- 2011 - 2015 Development of nilpotent geometry and nilpotent analysis II
- 2007 - 2008 Study of various groups of homeomorphisms of noncompact manifolds
- 2003 - 2005 Study of asymptotic distribution of the Schroedinger operators with strong magnetic fields
- 2001 - 2002 Properties of mapping class groups related to Galois representations
- 1999 - 2000 Integrable geodesic flows and semi-classical approximations
- 1999 - 2000 Properties of mapping class groups rolated to Gdois representations
- 1998 - 1999 Studies on the Jacobi sum and its application to the Leopoldt conjecture
- 1997 - 1998 Study of applied representation theory in global analysis
- 1997 - 1998 Properties of mapping class groups related to Galois representations
- 1996 - 1996 非線形現象の確率的シミュレーションの研究
- 1995 - 1995 Gaussの和およびJacobiの和の研究
- 1994 - 1994 古典群の表現論と量子群の幾何学の研究
- 1990 - 1990 微分方程式と数値解析の研究
- 1989 - 1990 Topological Study of K-Theory
- コンパクト実リーマン多様体上の測地線の性質の研究
- 表現の分岐則に関する幾何学の研究
- Study of Geodesics on compact Riemannian manifolds
- Study of geometry associated with branching rules of representation
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