Mode: In-Person Title: How smooth is a C² surface? Abstract: Please view Dr. Taylor's abstract HERE.

Mode: In-Person Title: Colding-Minicozzi entropies in Cartan-Hadamard manifolds Abstract: I will discuss a family of functionals defined on submanifolds of Cartan-Hadamard manifolds that generalize the Colding-Minicozzi entropy of submanifolds of Euclidean space. These quantities are monotone under mean curvature flow … Read more

Mode: In-Person Title: TBA Abstract: TBA

Mode: In-Person Title: Nodal sets of eigenfunctions of sub-Laplacians Abstract: Nodal sets of eigenfunctions of elliptic operators on compact manifolds have been studied extensively over the past decades. In a recent work, we initiated the study of nodal sets of … Read more