Rchr

J-GLOBAL ID：200901023854877192 Update date: Jan. 30, 2024

Ono Kaoru

オノカオル | Ono Kaoru

Affiliation and department：

Research field (2)： Mathematical analysis , Geometry

Research keywords (4)：大域解析学 , 幾何学 , Global Analysis , Geometry

Research theme for competitive and other funds (66)：

2019 - 2024 Studies on Floer theory and symplectic, contact structures
2017 - 2020 Symplectic geometry and contact topology for manifolds with boundary and its applications
2014 - 2019 Development of Floer theory and study on symplectic structures
2014 - 2018 Geometric studies on singularity of non-linear phenomena
2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems

2013 - 2016 Development of the index theorem on foliated manifolds

2011 - 2016 Proof of Homological Mirror Symmetry

2011 - 2016 Geometric moduli theory and its theoretical applications

2011 - 2015 Floer theory, mirror symmetry conjecture and applications to symplectic geometry

2010 - 2014 A research on the geometric singularities of non-linear phenomena

2009 - 2014 AdS/CFT correspondence and GIT stablity

2009 - 2014 Studies on Floer thoery, theory of holomorphic curves and symplectic structures, contact structures

2010 - 2012 A generalization of the Atiyah-Singer Index Theorem on Noncommutative manifolds

2007 - 2010 Pseudo-holomorphic map and Floer cohomology and their applications to symplectic geometry

2007 - 2010 Research on the differential sysytems and geometric structures associated with simple graded Lie algebras

2006 - 2010 New development of geometry based on topological field theory

2007 - 2009 Noncommutative Geometry and equivariant index theorem for twisted group actions

2006 - 2009 Differential Geometry and Partial Differential Equations as an application of Singularity theory

2006 - 2009 Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

2006 - 2008 Differential topological study of foliations and contact structures

2006 - 2008 Study on Floer theory and symplectic geometry

2005 - 2008 Research on geometry related to theta functions

2005 - 2007 幾何構造のC^O-剛性の研究

2004 - 2007 Existence Problem of Fxtremal Metran and Degeneration of Balanced Metrics

2004 - 2007 The global geometry of moduli spaoes

2005 - 2006 Non-commutative Geometry and Applications of twisted K-theory to Index theorem

2004 - 2006 Geometry and topology of 4-manifolds

2005 - 2005 Poisson幾何学国際会議2006年開催のための準備および調査企画

2004 - 2005 A study on foliations, contactstrucures, and symplectic styructures on 3 and 4 dimensional manifolds

2003 - 2005 Unified approach of Ricci-flat manifolds

2003 - 2005 Poisson Geometry, Contact Geometry and Quantization Problems

2003 - 2005 Research on several geometry from the view point of sinuglarity theory

2002 - 2005 Applied singularity theory to exterior differential systems

2002 - 2005 Floor homology, singularities and deformation theory

2001 - 2005 Moduli space, Homotopical algebra, Field theory

2002 - 2004 Study of Non-Commutative Geometry focusing on the Index theorem, and low-dimensional maniflod theory,

2001 - 2004 物理学に刺激されて生まれた種々の幾何学

2001 - 2003 Geometries related to foliations

2001 - 2003 Study on contac structures and foliations on 3 and 4 dimensional manifolds

2000 - 2003 A STUDY ON THE GEOMETRY OF MODULI SPACES

2000 - 2001 Non-Commutative Geometry and the Spectral Flow Index Theorem

1999 - 2001 Symplectic structures and singularities

1998 - 2001 Projective contact geometry and singularity theory

1999 - 2000 Spin^c Analysis for Group C^*-bundles on Manifolds and Study of Yamabe Invariants

1999 - 2000 Analysis of dynamical systems and related topics in geometry

1997 - 2000 Moduli space and infinite dimensional geometry

1999 - 1999 新しい空間像の創出

1998 - 1999 Study of contact structures and foliations on 3-manifolds

1997 - 1999 The Index Theorem and Analytic Secondary Invariants in Symplectic Geometry

