Anthony Graves-McCleary

Anthony Graves-McCleary is a Visiting Lecturer in the Department of Mathematics at Cornell University. His research interests include analysis, probability, and statistics, with a focus on the heat equation and its connections to partial differential equations and Brownian motion. Specifically, he studies how the fundamental solution of the heat equation changes when the Laplacian is replaced by a Schrödinger operator, examining this in Euclidean space, on manifolds, and on fractals. His work includes heat kernel estimates, Schrödinger operators, and Dirichlet forms. He has contributed to preprints on these topics, including joint work with Laurent Saloff-Coste.