- 2021 - 2026 標準束の複素幾何学; 標準計量の退化と漸近挙動の研究
- 2016 - 2021 Complex geometry of the canonical bundle; Study of deformations and degenerations of complex manifolds.
- 2010 - 2015 New development of geometric complex analysis
- 2010 - 2012 On families of rational curves and Fano varieties.
- 2011 - 相対標準束と変形空間の複素幾何学
- 2007 - 2011 複素多様体の退化族における多重標準束と乗数イデアル層の研究
- 2007 - 2009 Research on rationally connected varieties
- 2006 - 2009 Study of complex analysis from a point of view of parabolic geometry
- 2005 - 2009 Integrated Research of Analytic and Geometric Invariants of Complex Structure
- 2003 - 2007 乗数イデアル層の複素幾何学における基礎付けとその応用
- 2005 - 2007 GLOBAL CONSTRUMONS OF MODULI SPACES
- 2005 - 2006 一般型代数多様体の特異ケーラー・アインシュタイン計量とその極小モデルプログラムとの関係
- 2003 - 2005 Function theory of several complex variables on psudoconvex complex manifolds with group structures
- 2002 - 2005 Global complex analysis - around L^2 holomorphic functions
- 2002 - 2005 From Stability, Riemann-Roch to Non-Abelian Zeta Functions
- 2002 - 2005 Complex analysis of L holomorphic functions on pseudoconvex domains of finite type
- 2002 - 2004 TOPOLOGY OF MODULI SPACES AND REPRESENTATION THEORY
- 2002 - 2004 Many-sided researches on rationally connected projective varieties-Fano varieties are unirational ?
- 2001 - 2004 Theory of collapsing Riemannian manifolds and geometry of Alexandrov spaces
- 1999 - 2000 複素代数多様体上の随伴束と基本群の関係についての研究
- 1998 - 2000 Symplectic Structures and Geometry of Canonical Bundle
- 1997 - 1998 弱一完備多様体の射影空間への大域的埋め込みについての研究
- 1996 - 1996 代数系及び数論に現れるGrowthの構造
- Pluri-canonical systems and existence of holomorphic functions on complex manifolds.
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