- 2016 - 2021 半順序構造の組合せ論と量子対称性
- 2010 - 2015 Combinatorics of finite-dimensional algebras and quantum symmetry
- 2007 - 2010 Orbifold cohomology and generalization of the McKay correspondence
- 2007 - 2009 Combinatorial structures of flag varieties and quantum deformation
- 2004 - 2006 旗多様体の量子コホモロジー環に関する研究
- 2003 - 2005 Complex symplectic varieties and derived categories
- 2003 - 2005 Parabolic Kostka polynomials, quiver varieties, crystal bases and tropicalcombinatorics
- 1997 - 2000 Integrable systems with infinite degrees of freedom
- 1997 - 1999 弦双対性の代数幾何学的側面
- 旗多様体の量子コホモロジー環の研究
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