- 2017 - 2022 非輪状複体の変形を用いたイデアル商の計算とその応用
- 2014 - 2018 Research on the powers of modules and their saturation
- 2011 - 2015 Research on Noetherian property of symbolic Rees algebras
- 2007 - 2011 Computing j-multiplicity ant its application
- 2008 - 2010 Solution of Broue's conjecture in representation Theory of finite groups
- 2003 - 2007 Research on the associated graded ring of a general filtration
- 2005 - 2007 Solution of Broue's conjecture in representation theory of finite groups
- 2002 - 2004 For the solution of Broue's conjecture in representation theory of finite groups
- 1999 - 2003 Analysis of Filtrations in Local Rings and the Associated graded rings
- 1997 - 1999 Grothendieck群に値を持つ Hilbert関数の研究
- 1993 - 1994 幾何学的側面から見た次数付き環の研究
- 1992 - 1992 代数学と幾何学における表現論とその応用
- 1990 - 1990 多元環と多様体における代数的側面と幾何的側面
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