I am broadly interested in probability, partial differential equations (PDEs), and dynamical systems. My research focuses in particular on the analysis of stochastic systems and PDEs arising in the physical sciences, especially models from fluid mechanics.

Topics of specific interest for me in include the existence of invariant measures and geometric ergodicity for stochastic differential equations, hypoellipticity, passive scalar mixing and enhanced dissipation, anomalous diffusion, turbulent scaling laws, and hydrodynamic stability.