Sumio Yamada

(山田澄生)

Profile Information

Affiliation: Professor, Faculty of ScienceDepartment of Mathematics, Gakushuin University

Degree: Doctor of Philosophy(Stanford University)
Bachelor of Arts(Princeton University)

J-GLOBAL ID: 200901028457385200
researchmap Member ID: 5000078417

External link: http://www.math.gakushuin.ac.jp/%E3%83%A1%E3%83%B3%E3%83%90%E3%83%BC/%E6%95%99%E6%8E%88/%E5%B1%B1%E7%94%B0-%E6%BE%84%E7%94%9F-%E6%95%99%E6%8E%88/

Research Interests

Research Areas

Research History

Apr, 2013 - Present

Professor, Faculty of Science Department of Mathematics, Gakushuin University
Sep, 2004 - Mar, 2013

Associate professor, Graduate School of Sciences, Tohoku University
Sep, 2001 - Aug, 2004

Assistant professor, Department of Mathematics, University of Alabama at Birmingham
Sep, 1999 - Aug, 2001

Visiting Assistant Professor, Department of Mathematics, Cornell University
Jul, 1996 - Aug, 1999

C.L.E. Moore Instructor, Department of Mathematics, Massachusetts Institute of Technology

Education

Sep, 1991 - Jun, 1996

Department of Mathematics, Department of Mathematics, Stanford University
Sep, 1987 - Jun, 1991

Department of Mathematics, Princeton University

Committee Memberships

Jun, 2016 - Present

評議員, グルー・バンクロフト基金
Mar, 2013 - Present

日本数学会幾何学分科会拡大幹事会
Jun, 2019 - May, 2021

理事, 日本数学会
Mar, 2018 - Feb, 2021

board member, Mathematical Society of Japan, Geometry Section
Apr, 2019 - Mar, 2020

連絡責任評議員, 日本数学会幾何学分科会

Major Papers

5-Dimensional Space-Periodic Solutions of the Static Vacuum Einstein Equations

Marcus Khuri, Gilbert Weinstein, Sumio Yamada

Journal of High Energy Physics, 2020, Dec 1, 2020 Peer-reviewed

An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are constructed, having different combinations of ring $S^1\times S^2$ and sphere $S^3$ cross-sectional horizon topologies. Furthermore, we show the existence of 5-dimensional vacuum solitons with Kasner asymptotics. These are regular static space-periodic vacuum spacetimes devoid of black holes. Consequently, we also obtain new examples of complete Riemannian manifolds of nonnegative Ricci curvature in dimension 4, and zero Ricci curvature in dimension 5, having arbitrarily large as well as infinite second Betti number.
Timelike Hilbert and Funk Geometries

YAMADA Sumio, Athanase Papadopoulos

67(101554), Dec, 2019 Peer-reviewed

arXiv:1602.07072 [math.DG]
Stationary Vacuum Black Holes in 5 Dimensions

Marcus Khuri, Gilbert Weinstein, Sumio Yamada

Communications in Partial Differential Equations, 43(8) 1205-1241, Feb, 2019 Peer-reviewed

arxiv.org/abs/1711.05229
On the Weil-Petersson convex geometry of Teichmu ̈ller space

YAMADA Sumio

AMS Sugaku Expositions, 30 159-186, Oct, 2017 Peer-reviewedInvited
Proof of the Riemannian Penrose inequality with charge for multiple black holes

YAMADA SUMIO, Markus Khuri, Stonybrook University, Gilbert Weinstein, Ariel University

Journal of Differential Geometry, 106 451-498, 2016 Peer-reviewed
On the projective geometry of constant curvature spaces.

YAMADA SUMIO, Athanase Papadopoulos, iversity of Strasbourg

Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics, European Mathematical Society, 237-246, 2015 Peer-reviewedInvited
Convex bodies in Euclidean and Weil-Petersson geometries

Sumio Yamada

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 142(2) 603-616, Feb, 2014 Peer-reviewed
Local and Global Aspects of Weil-Petersson geometry.

