- 2019 - 2023 テンソル圏の漸近解析による対称性の変容
- 2014 - 2018 Transition probability among quantum states and their asymptotic behavior
- 2010 - 2015 A csomprehensive study of symmetries of operator algebras
- 2010 - 2014 Transition probabilities between quantum states and their applications
- 2008 - 2011 On the improvement of classical inequalities and its applications to nonlinear degenerate elliptic equations
- 2006 - 2009 Quantum analysis in tensor categories and their free products
- 2006 - 2009 Research on homotopical properties of Lie groups
- 2005 - 2008 Study of free probability and operator algebras based on random matrices
- 2003 - 2005 Algebraic structures and analysis in tensor categories and quantum groupoids
- 2002 - 2005 Study of recent topics on operator algebras
- 2002 - 2003 Study of noncommutative analysis and free probability theory on operator algebras
- 2000 - 2002 Quantum symmetry in tensor categories
- 1997 - 2000 Study on subfactors
- 1997 - 1998 Arithmetic of Abelian Varieties
- 1996 - 1996 関数解析学における組み合わせ構造
- 1996 - 1996 部分多様体の剛性の研究
- 1996 - 1996 量子群の作用素環論的研究
- 1995 - 1995 複測度有界領域の幾何
- 1995 - 1995 葉層の微分幾何学的構造
- 1995 - 1995 テンサー・カテゴリの解析的研究
- 1994 - 1994 関数空間上の線形作用素の代数学的研究
- 1994 - 1994 量子群の作用素環論的研究
- 1992 - 1992 作用素の不等式とその応用
- 1992 - 1992 関数近似論における飽和理論の研究
- 1988 - 1988 関数論の関数解析的研究
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