- 2015 - 2019 Research on direct sum decompositions of lifting modules and its application
- 2014 - 2018 Study on quasi-Frobenius rings based on the Faith conjecture
- 2011 - 2013 Faith conjecture and related studies
- 2009 - 2011 VON NEUMANN REGULAR RINGS WITH COMPARABILITIES
- 2008 - 2010 Research on inequalities related to classical or quantum entropy
- 2006 - 2008 Synthetical study of ring and representation Theory based on Quasi-Frobenius rings
- 2005 - 2007 Research on Frobenius Rings and Related Problems
- 2003 - 2005 Study on fundamental problems inside the undercurrent of Artinian rings
- 2003 - 2004 Hessian Geometry and Information Geometry
- 2002 - 2003 数式処理の制御工学への応用
- 2001 - 2002 Study on Artinian rings with priority given to Quasi-Frobenius rings
- 2000 - 2001 Research of quasi-Frobenius rings and representation theory
- 1999 - 2000 破壊の数理モデルのコード化
- 1999 - 2000 Error Correcting Codes
- 1999 - 2000 Studies of the finiteness and the comparability for regular rings
- 1998 - 1999 Mean values and Asymptotic Behavior on Arithmetical Functions
- 1998 - 1999 Study on Artinian rings with self-duality
- 1997 - 1998 Global properties of singularities
- 1997 - 1998 The study of the finiteness for regular rings
- 1997 - 1998 Study on Submanifold Theory of Compact Riemannian Symmetric Spaces
- 1993 - 1993 多様体と特異点の研究
- 1992 - 1992 有限群のコホモロジー論の研究
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