- 2018 - 2023 Bicategorical covering theory and derived equivalence classifications
- 2013 - 2019 Diversified research of ring theory and representation theory with derived categories as its center
- 2013 - 2016 2-categorical covering theory for algebras
- 2009 - 2012 Equivalences of derived categories of algebras and Lie algebras realized by Ringel-Hall algebras of algebras
- 2009 - 2011 Representation theoretical research on algebraic structures of rings and module categories
- 2007 - 2010 Modular representation theory of algebraic groups
- 2007 - 2010 Modular and integral representations of finite groups and algebras
- 2007 - 2009 Research on representation theory of algebraic groups and quantum groups via algebraic analysis
- 2007 - 2008 Research on algebraic properties of categories of modules and structures of Frobenius algebras
- 2006 - 2008 Structure of the derived categories of block algebras with non-commutative defect groups
- 2006 - 2008 Synthetical study of ring and representation Theory based on Quasi-Frobenius rings
- 2005 - 2008 Derived categories of algebras and realization of Lie algebras via Hall algebras
- 2003 - 2005 Investigation into algebraic structure of the category of representations of finite demensional algebras
- 2002 - 2004 Derived equivalence classification of self-injective algebras
- 2001 - 2003 Representation Theory of Finite Groups
- 2001 - 2003 SPECIAL VALUES OF AUTOMORPHIC L-FUNCTIONS BY RELATIVE TRACE FORMULAS
- 1999 - 2000 RESEARCH ON THE MODULAR REPRESENTATIONS OF FINITE GROUPS
- 1998 - 1999 Representation Theory of Algebras
- 1998 - 1999 Investigation of Frobenius algebras of infinite representation type
- 1998 - 1999 A Study on Broue's Conjecture in Representation Theory of Finite Groups
- 1997 - 1998 RESEARCH ON THE MODULAR REPRESENTATIONS OF FINITE GROUPS
- 1995 - 1995 リーマン多様体の収束とディリクレ空間
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