I am studying algebraic geometry. In particular, I am interested in algebraic varieties in positive characteristic. In algebraic geometry of positive characteristic, techniques such as resolution of singularities and vanishing of cohomologies cannot be used, so there are many difficulties compared to characteristic 0. I am conducting research with the goal of solving such difficulties by developing a method specific to positive characteristic using Frobenius morphism. So far, I have mainly studied singularities in positive characteristic. Recently, I am also interested in studying global objects such as Fano varieties from the viewpoint of positive characteristic.

Keywords	Algebraic Geometry, Commutative Ring Theory, Singularity Theory, Positive Characteristic
Faculty , Department	Faculty of Mathematics , Department of Mathematics