- 2021 - 2026 多様体の収束・崩壊の一般理論の構築に向けて
- 2020 - 2025 Study of the geometric structure of geodesically complete metric spaces with curvature bounded above
- 2015 - 2018 Development of geometric analysis of singular collapsing phenomenon
- 2014 - 2018 Developments of the geometric topology of homology manifolds with curvature bounded above
- 2009 - 2014 Study of convergence and collapsing phenomena by methods of geometric analysis
- 2009 - 2013 Geometric topology of spaces with curvature bounded above
- 2006 - 2009 Study of Topological Structure of Metric Spaces of Non-Positive Curvature
- 2005 - 2008 Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spaces
- 2002 - 2004 空間の収束理論の視点による非正曲率空間の幾何構造の研究
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