(a) Dynamics in systems far from equilibrium: Domain growth problems, Persistence and First-passage problems in many-body systems, Stochastic processes.
(b) Nonequilibrium Steady-state problems: Fluctuating interfaces, Asymmetric exclusion process, Zero-range process, Mass transport models, self-organized criticality in sandpile models.
(2) Functionals of Brownian Motion: Statistical properties and their applications in physics and computer science.
(3) Sorting and Search Algorithms in Computer Science: Understanding the asymptotic properties of random structures such as search trees in computer science using methods of statistical physics.
(4) Extreme Value Statistics: The probability distribution of the maximum of a set of CORRELATED random variables with applications in Random Matrices, Fluctuating Interfaces, Longest Increasing Subsequence Problem and a class of Sequence Matching problems in biology.