- 2024 - 2026 高次元代数多様体の双有理幾何学
- 2021 - 2026 Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics
- 2021 - 2026 高次元代数多様体の双有理幾何学
- 2020 - 2025 代数多様体の自己写像に関する多角的研究
- 2019 - 2024 Geometry of the space of all variations of mixed Hodge structure over complex manifolds
- 2016 - 2021 Fusion of Birational Geometry and Theory of Periods; A New Era for Studies of Mirror Symmetry
- 2016 - 2021 Birational geometry for higher-dimensional algebraic varieties
- 2013 - 2017 Asymptotic Invariants of Higher Cohomology Groups and Applications to Complex Geometry
- 2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
- 2012 - 2017 Birational geometry for higher-dimensional algebraic varieties
- 2011 - 2016 Complex geometry of relative pluricanonical bundles and deformation spaces
- 2010 - 2015 Constructions and developments of geomerty on moduli spaces and arithmetic varieties
- 2011 - 2012 On constructing of a minimal model of fibred algebraic varieties whose Kodaira dimension is zero
- 2008 - 2012 Various problems related to the classification in higher dimensional birational geometry
- 2008 - 2011 Birational geometry of higher-dimensional algebraic varieties higher-dimensional algebraic
- 2007 - 2011 New developments and interaction between Algebraic Geometry and Integrable Systems
- 2007 - 2009 Research of multiplier ideals and tight closures from viewpoint of commutative algebra and computational algebra
- 2006 - 2009 Research on lattices, automorphic forms and moduli spaces
- 2005 - 2008 Rigid geometry and its application to number theory
- 2005 - 2007 高次元代数多様体の双有理幾何学
- 2002 - 2005 Lattices, automorphic forms and moduli spaces
- 2003 - 2003 高次元代数多様体の双有理幾何学
- 2000 - 2003 Classification problems in Higher Dimensional Birational Geometry
- 2001 - 2002 関数体上の2次形式とVerlinde公式
- 1998 - 2001 Study of moduli spaces, and K3 moonshine
- 1999 - 1999 高次元代数幾何学(対数型アバンダンス予想について)
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