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

If you are interested in seeing what sub-Riemannian geometry is about (because there aren't many resources covering it), here (mainly based on a section from my masters dissertation) is my attempt to explain some part of it. I would appreciate any comments/questions, since there might be a non-trivial amount of typos/errors (it hasn't been maintained well).

I may be reached by (hopefully, this will soon be changed to yuxuan (dot) song (at) warwick (dot) ac (dot) uk).