Research Interests:

My research interest lies at the intersection of differential geometry and partial differential equations, as well as their physical applications, for example, in general relativity and phase transition theory. More precisely, my research focuses on the study of singularities arising in minimal surfaces and mean curvature flow, especially in geometric free boundary problems. Much of my work combines techniques from geometry, partial differential equations and geometric measure theory to study various natural variational boundary value problems arising in geometry and physics.