I am working on geometric analysis, the interface of various nonlinear partial differential equations and differential geometry, specially complex geometry. The analytic tools include calculus of variations, higher order geometric flows and complex Monge-Ampère equations.
My current research involves
1)Calabi flow and constant scalar curvature Kähler metrics.
2)Kähler metrics with cone singularities.
3)Variational structures of the space of Kähler metrics.