- 2022 - 2026 数論的対象のq類似の包括的研究
- 2018 - 2021 多重ゼータ値のq類似およびその特殊化の代数解析的研究
- 2014 - 2017 Algebraic analysis of difference equations arising from integrable systems
- 2011 - 2013 Analysis of the solution space for the quantum KZ equation and its applications to integrable systems
- 2009 - 2011 Realization of the crystal bases of level-zero representations of quantum affine algebras as algebraic cycles
- 2008 - 2010 Representation theoretical structure in massive integrable quantum field theories
- 2005 - 2008 Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)
- 2006 - 2007 Studies on uantum integrable systems : algebraic structure and correlation functions
- 2005 - 2007 Study on the fusion products and crystalbases of level-zero representations of quantum affine algebras
- 2005 - 2007 量子可積分系における物理量の代数的構造
- 2002 - 2003 有質量な可積分場の模型における表現論的構造
- 1999 - 2001 レベル0のQKZ方程式と周期積分の量子化について
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