- 2011 - 2016 Theory of mixed log Hodge structures and its applications
- 2007 - 2010 Theory of log mixed Hodge structures and its applications to geometry
- 2006 - 2008 Complex symplectic varieties
- 2003 - 2005 Complex symplectic varieties and derived categories
- 2000 - 2002 特異代数曲線の標準環と特殊一次系
- 2000 - 2002 Algebraic vaieties with Kodaira dimansion O and A generalization of the Bogomolor-decomposition
- 1999 - 2001 Hyper Kahler manifolds
- 1997 - 1999 Rational Curves on Algebraic Varieties
- 1996 - 1996 有限半順序集合の組合せ論における代数的基礎理論の研究
- 1994 - 1994 3次元代数多様体の極小-モデルの幾何学的研究
- 1994 - 1994 ケーラー多様体上のベクトル束の研究
- 1989 - 代数多様体の極小モデル
- 1989 - Minimal Model of algebraic Varieties
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