- 2021 - 2023 Weak Arf closures of rings versus their strict closures
- 2018 - 2021 概Gorenstein環論の形成と発展
- 2016 - 2021 Study of almost Gorenstein rings
- 2014 - 2018 Developement of the theory of non-Gorenstein rings and a study of j-multiplicity
- 2013 - 2016 Structure of almost Gorenstein rings and Ulrich modules
- 2010 - 2012 Commutative algebra - towards a better understanding of non-Cohen-Macaulay rings
- 2007 - 2009 Study of blow-up rings
- 2006 - 2008 A study of vector valued Jacobi forms by a method of algebraic geometry
- 2004 - 2006 Study of graded rings associated to ideals and modules
- 2003 - 2005 Numerical equivalence on Chow groups of local rings and its applications
- 2002 - 2004 A Study on Jacobi Forms by a Method of Algebraic Geometry
- 2001 - 2003 Study of Blowing-up rings
- 2001 - 2003 整閉イデアルの族の研究
- 1999 - 2000 Study of blow-up rings
- 1998 - 2000 A study of Siegel modular forms of half integral weight by a method of algebraic geometry
- 1997 - 1998 Study of Rees algebras and form rings
- 1996 - 1996 特異点の環構造
- 1994 - 1996 Study on algebras and their representations
- 1995 - 1995 Blowing-upを手法とする特異点改良の理論的方法の研究
- 1994 - 1994 特異点改良の環論的研究
- 1993 - 1993 代数多様体上の特異点の解消とblow-up ringsの環論的研究
- 1992 - 1992 特異点解消の環論的研究
- 1991 - 1991 シンプレクティック多様体の幾何学
- 1989 - 1991 The theory of unbounded derivations in C^* -algebras and its applications to statistical mechanics
- 1990 - 1990 熱対流方程式の研究
- 1988 - 1990 正作用素の研究
- 1986 - 1988 The theory of unbounded derivations in C^*-algebras and its applications to Statistical mechanics.
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