- 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
- 2015 - 2018 Studies on diameter conjecture on flat tori in the unit sphere
- 2014 - 2018 Surfaces with singularities in space-times and Weierstrass-type representation formulas
- 2013 - 2018 特異点をもつ曲線,曲面と超曲面の微分幾何学的研究の推進
- 2012 - 2015 Studies on some open problems concerning flat tori in odd dimensional spheres
- 2011 - 2015 Development of Integrable Geometry
- 2010 - 2015 Differential geometric research on surfaces admitting singularities and its application
- 2010 - 2014 A research on the geometric singularities of non-linear phenomena
- 2009 - 2014 Weierstrass-type representation formulas and their application to surfaces with singularities
- 2008 - 2013 Geometry of Ricci solitons on complex manifolds
- 2010 - 2013 特異点をもつ曲線,曲面と超曲面の幾何学
- 2010 - 2012 Geometric structures defined by differential forms (Calabi-Yau structures, generalized Kaeher structures)
- 2007 - 2010 Fusion of geometry and the theory of integrable systems
- 2006 - 2009 Heegaard structures and geometric structures of 3-manifolds
- 2006 - 2009 Differential Geometry and Partial Differential Equations as an application of Singularity theory
- 2006 - 2008 Generalizations of Weierstrass-type representation formula and their applications to theory of surface with singularities
- 2004 - 2007 Existence Problem of Fxtremal Metran and Degeneration of Balanced Metrics
- 2003 - 2006 The global behavior of curves and surfaces in space forms
- 2002 - 2005 Generalizations of Weierstrass-type representation formulae and applications
- 2002 - 2005 Variational problem and evolution equation of curves and surfaces
- 2002 - 2003 Differential equations and theory of submanifolds
- 2001 - 2002 Research on surfaces of constant mean curvature one in hyperbolic space and its application
- 2000 - 2001 Differential systems and submanifolds theory
- 2000 - 2001 Special'Holonomy Group and Supersymmetric Cycle
- 1999 - 2000 Geometry of surfaces in space forms
- 1997 - 1999 シンプレクティック多様体の構造論と新しい不変量の定義
- 1997 - 1999 Global analysis of curves and surfaces
- 1997 - 1998 A Modern Approach to Geometry of Curves and Surtaces and its Applications
- 1995 - 1996 Nonlinear Schrodinger eqnations on riemannian manitolds
- 1995 - 1995 ファインマン積分とその摂動展開から導出される幾何学的不変量の研究
- 1995 - 1995 3次元双曲型空間の平均曲率1の曲面
- 1995 - 1995 3次元多様体のへガード分解と群の階数
- 1994 - 1994 3次元ユークリッド空間の極小曲面とその自然な双曲型空間への変形について
- 1994 - 1994 弾性波動方程式の研究
- 1993 - 1993 双曲的ガウス写像による3次元双曲型空間内の平均曲率1の曲面の構成
- 1993 - 1993 物理数学の方程式と擬微分作用素論
- 1992 - 1992 代数多様体のHodge理論
- 1992 - 1992 複素多様体の基本群と分岐被覆
- 1992 - 1992 リーマン面上のベクトル束の幾何学
- 1990 - 1990 ホップ代数,代数群,量子群の表現とその応用
- 1990 - 1990 極小部分多様体とその位相的,群論的研究
- A construction of minimal surfaces in the Euclidean 3- space with prescribed flux
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