Research Fields
Mathematics, Algebraic Geometry
Term and History
2018-04-01 - Special Postdoctoral Researcher

Self-introduction

I am Genki Ouchi, a SPDR of iTHEMS. I am a mathematician. My research field is algebraic geometry. In algebraic geometry, we study algebraic varieties, that is, spaces described by algebraic equations. Recently, I am interested in symmetry of algebraic varieties: infinite symmetry via complex dynamics and finite symmetry via finite groups.

When I study such subjects, I often use mathematical notion related to string theory like derived categories of coherent sheaves, Bridgeland stability conditions and elliptic genera etc. I would like to find interesting geometric phenomena inspired by outside of algebraic geometry. Moreover, I am happy if there are application of algebras (or mathematics) to other research fields.

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