- 2016 - 2020 球関数に基づくp進等質空間の調和解析的研究
- 2012 - 2016 Explicit formulas of $p$-adic spherical functions and their applications
- 2011 - 2015 Arithmetic study of automorphic forms of many variables by various method
- 2012 - 2015 p進球関数の明示的公式とその応用
- 2012 - 2015 Explicit formulas of $p$-adic spherical functions and their applications
- 2008 - 2011 Spherical functions on p-adic homogeneous spaces and those applications
- 2007 - 2010 Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties
- 2002 - 2005 Constructive geometry of arithmetic quotients of symmetric spaces
- 2001 - 2003 Harmonic analysis on weakly spherical homogeneous spaces and its application to number theory.
- 2000 - 2003 A study on relations between the theory of prehomogeneous vector spaces, the theory of group representations and the theory of automorphic forms
- 1998 - 2000 Theory of automorphic forms and arithmetic into functions
- 1997 - 1999 Zeta functions on weakly spherical homogeneous spaces
- 1997 - 1999 Spherical functions on p-adic homogeneous spaces.
- 1991 - 1993 Reserch on loop spaces related to mathematical physics
- 1988 - 1988 代数多様体の研究
- 1987 - 1987 保型形式に関連するL-関数の研究
- ホップ代数の構造とその周辺の研究
- Hecke環の表現と対称空間
- 群多元環とその根基の構造に関する研究
- 対称空間上の球関数
- Arithmetic of automorphic forms of many variable : reconstruction of the foundation
- Explicit study on automorphic structure in algebra and zeta functions.
- Relation between automorphic forms and zeta functions associated with prehomogeneous vector spaces
- Researches on zeta functions of prehomogeneous vector spaces
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