- 2018 - 2021 Structure of certain normal algebraic surfaces
- 2013 - 2018 Moduli spaces of algebraic varieties and self-morphisms
- 2010 - 2013 Moduli theoretic study of Fano varieties and Enriques surfaces
- 2008 - 2012 Various problems related to the classification in higher dimensional birational geometry
- 2008 - 2011 Explicit constructions of several algebraic varieties
- 2005 - 2008 Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert
- 2004 - 2007 Various aspects of pencils of algebraic curves
- 2004 - 2007 Various Problems on the Classification in Higher Dimensional Birational Geometry
- 2004 - 2006 Torus embedding and fiber space
- 2002 - 2003 Minimal models for fiber spaces
- 2000 - 2003 Classification problems in Higher Dimensional Birational Geometry
- 2001 - 2002 The structure and classification of complex analytic compactifications of C^n with the second Betti number equal to one
- 2001 - 2002 関数体上の2次形式とVerlinde公式
- 2000 - 2002 Complex symplectic manifolds and related topics
- 1998 - 2001 Study of moduli spaces, and K3 moonshine
- 1999 - 2000 複素トーラスのファイバー空間
- 1997 - 1999 Primitive Forms and Period Maps
- 1997 - 1999 Various problems related to classifications around the higher dimensional birational geometry
- 1996 - 1996 高次元代数多様体の双正則幾何
- 1996 - 1996 高次元代数多様体と共形場理論
- 1995 - 1995 擬正因子の数値的性質
- 1994 - 1994 高次元代数多様体の研究
- 1994 - 1994 代数多様体の数論の研究
- 1993 - 1993 高次元代数多様体の分類理論
- 1993 - 1993 楕円ファイバー空間の構造
- 1992 - 1993 Higher Dimensional Algebraic Varieties
- 1991 - 1992 Number theory of algebraic varieties
- 1990 - 1990 代数多様体の整数論の研究
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