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
Research Interests
15Research Areas
4Research History
5-
Apr, 2013 - Present
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Sep, 2004 - Mar, 2013
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Sep, 2001 - Aug, 2004
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Sep, 1999 - Aug, 2001
Education
2-
Sep, 1991 - Jun, 1996
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Sep, 1987 - Jun, 1991
Committee Memberships
5-
Jun, 2016 - Present
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Mar, 2013 - Present
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Jun, 2019 - May, 2021
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Mar, 2018 - Feb, 2021
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Apr, 2019 - Mar, 2020
Major Papers
58-
Journal of High Energy Physics, 2020, Dec 1, 2020 Peer-reviewedAn 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.
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Communications in Partial Differential Equations, 43(8) 1205-1241, Feb, 2019 Peer-reviewedarxiv.org/abs/1711.05229
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AMS Sugaku Expositions, 30 159-186, Oct, 2017 Peer-reviewedInvited
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Journal of Differential Geometry, 106 451-498, 2016 Peer-reviewed
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Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics, European Mathematical Society, 237-246, 2015 Peer-reviewedInvited
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 142(2) 603-616, Feb, 2014 Peer-reviewed
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Handbook of Teichmuller theory European Mathematical Society, IV 43-112, 2014 Peer-reviewedInvited
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MONATSHEFTE FUR MATHEMATIK, 172(1) 97-120, Oct, 2013 Peer-reviewed
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SUGAKU, 65(2) 174-198, Apr 25, 2013 Peer-reviewedInvited
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GEOMETRIAE DEDICATA, 145(1) 43-63, Apr, 2010 Peer-reviewed
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358(7) 2875-2895, 2006 Peer-reviewed
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COMMUNICATIONS IN MATHEMATICAL PHYSICS, 257(3) 703-723, Aug, 2005 Peer-reviewed
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MATHEMATICAL RESEARCH LETTERS, 11(2-3) 327-344, Mar, 2004 Peer-reviewed
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JOURNAL OF DIFFERENTIAL GEOMETRY, 51(1) 35-96, Jan, 1999 Peer-reviewed
Books and Other Publications
3
Presentations
134-
The 10th Yamabe Memorial Symposium @University of Minnesota, Sep 30, 2022 Invited
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International Conference on History and Recent Developments in Mathematics, Dec 14, 2019
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Riemann surfaces and Teichmuller theory, Euler Institute, St. Pertersburg, Jul 9, 2019
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Chebyshev Laboratory Colloquium, St. Pertersburg, Apr 30, 2019 Invited
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The 2nd International Conference Geometry of Submanifolds and Integrable Systems, Mar 25, 2019, Yoshihiro Ohnita, Martin Guest, Young Jin Suh, Wayne Rossman, Masashi Yasumoto
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Physics Department Seminar, Feb 26, 2019, Gilbert Weinstein
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Analysis and Geometry in Minimal Surface Theory, Dec 3, 2018, Sung-Hong Min, Eun-Joo Lee, Jyuncheol Pyo, Keomkyo Seo
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Kyoto University, Department of Mathematics Colloquium, Oct 24, 2018
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The 102th Encounter between Mathematicians and Theoretical Physicists, Sep 15, 2018, Athanase Papadopoulos Invited
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New Trends in Teichmüller Theory and Mapping Class Groups, Sep 8, 2018, Ken'ichi Ohshika, Osaka Athanase Papadopoulos, Robert C. Penner, Anna Wienhard Invited
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The 11th Mathematical Society of Japan (MSJ) Seasonal Institute (SI)、"The Role of Metrics in the Theory of Partial Differential Equations", Jul 3, 2018, Mathematical Society of Japan Invited
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研究集会『リーマン幾何と幾何解析』, Feb 25, 2018, 山口 孝男（京都大学） 永野 幸一（筑波大学） 横田 巧 （京都大学 数理解析研究所） Invited
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Workshop on Geometric Analysis and General Relativity, Jan 14, 2018, Conan Leung (CUHK/IMS) Martin Li (CUHK) Mu-Tao Wang (CUHK/Columbia University) Shing-Tung Yau (Harvard University) Invited
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Workshop “Analysis, Geometry and Topology of Positive Scalar Curvature Metrics”, Aug 10, 2017, Bernd Ammann (Regensburg), Bernhard Hanke (Augsburg), Andre Neves (London) Invited
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99e rencontre entre mathematiciens et physiciens theoriciens : Geometrie et physique, Jun 10, 2017, Vincent Alberge (New York), Ken’ichi Ohshika (Osaka) and Athanase Papadopoulos (Strasbourg) Invited
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PDEs, Geometric Analysis & Functional Inequalities, Mar 10, 2017, Daniel Daners (USydney) Daniel Hauer (USydney), Glen Wheeler (Wollongong), Valentina Wheeler (Wollongong) Invited
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Tokyo–Berkeley Mathematics Workshop Partial Differential Equations and Mathematical Physics, Jan 12, 2017 Invited
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Workshop "Geometric inequalities on Riemannian manifolds and related topics, Nov 25, 2016 Invited
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第６３回幾何学シンポジウム, Aug 29, 2016, 俊 ( 関西学院大学)、 塩谷 隆 (東北大学)、 今野 宏 (明治大学)、 清原 一吉 (岡山大学) 藤森 祥一 (岡山大学) Invited
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CiRfSEワークショップ New Frontiers in Mathematical Physics, Jan 19, 2016, Center for Integrated Research in Fundamental Science and Engineering Invited
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Workshop on Teichmueller Theory and Low-Dimensional Topology, Jan 14, 2016, Ken’ichi Ohshika, Athenase Papadopoulos, Ser Peow Tan , Weixu Su Invited
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Geometry Seminar, Swiss Federal Institute of Technology (ETH), Zurich, 2015
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Differential Equation Seminar, Ariel University, Israel., 2015
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French-Japanese workshop on Teichmueller spaces and surface mapping class group, 2015
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Summer School on multiscale and geometric analysis, Sapporo, 2015
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Finsler geometry and applications to low-dimensional geometry and topology and moduli spaces, University of Cagliari, 2015
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Geometry Seminar, Swiss Federal Institute of Technology (ETH), Zurich, 2015
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Differential Equation Seminar, Ariel University, Israel., 2015
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French-Japanese workshop on Teichmueller spaces and surface mapping class group, 2015
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Summer School on multiscale and geometric analysis, Sapporo, 2015
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Finsler geometry and applications to low-dimensional geometry and topology and moduli spaces, University of Cagliari, 2015
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The Second Japanese-Spanish Workshop on Differential Geometry, Tokyo Institute of Technology, 2014
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Oberwolfach Mathematical Institute (MFO) Workshop "Analysis, Geometry and Topology of Positive Scalar Curvature Metrics", 2014
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名古屋大学多元数理研究科 相対論／幾何学セミナー, 2014
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Workshop "Mathematical Approaches to Pattern Formation" Tohoku University, 2014
Works
65Research Projects
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科学研究費助成事業, 日本学術振興会, Apr, 2024 - Mar, 2029
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Sep, 2023 - Mar, 2027
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Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Research (Pioneering), Japan Society for the Promotion of Science, Jul, 2020 - Mar, 2026
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科学研究費助成事業, 日本学術振興会, Apr, 2020 - Mar, 2025
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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