My area of specialization is theoretical condensed matter physics with emphasis on statistical mechanics. Some of the problems I am working on at present are listed below.
Supercooled liquids and the glass transition: Growing static and dynamic length scales near the glass transition; finite-size scaling of dynamic susceptibilities and relaxation times in glass-forming liquids.
Superconductivity and superfluidity: Ginzburg-Landau theory for superconductivity and unusual normal-state behavior in cuprate superconductors; “supersolid” behavior in solid 4He from superfluidity along dislocation lines and grain boundaries.
Dynamics of nonequilibrium systems: First-passage statistics, such as persistence and survival probabilities, in surface growth and fluctuations; rheological chaos in sheared nematogenic fluids.
Physics at the nanoscale: Dynamics of water and other small molecules confined in nanoscale cavities; kinetics of growth of nanocrystals of semiconducting materials in the solution route of synthesis; mechanical properties of nanostructures.