- 2011 - 2013 Study on the general adiabatic expansion theory for Laplacian and its some applications
- 2008 - 2010 Study on the general adiabatic expansion theory for heat kernels and its some applications
- 2007 - 2009 RESEARCH ON THE POISSON GEOMETRY AND THE RELATED GEOMETRIES
- 2006 - 2009 Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics
- 2006 - 2008 An arithmetic study of modular forms of half integral weight and Siegel modular forms
- 2006 - 2007 Research on knot theory using essential surfaces
- 2005 - 2005 葉層力学系研究のための企画調査
- 2004 - 2005 Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms
- 2003 - 2005 Research on finite Dehn surgeries on knots and links
- 2003 - 2005 Research On the Geometry Related with Structures of Manifolds and Plane Fields
- 2002 - 2004 Study on the anomaly of Spin^q manifolds
- 2001 - 2003 Study on contac structures and foliations on 3 and 4 dimensional manifolds
- 1999 - 2002 Geometry of singularities of maps
- 1999 - 2001 Spin^q structures and the adiabatic limit
- 1999 - 2001 Global Research of Geometry related with Poisson and Contact Manifolds.
- 1998 - 1999 Study of contact structures and foliations on 3-manifolds
- 1997 - 1998 Research on the global structure of manifold
- 1997 - 1998 Research on Poisson manifolds and related structures on manifolds.
- 1997 - 1998 STUDY ON THE GROUPS OF DIFFEOMORPHISMS
- 1996 - 1996 多様体の大域幾何の研究
- 1995 - 1996 On Birational Geometry of Algebraic Varieties
- 1995 - 1995 多様体における種々の大域的構造の研究
- 1994 - 1994 多様体の大域的構造の研究
- 1993 - 1994 葉層構造の総合的研究
- 1993 - 1993 多様体の総合的研究
- 1993 - 1993 葉層構造をめぐる大域解析の研究
- 1992 - 1992 偏微分方程式の解の構造の研究
- 1991 - 1991 多様体の幾何学的構造の研究
- 1990 - 1990 微分方程式の解の定性的研究
- 1990 - 1990 代数多様体の構造
- 1988 - 1988 多様体の総合的研究
- 1987 - 1987 微分方程式の解の構造の研究とその応用
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