My research interest is algebraic geometry. Especially, I am interested in
birational behavior of Fano varieties, a special class of algebraic varieties.
I have researched the Mukai conjecture, the existence of certain good models
over some reducible varieties, and an algorithm to classify log del Pezzo surfaces
(joint work with Kazunori Yasutake), etc. Recently, I am interested in K-stability
of Fano varieties; I (and independently Chi Li) gave a birational interpretation
of K-stability of Fano varieties.