Rchr
J-GLOBAL ID：201601016756684741
Update date: Nov. 13, 2024
Honda Shouhei
ホンダ シヨウヘイ | Honda Shouhei
Affiliation and department：
Job title：
Professor
Homepage URL (2)：
http://www.math.tohoku.ac.jp/people/honda.html
,
http://www.math.tohoku.ac.jp/english/people/honda-e.html
Research field (1)：
Geometry
Research theme for competitive and other funds (10)：
- 2022 - 2027 Establishing data descriptive science and its cross-disciplinary applications
- 2021 - 2026 多様体の収束・崩壊の一般理論の構築に向けて
- 2020 - 2025 リッチ曲率に関する空間の収束・崩壊とスペクトル収束の新展開
- 2018 - 2021 New development of the theory of convergence and collapsing of Riemannian manifolds
- 2016 - 2020 Gromov-Hausdorff convergence and Geometric Analysis
- 2012 - 2018 Geometric and Global Analysis of Scalar Curvature and Einstein Metrics
- 2014 - 2017 Study on hypersurfaces of constant anisotropic mean curvature with singulalities
- 2012 - 2016 The study of collapsing Riemannian manifolds related to Ricci curvature
- 2010 - 2011 The geometry related to Ricci curvature
- 2007 - 2008 Ricci曲率が下に有界な多様体族の極限空間の研究
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Papers (39)：
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Shouhei Honda, Christian Ketterer, Ilaria Mondello, Raquel Perales, Chiara Rigoni. Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds. Nonlinear Analysis. 2024. 249
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Shouhei Honda, Artem Nepechiy. Locally homogeneous RCD spaces. to appear in Springer Tohoku Series in Mathematics. 2024
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Shouhei Honda. Spectral distances on RCD spaces. Mathematische Zeitschrift. 2024. 308. 4
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Shouhei Honda. Metric measure spaces with Ricci bounds from below. Sugaku Expositions. 2024
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Shouhei Honda. Almost rigidity results of Green functions with non-negative Ricci curvature. to appear in Springer Tohoku Series in Mathematics. 2024
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Books (1)：
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Riemannian convergence theory
2023 ISBN:9784254118728
Lectures and oral presentations (137)：
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Spectral convergence and its applications
(Analysis and geometry on Dirichlet spaces 2024)
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Spectral gap, spectral convergence and related open problems
(MIST 2024 & Hong Kong Geometry Colloquium 2024)
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Poincaré inequality for one forms on four manifolds with bounded Ricci curvature
(Geometry and Topology 2024 2024)
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Spectral gap, spectral convergence and related open problems
(School and Conference on Metric Measure Spaces, Ricci Curvature, and Optimal Transport 2024)
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熱を使って空間を調べる
(社会連携講座「冷媒熱流体の数理」公開シンポジウム 2024)
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Professional career (1)：
Awards (3)：
- 2018/09 - Mathematical Society of Japan Geometry Prize
- 2017/04 - MEXT Young Scientists' Prize
- 2015/09 - Mathematical Society of Japan Takebe Prize
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