Yuxuan Song

I am a PhD student working under the supervision by Prof. Felix Schulze and Dr. Maxwell Stolarski. I am primarily interested in differential geometry and non-linear PDEs, more specifically in the regularity theory and singularity theory for minimal surfaces and mean curvature flows. Often questions arising in these fields can be tackled using tools from elliptic PDEs, spectral analysis and geometric measure theory.

Prior to this, I was an undergraduate student at the Department of Statistics at Warwick. I have done some research in (quasi-) contact geometry and sub-Riemannian geometry, supervised by Dr. Karen Habermann.