- 2015 - 2018 Study on diffeomorphism groups and geometric structure on ends of noncompact manifolds
- 2012 - 2016 Embedding problems related to asymptotic dimension in coarse geometry
- 2010 - 2013 非コンパクト多様体上の測度保存同相群・微分形式保存微分同相群の位相的研究
- 2010 - 2012 Topology of Infinite-Dimensional Manifolds and Inductive Limits
- 2009 - 2011 Cohomological dimension theory in coarse geometry
- 2007 - 2008 非コンパクト多様体上の幾何構造を保つ同相写像のなす群の研究
- 2005 - 2007 Topology of hyperspaces, mapping spaces and universal spaces
- 2004 - 2006 Construction of exotic homology manifolds and generalization of Quinn index
- 2003 - 2004 Properties of mapping class groups related to Galois representations
- 2002 - 2004 Topology of Infinite-Dimensional Manifolds and Universal Spaces
- 2002 - 2003 Research on cohomological dimension of topological spaces and one of Coxeter groups
- 2000 - 2003 STUDIES ON BEHAVIORS OF SOLUTIONS DIFFERENTIAL EQUATIONS
- 2001 - 2002 Properties of mapping class groups related to Galois representations
- 2000 - 2001 Open Riemann surfaces and quasiconformal mappings
- 1999 - 2000 Study of homotopy types and topological types of homeomorphism groups and their subgroups of 2 and 3-manifolds
- 1999 - 2000 Properties of mapping class groups rolated to Gdois representations
- 1998 - 2000 Studies on Infinite-Dimensional Manifolds and Menger Manifolds, and their Applications
- 1998 - 1999 Studies on Spectral Structure of Shrodinger Operators with Electromagnetic Fields
- 1998 - 1999 Studies on Differential Equations in Quantum Mechanics
- 1998 - 1999 Studies on the Jacobi sum and its application to the Leopoldt conjecture
- 1997 - 1998 A research of moving open Riemann surfaces
- 1997 - 1998 Study of applied representation theory in global analysis
- 1997 - 1998 Properties of mapping class groups related to Galois representations
- 1996 - 1996 変動するリーマン面の研究
- 1996 - 1996 Jacobiの和の円分体への応用に関する研究
- 1995 - 1995 確率過程の大域的性質の研究
- 1995 - 多様体の同相群,微分同相群の研究
- 1993 - 1993 4次元多様体上の微分構造の研究
- 1993 - 1993 数論の学際的研究
- 1987 - 1987 Decomposition写像のLeray-Serreスペクトル列の研究
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