Profile Information
- Affiliation
- Faculty of Science, Department of Mathematics, Gakushuin UniversityThe University of Osaka
- Degree
- (BLANK)(The University of Tokyo)
- J-GLOBAL ID
- 200901012308978709
- researchmap Member ID
- 1000366973
Research Areas
1Research History
4-
Apr, 2001 - Mar, 2019
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Apr, 1997 - Mar, 2001
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Apr, 1990 - Sep, 1997
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Oct, 1985 - Mar, 1990
Education
4Awards
2-
Sep, 2012
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2010
Papers
68-
Journal of Differential Geometry, 131(2), 2025 Peer-reviewed
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Monatshefte fur Mathematik, 205(3) 649-666, Nov, 2024 Peer-reviewed
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Surveys in Geometry II, 71-91, May 27, 2024 Peer-reviewedInvited
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In the Tradition of Thurston III Geometry and Dynamics, 2024
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In the Tradition of Thurston III Geometry and Dynamics, 2024
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Handbook of the History and Philosophy of Mathematical Practice: Volume 1-4, 1 1-15, 2024 Peer-reviewedInvited
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International Mathematics Research Notices, 2023(19) 16674-16707, Oct 1, 2023 Peer-reviewed
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IRMA Lectures in Mathematics and Theoretical Physics, Aug 8, 2023
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Surveys in Geometry I, 389-415, 2022 Peer-reviewedInvited
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Mathematische Zeitschrift, 299(3-4) 2103-2130, Dec, 2021 Peer-reviewed
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Sugaku Expositions, 34(2) 123-139, Oct 12, 2021 Peer-reviewed<p>The notion of Kleinian groups was first introduced by Poincaré in the 19th century, and their study from a viewpoint of complex analysis was developed by Ahlfors, Bers, Kra, Maskit and Marden among others. After Thurston’s innovative work, topological study of Kleinian groups was started and flourished. In this survey article, we look back on Thurston’s influential work and his famous 10 open questions, and explain their significance and how they have been solved. In the latter half, we shall look at more recent development of the theory of Kleinian groups.</p>
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Topology and Geometry, 477-502, Jul 15, 2021 Peer-reviewedInvited
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Transactions of the American Mathematical Society, 374 1765-1814, Jan 12, 2021 Peer-reviewed
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Annales de la Faculté des sciences de Toulouse : Mathématiques, 29(4) 805-895, Dec 9, 2020 Peer-reviewed
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In the Tradition of Thurston: Geometry and Topology, 2020
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In the Tradition of Thurston: Geometry and Topology, 291-363, 2020 Peer-reviewed
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Geometry in History, 435-450, Oct 18, 2019 Peer-reviewedInvited
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MONATSHEFTE FUR MATHEMATIK, 189(3) 507-521, Jul, 2019 Peer-reviewed
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Comptes Rendus Mathematique, 356(8) 899-902, Aug, 2018 Peer-reviewed
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Journal of Mathematical Imaging and Vision, 60(5) 651-660, Jun 1, 2018 Peer-reviewed
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René Thom: portrait mathématique et philosophique, 323-340, 2018 Peer-reviewedInvited
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Handbook of group actions. Vol. III, 40 13-35, 2018 Peer-reviewedInvited
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Annales Mathématiques Blaise Pascal, 24(1) 115-133, Aug 24, 2017 Peer-reviewed
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From Riemann to Differential Geometry and Relativity, 295-309, Jan 1, 2017 Peer-reviewedInvited
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ERGODIC THEORY AND DYNAMICAL SYSTEMS, 36 2498-2511, Dec, 2016 Peer-reviewed
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INVENTIONES MATHEMATICAE, 204(1) 83-131, Apr, 2016 Peer-reviewed
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Geometriae Dedicata, 180(1) 117-134, Feb 1, 2016 Peer-reviewed
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Handbook of Teichmüller theory. Vol. VI, 27 71-94, 2016 Peer-reviewed
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CONFORMAL GEOMETRY AND DYNAMICS, 20(4) 58-80, 2016 Peer-reviewed
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KODAI MATHEMATICAL JOURNAL, 38(1) 1-22, Mar, 2015 Peer-reviewed
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Handbook of group actions. Vol. II, 32 245-269, 2015 Peer-reviewedInvited
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Handbook of Hilbert geometry, 22 339-352, Dec, 2014 Peer-reviewed
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Topology and its Applications, 172 68-71, Aug 1, 2014 Peer-reviewed
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IRMA Lectures in Mathematics and Theoretical Physics, 235-254, May 30, 2014 Peer-reviewed
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ISRAEL JOURNAL OF MATHEMATICS, 199(2) 841-866, Mar, 2014 Peer-reviewed
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ANNALES DE L INSTITUT FOURIER, 64(1) 145-176, 2014 Peer-reviewed
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 141(12) 4385-4389, Dec, 2013 Peer-reviewed
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GEOMETRY & TOPOLOGY, 15(2) 827-890, 2011 Peer-reviewed
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IN THE TRADITION OF AHLFORS-BERS, V, 510 249-306, 2010 Peer-reviewed
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Osaka Journal of Mathematics, 46(4) 1097-1141, Dec, 2009 Peer-reviewed
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Journal of the Mathematical Society of Japan, 61(4) 1261-1291, Oct, 2009 Peer-reviewed
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Spaces of Kleinian Groups, 29-48, 2006 Peer-reviewed
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Memoirs of the American Mathematical Society, 177(834), 2005 Peer-reviewed
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Communications in Analysis and Geometry, 13(3) 479-510, 2005 Peer-reviewed
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Publications of the Research Institute for Mathematical Sciences, 38(2) 347-354, Aug, 2002 Peer-reviewed
Misc.
22-
In the Tradition of Thurston, 59-65, 2020
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RIMS Kokyuroku, 1777 84-87, Feb, 2012
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RIMS Kokyuroku, 1660 1-14, Jul, 2009
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RIMS Kokyuroku, 1571 1-4, Oct, 2007
Books and Other Publications
2Professional Memberships
2Works
6Research Projects
52-
科学研究費助成事業, 日本学術振興会, Apr, 2025 - Mar, 2030
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科学研究費助成事業, 日本学術振興会, Apr, 2022 - Mar, 2027
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科学研究費助成事業, 日本学術振興会, Apr, 2022 - 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