Rchr
J-GLOBAL ID:200901012308978709
Update date: Feb. 01, 2024
Ohshika Ken'ichi
オオシカ ケンイチ | Ohshika Ken'ichi
Affiliation and department:
Job title:
教授
Other affiliations (1):
Research field (1):
Geometry
Research keywords (2):
位相幾何
, Topology
Research theme for competitive and other funds (49):
- 2022 - 2027 3次元トポロジーへの応用を目指した離散群の表現空間と大域幾何の研究
- 2020 - 2026 Reconstructing the Thurston theory based on Higgs bundles and its new development
- 2020 - 2025 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
- 2018 - 2023 Various evolutions of Teichmuller theory
- 2017 - 2022 Geometry of discrete groups and its applications to 3-dimensional topology
- 2016 - 2021 Degeneration and collapsing of Kleinian groups; geometry and analysis of the compactification of their defamation spaces
- 2016 - 2019 Remodelling Kleinin group theory using ergodic theory and complex analysis
- 2013 - 2017 Combinatorial models of character varieties and the dynamics of group actions there
- 2012 - 2017 New developments in infinite groups and geometry
- 2012 - 2017 Geometry of moduli spaces for low dimensional manifolds
- 2011 - 2016 Teichmuller space and its topological dynamics via flat singular metrics on a surface
- 2010 - 2016 Global geometric studies on Kleinian groups and Teichmuller spaces
- 2010 - 2015 Geometric structure and combinatorial structure of 3-dimensional manifolds
- 2010 - 2014 Uniform research of topological Kleinian groups by using geometric limits
- 2010 - 2014 Ergodic-theoretical study of dynamical systems and stochastic processes related to the theory of Teichmuller spaces
- 2010 - 2012 Dynamics on curve complexes and asymptotic structure of mapping class groups
- 2008 - 2012 Groups of diffeomorphisms of manifolds
- 2009 - 2011 Indiscrete representations of discrete groups
- 2006 - 2010 Euclidean cone structures on a surface and Teichmuller spaces
- 2007 - 2009 Overall study of topology
- 2007 - 2009 Translation surfacesのモジュライ空間の位相幾何学
- 2006 - 2009 Heegaard structures and geometric structures of 3-manifolds
- 2005 - 2008 A classification of hyperbolic 3-manifolds and deformation spaces of hyperbolic structures
- 2005 - 2007 双曲構造と球面構造の双対性
- 2005 - 2007 Research on Geometric invariant on Manifolds and Lie transformation groups
- 2005 - 2007 Synthetic Studies ofTopology
- 2004 - 2007 Various aspects of infinite groups of transformations acting on manifolds
- 2002 - 2005 Hecguard Splittings and genetic structures of 3-manifolds
- 2002 - 2004 Invariants On the Geometric Manifolds with Group Actions
- 2001 - 2003 Research on discrete groups and profective strucutures on Riemann surfaces
- 2000 - 2003 Asymptotic structures of non-compact hyperbolic 3-manifoIds and differential geometry
- 1999 - 1999 3次元双曲開多様体の無限遠構造と微分幾何学
- 1997 - 1998 極小曲面論を用いたKlein群の研究
- 1997 - 1998 STUDY ON THE GROUPS OF DIFFEOMORPHISMS
- 1996 - 1996 古典力学系および群作用のエルゴード理論的研究
- 1995 - 1996 Interaction between Geometry and various mathematics
- 1995 - 1995 大域解析学の総合的研究
- 1995 - 1995 多様体上の諸構造と不変量
- 1994 - 1994 保型形式とL関数の研究
- 1994 - 1994 Klein群のautomaticとStructureとR-treeへの群作用
- 1993 - 1993 多様体上の幾何構造の積分可能性と基本群の表現
- 1992 - 1992 複素多様体からの群の表現の解析
- 1991 - 1991 解析的集合の特異点の幾何構造の研究
- 1987 - 1988 多様体の幾何学
- 1986 - 1986 3次元多様体の位相幾何学の研究
- Klein群の変形空間の位相幾何
- 3次元双曲多様体のend構造の研究
- Topology of deformation spaces for Kleinian groups
- Study on end structures of hyperbolic 3-manifolds
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Papers (55):
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Ken’ichi Ohshika. Teichmüller Spaces and the Rigidity of Mapping Class Group Actions. Surveys in Geometry I. 2022. 389-415
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Sang-hyun Kim, Thomas Koberda, Jaejeong Lee, Ken’ichi Ohshika, Ser Peow Tan, Xinghua Gao. Shapes of hyperbolic triangles and once-punctured torus groups. Mathematische Zeitschrift. 2021. 299. 3-4. 2103-2130
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Ken’ichi Ohshika. Geometry of Kleinian groups and its applications. Sugaku Expositions. 2021. 34. 2. 123-139
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Ken’ichi Ohshika. Continuous and discontinuous functions on deformation spaces of Kleinian groups. Topology and Geometry. 2021. 477-502
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Hirotaka Akiyoshi, Ken’ichi Ohshika, John Parker, Makoto Sakuma, Han Yoshida. Classification of non-free Kleinian groups generated by two parabolic transformations. Transactions of the American Mathematical Society. 2021. 374. 1765-1814
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MISC (22):
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Ken’ichi Ohshika. Thurston’s Influence on Japanese Topologists up to the 1980s. In the Tradition of Thurston. 2020. 59-65
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Ken’ichi Ohshika, Athanase Papadopoulos. A Glimpse into Thurston’s Work. In the Tradition of Thurston. 2020. 1-58
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OHSHIKA KEN'ICHI. SYMMETRIES ON REDUCED BERS BOUNDARIES (Geometric and analytic approaches to representations of a group and representation spaces). RIMS Kokyuroku. 2012. 1777. 84-87
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OHSHIKA KEN'ICHI. GEOMETRIC LIMITS VIEWED THROUGH MODEL MANIFOLDS (Analysis and Topology of Discrete Groups and Hyperbolic Spaces). RIMS Kokyuroku. 2009. 1660. 1-14
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OHSHIKA KEN'ICHI. DIVERGENCE IN DEFORMATION SPACES OF KLEINIAN GROUPS(Topology, Complex Analysis and Arithmetic of Hyperbolic Spaces). RIMS Kokyuroku. 2007. 1571. 1-4
more...
Books (2):
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離散群
岩波書店 2008 ISBN:9784000061483
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Discrete Groups
American Mathematical Society 2002 ISBN:082182080X
Works (6):
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Klein群の収束に関するThurston予想
2002 -
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Thurston's conjecture on convergence of Kleinian groups
2002 -
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Klein群のco-Hopf性質
1997 - 1998
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Co-Hopfian property of Kleinian groups
1997 - 1998
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3次元多様体群のBounded cohomology
1996 - 1997
more...
Education (4):
- - 1985 The University of Tokyo
- - 1985 The University of Tokyo Graduate School, Division of Science
- - 1983 The University of Tokyo Faculty of Science
- - 1983 The University of Tokyo Faculty of Science
Professional career (1):
- (BLANK) (The University of Tokyo)
Work history (4):
- 2001/04 - 2019/03 Osaka University Graduate School of Science Professor
- 1997/04 - 2001/03 University of Tokyo Gracuate School of Mathematical Sciences Associate Professor
- 1990/04 - 1997/09 Tokyo Institute of Technology Faculty of Science Associate Professor
- 1985/10 - 1990/03 Tokyo Metropolitan University Facalty of Science Research Associate
Awards (2):
- 2012/09 - 日本数学会 幾何学賞
- 2010 - JMSJ論文賞
Association Membership(s) (2):
American Mathematical Society
, 日本数学会
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