TBA

Mode: In-Person Title: Dynamics of multi-solitons for Klein-Gordon equations Abstract: I will report my recent joint work with Jacek Jendrej on muti-solitons for the Klein-Gordon equations including their asymptotic stability and classification.

Mode: In-Person Title: TBA Abstract: TBA

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

Mode: In-Person Title: The geometry of scalar curvature and mass in general relativity Abstract: In general relativity, the space we inhabit is modeled by a Riemannian manifold. The fundamental restriction this theory places upon spatial geometry is a lower bound … Read more

Mode: In-Person Title: Global stability of Kaluza-Klein spacetimes Abstract: Spacetimes formed from the Cartesian product of Minkowski space and a flat torus play an important role as toy models for theories of supergravity and string theory. In this talk I … Read more

Mode: In-Person Title: TBA Abstract: TBA