- 1994 - 現在 Theory of minimal surfaces
- 2021 - 2024 Research on integrable geometry and submanifolds
- 2011 - 2024 Geometry of integral systems, Symplectic Geometry, Hypersurface Geometry
- 2015 - 2020 New development of the integrable geometry
- 2014 - 2018 Geometric value distribution theory
- 2012 - 2017 Discrete Geometric Analysis for Quantum Spin System
- 2014 - 2016 部分多様体の幾何学の展開と応用
- 2011 - 2015 Value distribution theory of bounded domains
- 2011 - 2015 Development of Integrable Geometry
- 2010 - 2015 Geometry of curves, surfaces and hypersurfaces with singularities
- 2009 - 2012 Exploitation of new relations between differential geometry and quantum cohomology in the context of integrable systems
- 2007 - 2010 Geometry of curves and surfaces with singularities
- 2007 - 2010 Fusion of geometry and the theory of integrable systems
- 2006 - 2009 Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics
- 2006 - 2008 Generalizations of Weierstrass-type representation formula and their applications to theory of surface with singularities
- 2006 - 2008 Research on quantum cohomology, Frobenius manifolds, and harmonic maps related to integrable systems
- 2004 - 2007 Development and relations between various geometries and integrable systems
- 2006 - 2006 コーク大学を拠点とした幾何学に関する国際連携研究教育推進準備企画
- 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
- 2002 - 2005 Generalizations of Weierstrass-type representation formulae and applications
- 2002 - 2005 Applied singularity theory to exterior differential systems
- 2002 - 2005 Geometry and topology of integrable systems, with computer-aided experimentation and visualization
- 2002 - 2003 Differential equations and theory of submanifolds
- 2001 - 2003 Functinal analytic approach to reseaches on deformation and stability of surfaces with constant mean curvature
- 2001 - 2003 Differential geometry of harmonic maps, minimal submanifolds and Yang-Mills-Higgs equations
- 2000 - 2003 Construction of submanifolds via integrable systems
- 2000 - 2001 Differential systems and submanifolds theory
- 1999 - 2001 DIFFERENTIAL GEOMETRIC RESEARCH ON SUBMANIFOLDS
- 1998 - 1999 Bubbling phenomenons of harmonic maps and their compactification
- 1997 - 1999 Projective structures on compex manifolds
- 1998 - 1998 幾何学における超幾何系の新展開
- 1997 - 1998 Geometry related to harmonic maps
- 1997 - 1998 Uniformization for smooth manifolds
- 1997 - 1998 Various problems in Hamiltonian dynamical systems and related topics in geometry and analysis
- 1997 - 1998 Structure of positive solutions to second order elliptic and parabolic partial differential equations
- 1996 - 1996 調和写像に関係する幾何学
- 1996 - 1996 大域的複素解析の研究
- 1995 - 1996 Differential Geometric Reserch on Manifolds
- 1995 - 1995 部分多様体と調和写像の微分幾何学
- 1992 - 1992 多様体上の葉層構造と力学系
- 1989 - Theory of G-structure
- 1982 - Hypersurface theory
- 1976 - Theory of harmonic maps and integrable systems
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