I am generally interested in nonlinear partial differential equations. More specifically, I am interested in the existence problem of constant scalar curvature Kahler metrics (cscK), as well as complex Monge-Ampere and Hessian equations.

Previously I have worked on optimal transport (so that real MA is involved), with application to fluid dynamcs, which I may return to in the future.

Here is my CV.

Past teaching: Mat 533: Real Analysis II. 

Mat 511: Intro to PDE 

Here is a list of my papers.