研究分野
数学、代数幾何学
着任履歴
2018/04/01 - 2020/09/30 基礎科学特別研究員
2020/11/16 - 客員研究員 (本務: 名古屋 大学院多元数理科学研究科 助教)

自己紹介

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.

関連イベント

Math Seminars by Dr. Genki Ouchi and Dr. Kenta Sato

2020年9月24日(木) 16:00 - 18:10 セミナー iTHEMS数学セミナー

Introduction to magnitude of metric spaces

2019年7月22日(月) 13:00 - 15:00 セミナー

Certain invariants as dimension

2019年5月24日(金) 16:00 - 18:10 セミナー iTHEMS数学セミナー

関連ニュース