- 2019 - 2023 On normal canonical surfaces and admissible singularities
- 2015 - 2019 Torelli-type problem for singular algebraic curves
- 2012 - 2017 Studies of fibred complex surfaces from diversified perspectives
- 2012 - 2016 Application of orbifold signature to singularities and singular fibers
- 2012 - 2016 Study on Glois embedding of surface of non-general type
- 2011 - 2016 Theory of mixed log Hodge structures and its applications
- 2010 - 2015 Rational manifolds and Calabi-Yau manifolds in the view of complex dymanics
- 2011 - 2013 Toward the fundamental inequality for normal surface singularities
- 2009 - 2011 Signature divisor on the moduli of curves, signature defect and its applications
- 2009 - 2011 Study on the various structures of algebraic surfaces by Galois embeddings
- 2007 - 2010 Theory of log mixed Hodge structures and its applications to geometry
- 2006 - 2009 Quantum information geometrical methods in noncommutative statistics
- 2006 - 2009 Heegaard structures and geometric structures of 3-manifolds
- 2007 - 2008 Studies on local invariants of degeneration of algebraic curves via moduli map and monodromy
- 2007 - 2008 Study on the Galois embeddings of K3 surfaces
- 2006 - 2007 Explicit Study of Algebraic Varieties
- 2004 - 2007 Various aspects of pencils of algebraic curves
- 2005 - 2006 Algebraic Curves and its Applications
- 2005 - 2006 Study on Galois embeddings of algebraic surfaces
- 2003 - 2006 Study of algebraic varieties by log Hosge theory
- 2004 - 2005 Study of modulimap of degenerate families of algebraic curves and local signature arizing from automorphic form
- 2003 - 2005 Statistical Estimation Theory for Quantum Channels
- 2002 - 2003 Studis on local signature and monodromy of degenerate families of algebraic carves
- 2001 - 2003 Etale endomorphisms of algebraic varieties
- 2000 - 2003 Heegaad splittings of 3-dimensional manifolds and geometric structures
- 2001 - 2002 Research on the structures of hypersurfaces and their function fields
- 2000 - 2002 特異代数曲線の標準環と特殊一次系
- 2000 - 2002 The structure of Galois covering spaces of the protective plane
- 1999 - 2001 Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry
- 1999 - 2000 アウスランダーライテン理論における既約加群の役割について
- 1998 - 2000 Symplectic Structures and Geometry of Canonical Bundle
- 1998 - 2000 Quantum structure of Riemann surfaces and its application to low-climensional topology
- 1997 - 1998 加群の剛性とその応用
- 1997 - 1998 一般ジーゲル公式とゼータ関数
- 1996 - 1998 Algebraic Geometry and Hodge Theory
- 1996 - 1996 ファインマン積分とその摂動展開から導出される幾何学的不変量の研究
- 1996 - 1996 有限シュバレー群環上におけるデイド予想
- 1996 - 1996 ケーラー多様体上の相対エントロピー
- 1995 - 1996 Nonlinear Schrodinger eqnations on riemannian manitolds
- 1995 - 1996 Geometric Study of Algebraic Systems
- 1995 - 1995 保型形式とオイラー積の和としてのゼータ関数
- 1995 - 1995 数理物理学における偏微分方程式と擬微分作用素論
- 1994 - 1994 標準曲面の2次包
- 1994 - 1994 代数多様体の構造と位相の研究ジャコビアン予想の解決に向けて
- 1992 - 1993 Higher Dimensional Algebraic Varieties
- 1992 - 1992 アダマール多様体の研究
- 1991 - 1991 Fano多様体の位相及び代数構造の研究
- 1989 - 1989 偏微分方程式の実および複素解析的研究
- 1989 - 1989 代数多様体と解析的構造
- 1989 - 1989 代数幾何学とHodge理論
- 一般型代数曲面の研究
- Study on Algebraic Surfaces of General Type
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