- 2024 - 2029 アインシュタイン方程式の幾何学-理論物理学と重力波天文学との邂逅-
- 2019 - 2024 Systematical geometric analysis and asymptotic analysis for evolution equations
- 2019 - 2024 Study on curvatures from the viewpoint of new convexities and its application to geometric analysis
- 2019 - 2024 Geometry of optimal transport theory and gradient flows
- 2019 - 2023 臨界型変分問題における領域の幾何の影響-解空間大域構造とコンパクト性喪失機構-
- 2016 - 2020 Unified construction of geometric theory for information space and morphological information science
- 2015 - 2019 Application of Optimal Transport and Information geometry to Metric Measure Spaces
- 2012 - 2015 Relation between measure concentration inequality and isoperimetric inequality under the curvature dimension condition
- 2008 - 2010 最適輸送問題からのリーマン計量の変形理論-曲面上のリッチ流の再解釈-
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