- 2016 - 2020 Subgroup lattices and prime graphs of finite groups
- 2012 - 2012 Generalized prime graphs and the structure of finite groups.
- 2009 - 2011 Homotopy theory on singularities of differentiable maps and K-invariant spaces of the jet spaces
- 2006 - 2008 Synthetical study of ring and representation Theory based on Quasi-Frobenius rings
- 2005 - 2006 Generalized Burnside rings and generalized prime graphs of finite groups
- 2004 - 2005 The structure of a finite simple group and prime graphs
- 2003 - 2005 Study on fundamental problems inside the undercurrent of Artinian rings
- 2002 - 2004 一般バーンサイド環と一般素数グラフによる群の構造の解明
- 2002 - 2003 Applications of the classification of finite simple groups and prime graphs
- 2001 - 2002 Study on Artinian rings with priority given to Quasi-Frobenius rings
- 2001 - 2002 A study of prehomogeneous vector spaces
- 2000 - 2001 Structure of finite simple groups and applications of the classification of finite simple groups
- 1999 - 2000 群上の算術関数を用いた群の構造の研究
- 1999 - 2000 Studies of the finiteness and the comparability for regular rings
- 1997 - 1998 The study of the finiteness for regular rings
- 1996 - 1996 無限次元代数と頂点作用素代数
- 1992 - 1992 多元環の表現論とその関連分野の総合的研究
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