- 2019 - 2022 量子群研究の新展開
- 2016 - 2021 可積分系における新たな代数的組合せ論的構造の研究
- 2015 - 2019 四面体方程式と量子群
- 2011 - 2016 Studies of the algebraic and combinatorial structures related to quantum integrable systems
- 2011 - 2013 Approach to the polynomials related to representation theory from quantum integrable systems
- 2008 - 2010 Representation Theory of Quantum Groups and Integrable Systems
- 2007 - 2008 Ultradiscrete solitons and solvable lattice models
- 2005 - 2008 Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)
- 2005 - 2008 A study of commutative rings of differential operators in completely integrable models and their eigenfunctions
- 2005 - 2008 Box-ball systems and combinatorial Bethe ansatz
- 2006 - 2007 Integrable Systems and Combinatorial Representation Theory
- 2005 - 2007 Study on the fusion products and crystalbases of level-zero representations of quantum affine algebras
- 2003 - 2005 Quantum groups and discrete integrable system
- 2002 - 2004 Combinatorial Study of Crystal Bases and its Application to Discrete Integrable Systems
- 2001 - 2004 Physical Combinatorics
- 2001 - 2003 Research on algebraic structures of ultradiscrete soliton equations and applications to engineering
- 2000 - 2002 Stochastic analysis on loop space
- 2000 - 2001 Crystal basis in quantum groups and its applications
- 1999 - 2001 Affine Lie algebra characters and Bethe Ansatz
- 1997 - 1998 Combinatorial Studies of Demazure Modules
- 1996 - 1998 Mathematics of Symmetry
- 1995 - マルコフ過程の汎関数の分解とその応用
- 1995 - 量子群の対称性による量子スピン鎖模型の解析
- 1994 - スクリャ-ニン代数と可解格子模型
- 1994 - 可逆マルコフ過程の関数解析的研究
- 1993 - 量子群の可解格子模型への応用
- 1992 - 量子群と可解格子模型
- 1991 - 可解格子模型の代数的研究
- 1990 - 統計的推測に関連する最適化理論の研究
- 可積分系
- Integrable Systems
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