Abstract: 

Singularities arise naturally in geometric variational problems and evolution equations. A fundamental question is to understand the local structure of these singular sets, both in general settings and under generic assumptions. In this talk, I will discuss recent progress on the analysis of singularities for the area functional, focusing on structural results and generic regularity phenomena in minimal surfaces and mean curvature flow.

Bio-Sketch: 

Zhihan Wang is a Klarman fellow at Cornell University. He obtained Ph.D. from Princeton University in 2023 under the supervision of Fernando Marques. His research centers on geometric variational and evolution problems.