- 2024 - 2029 Theory of holomorphic curves, the development of Floer theory and studies on contact and symplectic structures
- 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