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

Tensor decompositions and applications, eigenvalue prblem

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