Rohan Sarkar

My research lies at the intersection of Probability, Analysis, and Geometry. In particular, I study spectral theory and functional inequalities for Markov processes generated by non-self-adjoint, non-local operators. My work also explores functional analytic aspects of Markov processes on sub-Riemannian manifolds. In this vein, I am especially interested in understanding the potential theory associated with hypoelliptic operators, particularly in the sub-Riemannian setting.