**Nonequilibrium Statistical Physics**

- Dynamics in systems far from equilibrium: Domain growth problems, Persistence and First-passage problems in many-body systems, Stochastic processes.
- Nonequilibrium Steady-state problems : Fluctuating interfaces, Asymmetric exclusion process, Zero-range process, Mass transport models, self-organized criticality in sandpile models.

**Functionals of Brownian Motion**

Statistical properties and their applications in physics and computer science.

**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.

**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.

**Random Matrix Theory and its Applications**

Applications of random matrix theory in cold atom systems, mesoscopic transport, linear statistics, Tracy-Widom distribution and large deviations of extreme eigenvalues, Yang-Mills gauge theory, third order phase transitions etc.