- 2021 - 2026 Symplectic algebraic geometry and moduli spaces
- 2021 - 2026 New development of analytic torsion invariants
- 2021 - 2023 解析的捩率と大域解析に関する研究
- 2021 - 2023 解析的捩率と大域解析に関する研究
- 2016 - 2021 New development of algebraic geometry viewed from theoretical physics
- 2016 - 2021 Analytic torsion and discriminant
- 2017 - 2020 解析的捩率の幾何学的性質とその応用に関する研究
- 2013 - 2018 Moduli spaces of algebraic varieties and self-morphisms
- 2012 - 2016 Application of orbifold signature to singularities and singular fibers
- 2011 - 2016 Analytic torsion and geometry
- 2010 - 2015 New development of geometric complex analysis
- 2010 - 2015 Constructions and developments of geomerty on moduli spaces and arithmetic varieties
- 2010 - 2015 Lattices, automorphic forms, and moduli spaces
- 2011 - 2011 非線形方程式のモジュライ空間の幾何学的応用
- 2009 - 2011 Localization theory of Atiyah classes and its applications
- 2009 - 2011 Signature divisor on the moduli of curves, signature defect and its applications
- 2008 - 2011 4-MANIFOLDS AND RIEMANN SURFACES
- 2007 - 2011 Analytic torsion and geometry of moduli spaces
- 2007 - 2009 Geometrtic structures defined by differential forms (Topological Calibrations)
- 2005 - 2009 Integrated Research of Analytic and Geometric Invariants of Complex Structure
- 2004 - 2007 Period integral of algebraic varieties
- 2004 - 2006 解析的トーションと不変量
- 2002 - 2005 Global complex analysis - around L^2 holomorphic functions
- 2002 - 2005 Constructive geometry of arithmetic quotients of symmetric spaces
- 2002 - 2005 Lattices, automorphic forms and moduli spaces
- 2001 - 2004 Integrated Study of Complex Analytic Structure
- 2002 - 2003 カラビ・ヤウ多様体の解析的トーション
- 2001 - 2003 Behavior of discrete invariants of algebraic varieties under deformation
- 2001 - 2002 代数幾何学的側面から見た超幾何関数の研究
- 2000 - 2001 Analytic Torsion and Automorphic Forms with Infinite Products
- 1999 - 2001 代数幾何学的手法によるモンスターの研究
- 1999 - 2000 Arakelov geometry and its related topics
- 1998 - 2000 Special functions associated with the geometric structures on complex manifolds
- 1998 - 2000 Research on K3 surfaces
- 1998 - 1999 Research on projective structures Riemaun surfaces from analytic and geometric vieupo
- 1998 - 1999 Automorphic function on the moduli space and analytic torsion
- 1998 - 1999 Complex analysis of Bergman spaces and α-cohomology
- 1997 - 1998 Study of metric properties of Teichmuller spaces
- 1996 - 1997 COMPLEX ANALYSIS BY THE L METHOD
- 1995 - 1996 Cross-Subject Study of Geometry
- 1996 - 保型形式
- 1996 - Automorphic form
- 1995 - 1995 補間問題における幾何学的理論の構成
- 1995 - 1995 Moduli空間の解析的研究
- 1994 - 1994 2次元場の量子論と無限次元リー環及び量子群の表現論
- 1992 - 複素幾何学
- 1992 - Complex Geometry
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