistics and probability

Lie Theory, Dynamics of Group Actions

Three dimensional geometric topology, knot invariants, geometric group theory

Algebraic geometry

Mathematics: Nonlinear Analysis, Geometric Analysis, Partial Differential Equations, Discrete Mathematics

Discrete-time Markov chains in particular, interacting particle systems, random walk on trees and in a random environment, percolation.

Mathematical finance, asset pricing, market microstructure models

Differential geometry, Mathematical physics

Bioinformatics, Computational Biology, Biostatistics

Contact topology; low dimensional topology

Differential topology, algebraic topology, gauge theory, VLSI design automation

Geometric Analysis, including Harmonic maps, Harmonic functions on nonpositive curved manifold, etc.

Statistics: Reliability, Survival analysis, Gini index, Spatio-temporal data analysis

Permutation group, algebra combination theory, algebraic graph theory

Cryptography and information security, Algebraic combinatorics