SHIOYA Takashi

J-GLOBAL         Last updated: Sep 19, 2018 at 15:21
SHIOYA Takashi
Tohoku University
Graduate School of Science Mathematics
Job title

Research Areas


Committee Memberships

Jul 2017
Jun 2019
日本数学会学術委員会  委員
Jul 2016
Jun 2018
教育研究資金問題検討委員会  委員
Sep 2015
Aug 2017
日本数学会 数学メモアール編集委員会  編集委員
Apr 2013
Mar 2017
日本数学会幾何学分科会  幹事
Apr 2015
Mar 2016
日本数学会幾何学分科会  連絡責任評議委員

Awards & Honors

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

Published Papers

High-dimensional metric-measure limit of Stiefel and flag manifolds
Mathematische Zeitschrift      2018   [Refereed]
Metric measure limits of spheres and complex projective spaces
SHIOYA Takashi
Measure theory in non-smooth spaces, Partial Differ. Equ. Meas. Theory   261-287   2017   [Refereed][Invited]
Takashi Shioya
Geometry and topology of manifolds, Springer Proc. Math. Stat.   154 299-314   2016   [Refereed][Invited]
Ryunosuke Ozawa, Takashi Shioya
Manuscripta Mathematica   147(3-4) 501-509   2015   [Refereed]
Takashi Shioya
Geometriae Dedicata   174 279-285   2015   [Refereed]
Ryunosuke Ozawa, Takashi Shioya
Mathematische Zeitschrift   280(3-4) 759-782   2015   [Refereed]
Kei Funano, Takashi Shioya
Geometric and Functional Analysis   23(3) 888-936   2013   [Refereed]
Kazuhiro Kuwae, Takashi Shioya
Tohoku Math. J.   63(1) 59-76   2011   [Refereed]
Takashi Shioya
Tohoku Math. J.   63(4) 471-487   2011   [Refereed][Invited]
Geometric analysis on Alexandrov spaces
Takashi Shioya
Su Buqing memorial lectures. No. 1, Tohoku Math. Publ.   35 31-46   2011   [Refereed][Invited]
Infinitesimal Bishop-Gromov condition for Alexandrov spaces
Kazuhiro Kuwae, Takashi Shioya
Probabilistic approach to geometry, Adv. Stud. Pure Math., Math. Soc. Japan, Tokyo.   57 293-302   2010   [Refereed][Invited]
Kazuhiro Kuwae, Takashi Shioya
Trans. Amer. Math. Soc.   360(1) 35-75   2008   [Refereed]
Fixed point sets of parabolic isometries of CAT(0)-spaces
Koji Fujiwara, Takashi Shioya, Nagano Koichi
Comment. Math. Helv.   81(2) 305-335   Oct 2006   [Refereed]
Takashi Shioya, Takao Yamaguchi
Math. Ann.   333(1) 131-155   2005   [Refereed]
Parabolic isometries of CAT(0) spaces and CAT(0) dimensions
K. Fujiwara, T. Shioya, S. Yamagata
Algebraic and Geometric Topology   4 861-892   Oct 2004   [Refereed][Invited]
Takashi Shioya
Geom. Dedicata   103 1-32   Jan 2004   [Refereed]
Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry
K. Kuwae, T. Shioya
Comm. Anal. Geom.   11(4) 599-673   Jun 2003   [Refereed]
Sobolev and Dirichlet spaces over maps between metric spaces
K. Kuwae, T. Shioya
J. Reine Angew. Math.   555 39-75   Jun 2003   [Refereed]
Kazuhiro Kuwae, Takashi Shioya
ICPA98 (Hammamet). Potential Anal.   15(1-2) 105-121   Jan 2001   [Refereed][Invited]
K. Kuwae, Y. Machigashira, T. Shioya
Math. Z.   238(2) 269-316   2001   [Refereed][Invited]
T. Shioya
J. Math. Soc. Japan   53(1) 1-15   2001   [Refereed]
Beginning of analysis on Alexandrov spaces
Kazuhiro Kuwae, Machigashira Yoshiroh, Takashi Shioya
Geometry and topology: Aarhus (1998), Contemp. Math., Amer. Math. Soc., Providence, RI.   258 275-284   Jan 2000   [Refereed][Invited]
Collapsing three-manifolds under a lower curvature bound
T. Shioya, T. Yamaguchi
J. Differential Geom.   56(1) 1-66   2000   [Refereed]
Eigenvalues and suspension structure of compact Riemannian orbifolds with positive Ricci curvature
Takashi Shioya
Manuscripta Math.   99(4) 509-516   Jan 1999   [Refereed]
The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature
T. Shioya
Trans. Amer. Math. Soc.   351(5) 1765-1801   1999   [Refereed]
Geometry of total curvature
Takashi Shioya
Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), Sémin. Congr., Soc. Math. France, Paris.   1 561-600   Jan 1996   [Refereed][Invited]
The Gromov-Hausdroff limits of two-dimensional manifolds under integral curvature bound
Takashi Shioya
Geometry and Topology (Y. W. Kim, S. E. Koh, Y. J. Song, and Y. G. Choi, eds.), Proceedings of Workshops in Pure Mathematics, Pure Mathematics Research Association, The Korean Academic Council.   16(III) 35-55   Jan 1996   [Refereed][Invited]
Mass of rays in Alexandrov spaces of nonnegative curvature
T. Shioya
Comment. Math. Helv.   69(2) 208-228   1994   [Refereed]
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds
T. Shioya
Mem. Amer. Math. Soc.   108(517) x 73   1994   [Refereed]
The Riemannian structure of Alexandrov spaces
Y. Otsu, T. Shioya
J. Differential Geom.   39(3) 629-658   1994   [Refereed]
On the excess of open manifolds
Takashi Shioya
Differential geometry: Riemannian geometry (Los Angeles, CA, 1990), Proc. Sympos. Pure Math., Amer. Math. Soc., Providence, RI.   54(3) 577-584   Jan 1993   [Refereed][Invited]
Diameter and area estimates for Tex and Tex with non-negatively curved metrics
Takashi Shioya
Progress in differential geometry, Adv. Stud. Pure Math., Math. Soc. Japan, Tokyo.   22 309-319   Jan 1993   [Refereed][Invited]
Splitting theorems for non-negatively curved open manifolds with large ideal boundary
T. Shioya
Math. Z.   212(2) 223-238   1993   [Refereed]
The ideal boundaries of complete open surfaces
Takashi Shioya
Tohoku Math. J. (2)   43(1) 37-59   Jan 1991   [Refereed]
On asymptotic behavior of the mass of rays
Takashi Shioya
Proc. Amer. Math. Soc.   108(2) 495-505   Jan 1990   [Refereed]
Mass of rays on complete open surfaces
Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka
Pacific J. Math.   143(2) 349-358   Jan 1990   [Refereed]
The ideal boundaries and global geometric properties of complete open surfaces
Takashi Shioya
Nagoya Math. J.   120 181-204   Jan 1990   [Refereed]
The ideal boundaries of complete open surfaces admitting total curvature c(M)=-∞
Takashi Shioya
Geometry of manifolds (Matsumoto, 1988), Perspect. Math., Academic Press.   8 351-364   Jan 1989   [Refereed][Invited]


