Goto Ryushi

Affiliation and department：

Research field (1)： Other

Research theme for competitive and other funds (40)：

2021 - 2024 Complex geometric structures and their moduli on Lie groups and homogeneous spaces
2019 - 2024 Geometry of the space of all variations of mixed Hodge structure over complex manifolds
2020 - 2023 Three problems of generalized complex geometry and generalized Kahler geometry
2018 - 2023 Kobayashi-Hitchin correspondence and Donaldson-Tian-Yau conjecture on generalized complex geometry
2016 - 2020 Generalized complex structures, 4 dimensional differential topology, noncommutative algebraic geometry and derived category

2016 - 2020 Studies on noncommutative algebraic geometry and generalized complex geometry

2013 - 2019 The study of the existence problem in the Donaldson-Tian-Yau conjecture

2013 - 2018 Integrated research of Calabi-Yau structures and generalized complex structures

2014 - 2016 ツイスター空間の幾何学

2013 - 2016 Research on generalized geometric structures, 4 dimensional differential topology and derived category

2011 - 2016 Complex geometry of relative pluricanonical bundles and deformation spaces

2010 - 2015 Geometry of twistor spaces

2010 - 2015 Rational manifolds and Calabi-Yau manifolds in the view of complex dymanics

2010 - 2015 Geometry of curves, surfaces and hypersurfaces with singularities

2008 - 2013 Geometry of Ricci solitons on complex manifolds

2010 - 2012 Geometric structures defined by differential forms (Calabi-Yau structures, generalized Kaeher structures)

2007 - 2010 Geometry of curves and surfaces with singularities

2007 - 2009 Geometrtic structures defined by differential forms (Topological Calibrations)

2006 - 2008 Geometry of twistor spaces

2006 - 2008 Complex symplectic varieties

2004 - 2007 Existence Problem of Fxtremal Metran and Degeneration of Balanced Metrics

2003 - 2005 コンパクト非ケーラー多様体の研究

2003 - 2005 Unified approach of Ricci-flat manifolds

2003 - 2005 Geometry of twistor spaces

2003 - 2005 Complex symplectic varieties and derived categories

2002 - 2005 Variational problem and evolution equation of curves and surfaces

2002 - 2003 概複素幾何における崩壊現象の研究

2000 - 2002 Geometry of twistor spaces

2000 - 2002 Algebraic vaieties with Kodaira dimansion O and A generalization of the Bogomolor-decomposition

1999 - 2002 Geometry of space of Riemannian manifolds

1999 - 2001 Hyper Kahler manifolds

1999 - 2000 4-dimensional topology and topological field theory.

1998 - 1999 Hyperkahler計量と開代数多様体

1998 - 1999 Geometry of twistor space

1997 - 1999 Rational Curves on Algebraic Varieties

1997 - 1998 超ケーラー多様体

1995 - 1995 Hyper-Kahler多様体と無限次元ゲージ理論

1994 - 1994 Hyper-Kahler多様体の研究

1994 - 1994 ケーラー多様体上のベクトル束の研究

1993 - 1993 主バンドル上のアインシュタイン計量の研究

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Papers (21)：

Ryushi Goto. Kobayashi-Hitchin correspondence of generalized holomorphic vector bundles over generalized Kahler manifolds of symplectic type. arXiv:1903.07425, Int. Math. Res. Not. IMRN, Published: 16 March 2023. 2023
Ryushi Goto. Matsushima-Lichnerowicz type theorems of Lie algebra of automorphisms of generalized Kähler manifolds of symplectic type. Mathematische Annalen. 2022. 384. 1-2. 805-855
Ryushi Goto. Moduli spaces of Einstein-Hermitian generalized connections over generalized Kahler manifolds of symplectic type. Rivista di Matematica della Università di Parma, Volume 13 (2022) number 2, Proceedings of the meeting "Cohomology of Complex Manifolds and Special Structures, II" - Levico Terme (Trento), July 5-9, 2021, Proceedings of the meeting "Cohomology of Complex Manifolds and Special Structures, II" - Levico Terme (Trento), July 5-9, 2021 ,arXiv:1707.03143. 2022. 13. 2
Scalar curvature and the moment map in generalized Kahler geometry. arXiv:2105.13654. 2021
Ryushi Goto. Scalar curvature as moment map in generalized Kahler geometry. Journal of symplectic geometry. 2020. 18. 1. 147-190

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Awards (2)：

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