- 2003 - 2005 Research on Problems Related to Random Schrodinger Operators
- 2000 - 2003 Analytical research for transcendental numbers
- 2000 - 2001 Research for low-climensional manifolds with various geometric structures
- 1998 - 1999 Finite dimensional integrable structure in systems with infinite degree of freedom
- 1997 - 1998 フラクタル理論と超越数論の組織的研究
- 1997 - 1998 Pade type approximation and its application to the number theory
- 1996 - 1996 Weil表現とHoweの対応
- 1995 - 1995 有理近似および超越数の研究
- 1995 - 1995 代数群ヘッケ環の表現とその応用
- 1989 - 1990 Modal Logic and its Applications to Real-Time Systems and A. I.
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