- 2023 - 2028 Discrete structures related to hyperplane arrangements, generalization, deepening, and applications
- 2020 - 2025 New developments of computer-aided research in algebraic geometry
- 2020 - 2025 格子、保型形式とK3曲面、エンリケス曲面の研究
- 2020 - 2023 Generalized Hodge conjecture and Lefschetz-Milnor theory for Hilbert schemes
- 2018 - 2023 Explicit study of hyperplane arrangements and related stratified spaces via discrete structures
- 2016 - 2021 Computational study of algebraic geometry
- 2016 - 2020 Research of Chow group using deformation
- 2015 - 2020 Research of lattices, automorphic forms and moduli spaces
- 2015 - 2020 Geometric structures and combinaorial structures of 3-manifolds
- 2016 - 2019 Combinatorial structure on algebraic varieties in positive characteristics
- 2015 - 2016 格子、保型形式とモジュライ空間の研究
- 2013 - 2016 Computational study of K3 surfaces
- 2011 - 2016 New developments in number theoretic geometry, topology, and algorithm
- 2012 - 2015 Arithmetic and Geometry over Calabi-Yau Varieties
- 2012 - 2015 Research on the McKay correspondence and derived categories
- 2010 - 2015 Geometric structure and combinatorial structure of 3-dimensional manifolds
- 2010 - 2015 Lattices, automorphic forms, and moduli spaces
- 2009 - 2014 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- 2011 - 2012 Higher dimensional braid monodromy
- 2010 - 2012 Branched covers and topology of open algebraic surfaces
- 2009 - 2011 Moduli spaces and derived categories
- 2008 - 2011 Research on the geometry of the projective hypersutfaces and plane curves
- 2008 - 2011 K3 surfaces and related algebraic varieties
- 2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
- 2007 - 2009 Branched covers and Zariski pairs
- 2006 - 2009 Research on lattices, automorphic forms and moduli spaces
- 2006 - 2008 Research on derived categories in algebraic geometry
- 2006 - 2008 THE RING OF DIFFERENTIAL OPERATORS ON AN AFFINE TORIC VARIETYAND ITS APPLICATIONS
- 2005 - 2008 Research on geometry related to theta functions
- 2006 - 2007 Explicit Study of Algebraic Varieties
- 2004 - 2007 Various aspects of pencils of algebraic curves
- 2004 - 2006 Hypersurface singularity theory from fundamental group
- 2003 - 2005 Residues on Singular Varieties
- 2002 - 2004 Todd類の源を求めて
- 2002 - 2004 Fundamental groups of algebraic varieties
- 2002 - 2003 Geometry of branched Galois covers and number theory
- 2001 - 2003 Moduli Spaces and Special Functions
- 2000 - 2003 A STUDY ON THE GEOMETRY OF MODULI SPACES
- 2001 - 2002 Integrable geodesic flows and Masloy's quantization condition
- 2001 - 2002 代数幾何学的側面から見た超幾何関数の研究
- 1999 - 2001 モジュライのコンパクト化と閉軌道空間
- 1999 - 2001 Research on Characteristic Classes of Singular Varieties
- 1999 - 2000 正標数の高次元代数多様体の代数的サイクルと格子理論
- 1999 - 2000 Integrated study on problems related to branched Galois covers
- 1997 - 1999 Study of Singularity Theory From Fundamental Group
- 1996 - 1999 Study of singularities and geometry by means of representation theory
- 1997 - 1998 開代数多様体の基本群とモノドロミー表現
- 1994 - 1995 Study on Complex Manifolds
- 1994 - 1994 正標数の代数多様体の特異点の研究.および開代数多様体の基本群の研究
- 1992 - 1992 複素多様体の研究
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