Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS)
Main: Assistant Professor, Graduate School of Mathematics, Nagoya University
Dr. Genki Ouchi
Ph.D. in Mathematical Science
- Research Fields
- Mathematics, Algebraic Geometry
- Term and History
- 2018-04-01 - 2020-09-30 Special Postdoctoral Researcher
- 2020-11-16 - Visiting Scientist
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.