I wrote my thesis on the behavior of invariant metrics on pseudoconvex domains in $\C^n$ and showed the relationship between their blowing-up rates and the geometry of the boundary. (Thesis advisor: Steven G. Krantz) ?
?Currently, I am working on the joint project with A. Siano and J. E. Fornaess to prove the Kobayashi completeness of smoothly bounded pseudoconvex domains and to estimate the metric behavior in the normal direction.
I am also writing a paper with John Erik Fornaess on the equality of the commutator type and the regular variety type on smoothly bounded pseudoconvex domains in $\C^n$.