Geometric analysis on Alexandrov spaces
Takashi Shioya
Sugaku Exposition   61(1) 1-20   Jan 2009
Collapsing three-manifolds
Takashi Shioya
数学セミナー 増刊      Jan 2007
Looking at curved spaces---An introduction to geometry and the Poincare conjecture---
Takashi Shioya
数学のたのしみ 2007春・冬   118-132   Jun 2007
Geometry and analysis on Alexandrov spaces
Takashi Shioya
数学のたのしみ 2005冬      2005
塩谷 隆
数理科学 特集「ポアンカレ」   544 36-37   Oct 2008

Books etc

桑江一洋,塩谷隆,太田慎一,高津飛鳥,桒田和正 (Part:Joint Work, 第2章)
日本数学会   Feb 2017   
Metric Measure Geometry
Takashi Shioya
European Mathematical Society   2016   
IRMA Lectures in Mathematics and Theoretical Physics Vol. 25.
A fundamental course of differential geometry
塩谷 隆
サイエンス社   Nov 2009   
The geometry of total curvature on complete open surfaces
K. Shiohama, T. Shioya, M. Tanaka (Part:Joint Work)
Cambridge University Press   Oct 2003   

Conference Activities & Talks

Soft isoperimetric rigidity
Hiroki Nakajima
Metric Measure Spaces and Ricci Curvature   4 Sep 2017   
High-dimensional spaces in metric measure geometry
Geometric Analysis on Smooth and Non-Smooth Spaces   19 Jun 2017   
High-dimensional spaces in metric measure geometry
5th Japanese-German University Presidents' Conference and Mini-Warkshop (HeKKSaGOn)   28 Sep 2016   
High-dimensional spaces in metric measure geometry
Workshop on Perspectives in Geometric Analysis (Part A)   30 Jun 2016   
Convergence of metric measure spaces
Metric Geometry and Its Applications   22 Feb 2016   

Association Memberships


Social Contribution

[Others]  7 Aug 2012 - 8 Aug 2012
[Others]  14 Oct 2006
[Others]  19 Nov 2005
[Others]  20 Aug 2017 - 22 Aug 2017
[Others]  5 Dec 2011