- 2021 - 2026 Symplectic algebraic geometry and moduli spaces
- 2021 - 2026 Arakelov geometry over adelic curves
- 2016 - 2021 New development of algebraic geometry viewed from theoretical physics
- 2017 - 2020 Studies on Diophantine Geometry and Arakelov geometry
- 2013 - 2018 Moduli spaces of algebraic varieties and self-morphisms
- 2011 - 2016 Analytic torsion and geometry
- 2010 - 2015 Constructions and developments of geomerty on moduli spaces and arithmetic varieties
- 2008 - 2011 非可換岩澤理論とその周辺
- 2007 - 2009 Higher dimensional category and its applications
- 2006 - 2009 Research on algebraic topology and its geometric applications
- 2005 - 2008 Diophantine geometry and moduli problems
- 2004 - 2006 Homotopy Theoretic Study of Higher Dimensional Categories
- 2003 - 2006 Research on Application of Computer Algebra to Algebraic Geometry
- 2002 - 2006 Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.
- 2003 - 2005 Homotopical Algebra and its Geometric Applications
- 2003 - 2005 Complex symplectic varieties and derived categories
- 2002 - 2004 Many-sided researches on rationally connected projective varieties-Fano varieties are unirational ?
- 2001 - 2004 Moduli spaces and arithmetic geometry
- 2000 - 2002 Algebraic Geometry, Differential Geometry and Topology of Manifolds
- 1999 - 2000 Arakelov geometry and its related topics
- 1998 - 2000 Study of Moduli and its Applications
- 1998 - 1998 代数幾何学と計算機代数、符号理論
- 1996 - 1996 代数体又は関数体上で定義された代数多様体の有理点の分布
- 1996 - 1996 アラケロフ幾何とその応用
- 1992 - 1993 Higher Dimensional Algebraic Varieties
- 1990 - 1990 代数多様体および複素多様体の研究
- 1988 - 1988 複素多様体の研究
- 1987 - 1987 高次元代数多様体及び複素多様体の双有理幾何の研究
- 代数多様体の有理点
- Rational points on algebraic vavieties
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