- 2019 - 2024 新しい対角化の手法による量子系の厳密解の研究
- 2012 - 2016 Applications of exact solutions and numerical techniques in lattice spin models to biological systems.
- 2007 - 2010 Fractal structure of lattice models and applications to equilibrium and non-equilibrium systems
- 2005 - 2006 格子模型のフラクタル構造と力学系への応用
- 2000 - 2002 Floer homology, string theory and contact geometry
- 1999 - 2002 Analytic Integral and its applications
- 1998 - 1999 スピングラスの確立論的研究
- 1998 - 1999 Gauge theory and sympletic, contact geometry
- 1997 - 1999 Quantum White Noise and Infinite Dimensional Harmonic Analysis
- 1997 - 1998 Infinite Dimensional Analysis and Quantum Probability Theory
- 1997 - 1997 無限次元解析と量子確率
- 1996 - 1997 Gauge theory on 2,3 and 4-dimensional manifolds and geometry
- 1996 - 1996 量子確率過程の超関数論的研究
- 1996 - 1996 q差分属と接続行列
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