- 2015 - 2020 Study of the topology of gauge groups
- 2013 - 2016 Homotopy noncommutativity of loop spaces
- 2011 - 2014 ホモトピー論の研究と幾何学への応用
- 2010 - 2014 Topological complexity and L-S theory
- 2006 - 2010 New development of geometry based on topological field theory
- 2007 - 2009 Higher dimensional category and its applications
- 2007 - 2009 Overall study of topology
- 2006 - 2009 Research on algebraic topology and its geometric applications
- 2005 - 2008 Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom
- 2005 - 2007 Synthetic Studies ofTopology
- 2004 - 2006 Homotopy Theoretic Study of Higher Dimensional Categories
- 2003 - 2005 Homotopical Algebra and its Geometric Applications
- 2001 - 2005 Moduli space, Homotopical algebra, Field theory
- 2001 - 2004 物理学に刺激されて生まれた種々の幾何学
- 2001 - 2003 Algebraic topology and formal group law
- 2001 - 2002 ホモロジー論におけるカテゴリー論的手法
- 2000 - 2002 Global structure of dynamical systems and their bifurcations
- 2000 - 2002 Algebraic Geometry, Differential Geometry and Topology of Manifolds
- 1998 - 2000 Study of Moduli and its Applications
- 1997 - 2000 RESEARCH ON HIGHER SIGNATURES
- 1997 - 2000 Moduli space and infinite dimensional geometry
- 1998 - 1999 Classifying spaces of Categories, Flore Homology and Homotopsy Theory of Infinite Complexes
- 1996 - 1997 Topology of manifolds and geometric structures
- 1996 - 1997 Study on elliptic cohomology theory
- 1995 - 1996 Categorical Algebra and Topological Field Theory
- 1993 - 1995 Structure and symmetries of integrable systems
- 1994 - 1994 代数多様体の退化とゼータ関数
- 1993 - 1994 Topologs of manifolds and mathematical plysics
- 1993 - 1994 Algebraic and Geometric Study on the Structure of Moduli Spaces
- 1992 - 1992 量子群の表現に現われる函数方程式
- 1990 - 1990 代数多様体および複素多様体の研究
- 1989 - 1990 Topological Study of K-Theory
- 1988 - 1988 複素多様体の研究
- 1988 - 1988 多様体の位相的・代数的研究
- 1988 - 1988 ホモトピー論と関連分野の総合的研究
- 1987 - 1988 Geometry of manifolds
- 1987 - 1987 Lie superalgebraおよびLie群の表現の総合的研究
- 1987 - 1987 K-理論の位相的研究
- 1986 - 1986 ゲージ変換群のホモトピー論的性質
- 1986 - 1986 多様体の位相的・代数的研究
- 1985 - 1985 リー群の位相幾何学的研究
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