1998 - 1998 ENCOUNTER with MATHEMATICS

1998 - 1998 国際共同研究「超弦理論と量子コホモロジー」を組織する為の企画調査

1997 - 1998 Study on symplectic structures and contact structures

1997 - 1998 Various problems in Hamiltonian dynamical systems and related topics in geometry and analysis

1996 - 1996 多様体上の種々の幾何構造と大域解析の研究

1996 - 1996 ブロウエ予想とパ-フェクトアイソメトリー

1995 - 1995 閉道空間上の汎関数の幾何学

1995 - 1995 点過程の方法による多変数確率過程の研究

1994 - 1994 強不定値汎函数の変分問題と閉道空間の幾何学

1994 - 1994 エルミート多様体の微分幾何学的研究

1993 - 1993 リーマン多様体の幾何学

1990 - 1990 無限変数解析

1989 - 1990 Problems in Global Analysis

スピン構造とディラック作用素

シンプレクティック幾何

Spin structures and Dirac operator

Symplectic Geometry

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Papers (61)：

K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono. Exponential decay estimates and smoothness of the moduli space of pseudo-holomorphic curves. Memoir of the Americal Mathematical Society. 2023. to appear
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono. Construction of a linear K-system in Hamiltonian Floer theory. Journal of Fixed Point Theory and Applications. 2022. 24. 2
Hong Van Le, Kaoru Ono. Floer-Novikov cohomology and symplectic fixed points, revisited. Proceedings of International Geometry Center. 2020. 13. 4. 89-114
ONO, Kaoru, Sugimoto, Yoshihiro. Note on (super) heavy subsets in symplectic manifolds. Proceedings of the Centre for Mathematics and its Applications, Australian National University. 2019. 48. 174-192
FUKAYA, Kenji, OH, Yong-Geun, OHTA, HIroshi, ONO, Kaoru. Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Memoirs of the American Mathematical Society. 2019. 260. 1254. 1-266

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Books (3)：

Kuranishi structures and virtual fundamental chains
Springer 2020 ISBN:9789811555619
Lagrangian Floer theory and mirror symmetry of compact toric manifolds
Societe Mathematique de France 2016
Lagrangian intersection Floer Theory - Anomaly and Obstruction, Part I & II
American Mathematical Society & International Press 2009

Lectures and oral presentations (38)：

Floer-Novikov cohomology and its applications
(NCTS workshop on Symplectic Geometry 2023)
Floer-Novikov cohomology
(IBS-CGP & MATRIX workshop on symplectic topology 2022)
symplecitc orbifold の Lagrangian Floer 理論
(幾何学シンポジウム 2022)
Lagrangian Floer theory on symplectic orbifolds
(Frontiers of Quantitative symplectic and contact geometry, Institut Mittag Leffler 2022)
An approach to the construction of virtual fundamental cycles.chains with integer coefficients
(Cohomology in algebra, geometry, physics and statistics (online), Czech Academy of Science 2021)

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Education (3)：

1987 - 1988 The University of Tokyo
- 1987 The University of Tokyo
- 1984 The University of Tokyo Faculty of Science

Professional career (1)：

Dr. Sci. (The University of Tokyo)

Work history (5)：

2012/03 - 現在 Kyoto University Research Institute for Mathematical Sciences Professor
1998/04 - 2012/02 Hokkaido University Graduate School of Science, Department of Mathematics Professor
1994/02 - 1998/03 Ochanomizu University Faculty of Science Division of Mathematics Associate Professor
1991/01 - 1994/01 Ochanomizu University Faculty of Science, Department of Mathematics Lecturer
1988/04 - 1991/01 Tohoku University Faculty of Science, Department of Mathematics Instructor

Association Membership(s) (1)：

日本数学会

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