- 2019 - 2024 Studies on Floer theory and symplectic, contact structures
- 2019 - 2023 Developments and Applications of Geometric Singularity Theory
- 2015 - 2019 Developments and applications of geometric singularity theory
- 2014 - 2019 Development of Floer theory and study on symplectic structures
- 2015 - 2018 Application of sub-Riemannian geometry to vision model
- 2014 - 2018 Geometric studies on singularity of non-linear phenomena
- 2011 - 2016 New developments of singularity theory of mappings
- 2011 - 2015 Development of nilpotent geometry and nilpotent analysis II
- 2011 - 2015 Development of Integrable Geometry
- 2010 - 2015 Geometry of curves, surfaces and hypersurfaces with singularities
- 2010 - 2015 Deepening three-manifold theory
- 2010 - 2014 Study on relations between differential equations and geometric structures by the method of twistor theory
- 2010 - 2014 The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometry
- 2010 - 2014 A research on the geometric singularities of non-linear phenomena
- 2009 - 2014 Studies on Floer thoery, theory of holomorphic curves and symplectic structures, contact structures
- 2011 - 2013 The construction of infinite dimensional singularity theory of completely non-integrable systems and its applications to the singular motion-planning problem
- 2008 - 2011 K3 surfaces and related algebraic varieties
- 2009 - 2010 量子フェーズ特異点論と新しい幾何光学
- 2007 - 2010 Research on the differential sysytems and geometric structures associated with simple graded Lie algebras
- 2007 - 2010 Fusion of geometry and the theory of integrable systems
- 2007 - 2009 Developments of nilpotent geometry and nilpotent analysis
- 2007 - 2009 Correlation between differential equations, geometric structures, and twistor theory
- 2006 - 2009 Differential Geometry and Partial Differential Equations as an application of Singularity theory
- 2007 - 2008 トロピカル幾何の位相代数幾何への応用
- 2006 - 2008 Study on Floer theory and symplectic geometry
- 2005 - 2008 Equivariant theory of Chern classes, Integrals based on Euler characteristics and related topics
- 2006 - 2007 Explicit Study of Algebraic Varieties
- 2004 - 2005 Developments of nilpotent geometry and nilpotent analysis, and subriemannian geometry
- 2003 - 2005 Residues on Singular Varieties
- 2003 - 2005 Research on several geometry from the view point of sinuglarity theory
- 2002 - 2005 Twistor correspondence between different geometric structures and application to differential equations and field theory
- 2002 - 2005 Applied singularity theory to exterior differential systems
- 2002 - 2005 Floor homology, singularities and deformation theory
- 2002 - 2004 Todd類の源を求めて
- 2002 - 2004 Fundamental groups of algebraic varieties
- 2002 - 2003 Differential equations and theory of submanifolds
- 2001 - 2003 Geometric structures and differential equations on filtered manifolds
- 2001 - 2003 Geometries related to foliations
- 2002 - 2002 特異点論とその応用
- 2001 - 2002 Integrable geodesic flows and Masloy's quantization condition
- 1999 - 2002 Research of Systems of Partial Differential Equations from the view point of Contact Geometry
- 2000 - 2001 コントロール理論への特異点論の応用
- 1999 - 2001 Symplectic structures and singularities
- 1999 - 2001 Research on Characteristic Classes of Singular Varieties
- 1998 - 2001 Projective contact geometry and singularity theory
- 1998 - 2001 Singularity theoretical research on Partial Differential Equations and Differential Geometry
- 1999 - 2000 Integrable geodesic flows and semi-classical approximations
- 1998 - 1999 Resolution of singularities in arbitrary characteristic
- 1998 - 1999 Geometric and group-theoretic studies on differential equations
- 1996 - 1999 Study of singularities and geometry by means of representation theory
- 1997 - 1998 Classical theory and quantization on integrable geodesic flows
- 1996 - 1998 Contact Geometry of Second Order
- 1996 - 1997 First Order Partial Differential Equation and WEB Geometry
- 1996 - 1997 Geometry and Analysis of non-linear Partial Differentail Equations
- 1995 - 1996 Contact geometric singularity theory of projective varieties.
- 1995 - 1996 Research on Complex Analytic Geometry and Singularity Theory
- 1994 - 1995 Study on Complex Manifolds
- 1994 - 1994 偏微分方程式の幾何と解析
- 1994 - 1994 二階の接触幾何学
- 1994 - 1994 複素解析的葉層構造の特異点の研究
- 1993 - 1993 シンプレクティック幾何と接触幾何の特異点論的研究
- 1993 - 1993 偏微分方程式の幾何学的理論と特異点
- 1992 - 1992 二階の接触幾何学
- 1992 - 1992 複素解析的葉層構造の特異点の研究
- 1990 - 1991 Research on Complex Analytic Geometry and Singularity Theory
- 1986 - 1986 実代数多様体および実代数写像の位相幾何学的研究
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