- 2006 - 2008 The study on the ideal boundary of Riemann surfaces
- 2002 - 2003 Ideal boundary of covering surfaces
- 2000 - 2001 Research on Martin and Kuramochi boundaries of covering surfaces
- 1998 - 2000 Formal Languages, Codes and Cryptosystems
- 1998 - 1999 Research on Martin and Kuranochi boundaries of covering surfaces
- 1997 - 1999 Studies on arithmetic automorphic forms and zeta functions
- 1996 - 1997 ANALYTICAL RESEARCH ON FORMATION OF TIME DEPENDENT INHOMOGENEOUS STRUCTURE IN REACTION-DIFFUSION SYSTEMS
- 1995 - 1995 葉層構造とベクトル場の位相幾何学的研究
- 1994 - 1994 オートマトン・形式言語およびコードの代数的研究
- 1993 - 1993 複素多様体とその理想境界の構造についての研究
- 1992 - 1992 葉層の位相幾何学的研究
- 1990 - 1990 楕円的リ-マン面の一変形の研究
- 開リーマン面の理想境界
- Ideal boundaries of open Riemann surfaces
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