The focus of my research is on the development of analytical, computational and statistical tools for the study of multiscale stochastic systems. I am also interested in applications to molecular dynamics, atmosphere/ocean science, statistical mechanics, solid state physics, fluid mechanics. Current research projects include the following.    



·       Parameter Estimation for Multiscale diffusions.

·       Numerical methods for stochastic PDEs with multiple scales.

·    Multiscale modelling and simulations. 

·    Non-equilibrium statistical mechanics.

·    Coarse-graining/mode reduction for PDEs and SDEs.

·    Molecular Dynamics.

·    Time dependent density functional theory. 

·     Brownian motors.



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