The University of Tokyo · Graduate School of Mathematical Sciences · 教授

Research keywordsRCD spaces・Ricci curvature・Gromov-Hausdorff convergence・spectral gap estimates・non-collapsed metric measure spaces・rigidity theorems・Green function geometry・Einstein tensors

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• New stability results for sequences of metric measure spaces with uniform Ricci bounds from below
• Poincaré inequality for one forms on four manifolds with bounded Ricci curvature
• Sphere theorems for RCD and stratified spaces
• A note on the topological stability theorem from RCD spaces to Riemannian manifolds

• スカラー曲率とアインシュタイン計量の幾何解析・大域幾何
• リッチ曲率に関わるリーマン多様体の崩壊の研究
• Ricci曲率が下に有界な多様体族の極限空間の研究
• 多様体の収束・崩壊の一般理論の構築に向けて

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