About me
I’m interested in geometric variational problems and flows, differential geometry, and global analysis.
Currently my research focuses on geometric Sobolev gradient flows. For example, the classical curve-shortening flow uses an L^2 gradient of the length of the curve – what happens if one uses a Sobolev inner product to determine the gradient instead? This is interesting from a purely mathematical point of view, but also connects with shape-recognition problems in computer imaging.