- 2018 - 2023 Research on arithmetic of number fields and coverings with non-commutative Galois groups
- 2015 - 2021 Representation theoretical Research on Cluster algebras and crystal bases
- 2011 - 2015 岩堀ヘッケ環および鏡映群の表現論
- 2010 - 2015 A computational research on number fields and coverings with non-commutative Galois groups
- 2010 - 2015 Construction of tropical R maps on geometric crystals and its applications to crystal bases
- 2009 - 2012 Representation of finite groups, character sums, and their applications
- 2007 - 2009 Construction of affine geometric crystals and Representation theory of crystal bases
- 2006 - 2009 Green functions and relative trace formulas
- 2006 - 2008 Representations of finite reductive groups and applications
- 2004 - 2006 Piecewise Linear Representation Theory of Quantum Groups and Geometric Crystals
- 2002 - 2004 A Study on the zeta functions attached with the irreducible representations of finite reductive groups
- 2001 - 2003 Combinatorial Representation Theory of Quantum Groups
- 2000 - 2002 Hecke環及び組みひも群の表現論
- 2000 - 2001 Study on representations of algebraic groups and finite groups, and applications
- 1997 - 1999 Lie型有限群とHecke環の表現論
- 1997 - 1999 Studies on Representations of Finite Groups and Applications
- 1995 - 1995 代数群の表現とその応用の研究
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