- 2022 - 2027 ワイエルストラス表現公式の類似と特異点における延長問題
- 2021 - 2026 Differential geometrey of singularities and its applications
- 2017 - 2022 Singularities of surfaces and hypersurfaces in Lorentzian space forms
- 2016 - 2021 Study on geometric structures of singularities of the mean curvature type flow
- 2014 - 2019 Promotion of the study of curves, surfaces and hypersurfaces with singularities from the view point of differential geometry
- 2014 - 2018 Surfaces with singularities in space-times and Weierstrass-type representation formulas
- 2012 - 2016 The latest frontier study on geometry and theory of eigenvalues
- 2011 - 2015 Development of Integrable Geometry
- 2010 - 2015 Differential geometric research on surfaces admitting singularities and its application
- 2010 - 2015 Geometry of curves, surfaces and hypersurfaces with singularities
- 2009 - 2014 Weierstrass-type representation formulas and their application to surfaces with singularities
- 2010 - 2012 Stability and bifurcation for periodic minimal surfaces and surfaces with constant mean curvature, and applications to other fields
- 2007 - 2010 Geometry of curves and surfaces with singularities
- 2007 - 2010 Fusion of geometry and the theory of integrable systems
- 2006 - 2009 Classical differential geometry from the modern viewpoint and its application
- 2006 - 2008 Generalizations of Weierstrass-type representation formula and their applications to theory of surface with singularities
- 2005 - 2007 GLOBAL CONSTRUMONS OF MODULI SPACES
- 2004 - 2007 Development and relations between various geometries and integrable systems
- 2003 - 2006 The global behavior of curves and surfaces in space forms
- 2003 - 2006 Application of integrable systems methods to surfaces with particular variational properties
- 2003 - 2005 Classical differential geometry from the modern viewpoint and its applications
- 2002 - 2005 Generalizations of Weierstrass-type representation formulae and applications
- 2002 - 2004 TOPOLOGY OF MODULI SPACES AND REPRESENTATION THEORY
- 2001 - 2004 Theory of collapsing Riemannian manifolds and geometry of Alexandrov spaces
- 2002 - 2003 Differential equations and theory of submanifolds
- 2000 - 2003 GEOMETRY OF LAPLACE OPERATOR OR ITS VARIATION TYPE OPERATOR ON RIEMANNIAN MANIFOLD (2003)
- 2001 - 2002 Research on surfaces of constant mean curvature one in hyperbolic space and its application
- 2000 - 2002 Modern Research of Affine and Projective Geometry and its Applications
- 2000 - 2002 Morse index of constant mean curvature surfaces and discrete constant mean curvature surfaces
- 1999 - 2002 Geometry of space of Riemannian manifolds
- 1999 - 2002 Integrated research of the general hypergeometric systems and nonlinear integrable systems
- 1999 - 2001 極小曲面による3次元アレクサンドロフ空間の分類理論の創始
- 1999 - 2001 Morse index and heat kernel of constant mean curvature surfaces
- 1999 - 2001 DIFFERENTIAL GEOMETRIC RESEARCH ON SUBMANIFOLDS
- 1998 - 2000 Construction of submanifold with constant mean curvature, and its applications
- 1997 - 1999 The Spectral Geometry on the submanifold of (pseudo-) Euclidean space
- 1997 - 1999 Research for manifolds with conformal structure
- 1997 - 1998 Toward a unified theory of special functions of several variables
- 1997 - 1998 Representation formulas of Weierstrass type in submanifold theory
- 1996 - 1996 一般合流型超幾何関数のなすヒエラルキーの構造の研究
- 1996 - 1996 Toward a unified theory special functions of several variables
- 1995 - 1996 Differential Geometric Reserch on Manifolds
- 1995 - 1995 双曲型空間の極小曲面
- 1994 - 1994 双曲型空間の一定な平均曲率をもつ曲面
- 1993 - 1993 3次元空間型の一定な平均曲率をもつ曲面に対する表現公式
- 1990 - 1990 ブラウン運動の超汎関数とFeynmanの経路積分および量子場の理論
- 1984 - Differential Geometry
- 1984 - 微分幾何学
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