YAMADA SUMIO

Handbook of Teichmuller theory European Mathematical Society, IV 43-112, 2014 Peer-reviewedInvited
The Funk and Hilbert geometries for spaces of constant curvature

Athanase Papadopoulos, Sumio Yamada

MONATSHEFTE FUR MATHEMATIK, 172(1) 97-120, Oct, 2013 Peer-reviewed
On Weil–Petersson convex geometry of Teichmüller spaces

Yamada Sumio

SUGAKU, 65(2) 174-198, Apr 25, 2013 Peer-reviewedInvited
Weil-Petersson geometry of Teichmuller-Coxeter complex and its finite rank property

Sumio Yamada

GEOMETRIAE DEDICATA, 145(1) 43-63, Apr, 2010 Peer-reviewed
The parameterized Steiner problem and the singular plateau problem via energy

C Mese, S Yamada

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358(7) 2875-2895, 2006 Peer-reviewed
On a Penrose inequality with charge

G Weinstein, S Yamada

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 257(3) 703-723, Aug, 2005 Peer-reviewed
On the geometry of Weil-Petersson completion of Teichmuller spaces

S Yamada

MATHEMATICAL RESEARCH LETTERS, 11(2-3) 327-344, Mar, 2004 Peer-reviewed
Weil-Peterson convexity of the energy functional on classical and universal Teichmuller spaces

S Yamada

JOURNAL OF DIFFERENTIAL GEOMETRY, 51(1) 35-96, Jan, 1999 Peer-reviewed

Books and Other Publications

相対論とリーマン幾何学 (数学と物理の交差点 3)

山田澄生

共立出版, Apr 28, 2023 (ISBN: 4320114035)
From Riemann to Differential Geometry and Relativity

YAMADA Sumio (Role: Joint editor, Editor with Lizhen Ji and Athanase Papadopoulos)

Springer, Oct, 2017 (ISBN: 9783319600390)
数理解析研究所講究録1862 「低次元多様体モジュライ空間の幾何学」

京都大学数理解析研究所, 2013

Presentations

134

Harmonic maps in general relativity

Sumio Yamada

The 10th Yamabe Memorial Symposium @University of Minnesota, Sep 30, 2022 Invited
What is a blackhole?

Geometry and Topology Seminar, IRMA, Strasbourg, Feb 26, 2020 Invited
On Development of Relativity from 1900 to 1920

International Conference on History and Recent Developments in Mathematics, Dec 14, 2019
Timelike geometry and generalized de Sitter spaces

Riemann surfaces and Teichmuller theory, Euler Institute, St. Pertersburg, Jul 9, 2019
アインシュタイン、ワイル、そして高次元ブラックホール

山田澄生

東工大大岡山談話会, Jun 24, 2019 Invited

Professional Memberships

Works

Gakushuin-Waseda Geometry Seminar

Oct, 2015 - Present Others
国際研究集会 Geometry and Analysis 主催

山口孝男, 山田澄生

Dec 5, 2019 - Dec 6, 2019 Others

Attachment
国際研究集会 Geometric Analysis and General Relativity 主催

山田澄生

Nov 21, 2019 - Nov 23, 2019 Others

Attachment
東京工業大学理学院集中講義「アインシュタイン方程式とリーマン幾何学」

山田澄生

Jun 24, 2019 - Jun 28, 2019
Workshop "Geometry of modulis spaces for Low Dimensional Manifolds

YAMADA Sumio

Jan, 2019 - Jan, 2019 Others

Research Projects

アインシュタイン方程式の幾何学-理論物理学と重力波天文学との邂逅-

科学研究費助成事業, 日本学術振興会, Apr, 2024 - Mar, 2029

山田澄生
Geometry of Gravitational Fields

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Sep, 2023 - Mar, 2027
Reconstructing the Thurston theory based on Higgs bundles and its new development

Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Research (Pioneering), Japan Society for the Promotion of Science, Jul, 2020 - Mar, 2026
タイヒミュラー空間論の複素解析的側面の深化と多角的視点からの新展開

科学研究費助成事業基盤研究(B), 日本学術振興会, Apr, 2020 - Mar, 2025

宮地秀樹, 志賀啓成, 大鹿健一, 山田澄生
Various evolutions of Teichmuller theory

Grants-in-Aid for Scientific Research Fund for the Promotion of Joint International Research (Fostering Joint International Research (B)), Japan Society for the Promotion of Science, Oct, 2018 - Mar, 2023

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