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J-GLOBAL ID：200901067678445431 Update date: Jan. 30, 2024

Shioya Takashi

シオヤタカシ | Shioya Takashi

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.math.tohoku.ac.jp/people/shioya.html

Research field (1)： Geometry

Research keywords (1)： Geometry and analysis on convergence of metric spaces

Research theme for competitive and other funds (45)：

2022 - 2027 Analysis on metric measure spaces by optimal transport theory and Markov processes
2020 - 2025 幾何学的群論における新しい指導的理論の確立
2019 - 2024 測度距離空間の収束理論の展開
2017 - 2022 Geometry and analysis on metric measure spaces based on the theory of Markov processes and optimal mass transport
2018 - 2021 New development of the theory of convergence and collapsing of Riemannian manifolds

2016 - 2021 Study on geometric structures of singularities of the mean curvature type flow

2015 - 2020 Progress in Geometric group theory

2014 - 2019 Geometric study of a sequence of spaces with unbounded dimension

2014 - 2019 New development of Lipschitz structure/collapsing theory of Alexandrov spaces and inverse spectral problem

2012 - 2017 Discrete Geometric Analysis for Quantum Spin System

2012 - 2016 The latest frontier study on geometry and theory of eigenvalues

2011 - 2016 Geometric group theory and metric embedding

2010 - 2014 Probabilistic approach to analysis and geometry on metric measure spaces

2009 - 2014 Study of convergence and collapsing phenomena by methods of geometric analysis

2011 - 2013 Geometry of measure concentration and curvature

2011 - 2012 Geometric application of concentration of measure phenomenon

2008 - 2011 Study of Geometry of a discrete space through randomness

2008 - 2010 Optimal mass transport on Alexandrov spaces and Ricci curvature

2007 - 2010 Study on Geometric group theory

2007 - 2009 Analysis on harmonic maps on metric measure spaces by Dirichlet forms

2005 - 2008 Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spaces

2005 - 2007 Gromov-Hausdorff convergence and a theory of variational convergences

2004 - 2007 Spectral Analysis of infinite grapgs with discrete group actions

2005 - 2006 Study on limit theorems for fuzzy set-valued random variables

2005 - 2006 Geometric group theory and hyperbolic geometry

2004 - 2006 Analysts on harmonic maps over geometric singular spaces via Dirichlet forms

2003 - 2005 Large deviations for symmetric Markov processes and Dirichlet forms

2003 - 2004 Research on diffusion processes and fuzzy set valued random variables

2002 - 2004 Convergence of Riemannian manifolds and spectrum of Laplacian

2002 - 2004 Geometric study of infinite discrete groups

2001 - 2004 Theory of collapsing Riemannian manifolds and geometry of Alexandrov spaces

2002 - 2003 The standard realization of crystal lattices and spectra of magnetic transition operators

2001 - 2003 Dirichlet space and analysis of harmonic map over the space of Gromov-Hausdorff limit spaces

2000 - 2003 Relations between space-structures and curvatures

2000 - 2002 Research on Sphere Theorems and Related Properties of Spheres

1999 - 2002 Geometry of space of Riemannian manifolds

1999 - 2001 Analysis on Alexandrov Spaces

1998 - 2000 Collapsing Theory of 4-manifolds and the geometry of Alexandrov Spaces

1997 - 1997 特異リッチ曲率をもつ空間の研究

1996 - 1996 曲率が上に有界なアレキサンドロフ空間の位相構造

1995 - 1995 アレクサンドロフ空間の幾何学

1994 - 1995 Convergence Theory for Alexandrov Spaces

1994 - 1994 確率群作用の絶対連続性と調和解析

1994 - 1994 トポロジーとその関連分野の研究

1993 - 1993 完備リーマン多様体の幾何的性質と理想境界との関係について

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Papers (41)：

Koji Fujiwara, Takashi Shioya. Graph manifolds as ends of negatively curved riemannian manifolds. Geometry and Topology. 2020. 24. 4. 2035-2074
Hiroki Nakajima, Takashi Shioya. Isoperimetric rigidity and distributions of 1-Lipschitz functions. Advances in Mathematics. 2019. 349. 1198-1233
Takashi Shioya, Asuka Takatsu. High-dimensional metric-measure limit of Stiefel and flag manifolds. Mathematische Zeitschrift. 2018. 1-35
SHIOYA Takashi. Metric measure limits of spheres and complex projective spaces. Measure theory in non-smooth spaces, Partial Differ. Equ. Meas. Theory. 2017. 261-287
Takashi Shioya. Concentration, Convergence, and Dissipation of Spaces. GEOMETRY AND TOPOLOGY OF MANIFOLDS. 2016. 154. 299-314

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MISC (14)：

Hiroki Nakajima, Takashi Shioya. A natural compactification of the Gromov-Hausdorff space. to appear in Geom. Dedicata. 2021
Hiroki Nakajima, Takashi Shioya. Convergence of group actions in metric measure geometry. to appear in Communications in Analysis and Geometry. 2021
Daisuke Kazukawa, Takashi Shioya. High-dimensional ellipsoids converge to Gaussian spaces. to appear in Jour. of Math. Soc. of Japan. 2020
塩谷隆. 多様体の解析 : リッチ・フローと幾何化予想の解決 (特集幾何学における様々な発想 : いかにして空間をとらえるか). 数理科学. 2014. 52. 3. 40-45
Takashi Shioya. Geometric analysis on Alexandrov spaces. Sugaku Exposition. 2009. 61. 1. 1-20

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Books (4)：

最適輸送理論とリッチ曲率
日本数学会 2017
Metric Measure Geometry
European Mathematical Society 2016
A fundamental course of differential geometry
サイエンス社 2009
The geometry of total curvature on complete open surfaces
Cambridge University Press 2003

Lectures and oral presentations (69)：

測度距離空間全体の空間の主束の構造
(測度距離空間の解析と幾何およびその展望 2022)
Principal bundle structure of the space of metric measure spaces
(Dirichlet Forms to Wasserstein Geometry 2022)
Ellipsoids converge to Gaussian spaces
(Geometric Measure Theory and Geometric Analysis in Moscow 2020)
Graph manifolds as ends of negatively curved Riemannian manifolds
(2020)
Graph manifolds as ends of negatively curved Riemannian manifolds
(2020)

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Professional career (1)：

Doctor of Science (Kyushu University)

Committee career (8)：

2019/04 - 現在 Tohoku Mathematical Journal Managing Editor
2015/09 - 現在日本数学会数学メモアール編集委員会編集委員
2017/07 - 2024/06 日本数学会学術委員会委員,2021.7から委員長
2016/07 - 2018/06 教育研究資金問題検討委員会委員
2013/04 - 2017/03 日本数学会幾何学分科会幹事

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Awards (2)：

2006/09/19 - 日本数学会幾何学賞アレクサンドロフ空間に関する一連の研究業績
1999/08/17 - The International Society for Analysis, its Applications and Computation ISAAC Award for Young Mathematicians Alexandrov 空間上の解析の研究に対して

Association Membership(s) (1)：

Mathematical Society of Japan

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