Algebraic geometry, Commutative algebra

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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.

Research Interests

• Boundedness of projective varieties in positive characteristic
  keyword : Algebraic geometry, Positive characteristic, Fano varieties, Globally F regular, Boundedness
  2020.04.
• Singularities in positive characteristic
  keyword : Algebraic geometry, Positive characteristic, F-singularity, MMP, F-pure threshold
  2017.04.

Academic Activities