Yoshioka Kota

ヨシオカコウタ | Yoshioka Kota

Affiliation and department：
Job title： Professor

Research field (1)： Algebra

Research keywords (1)： Algebraic Geometry

Research theme for competitive and other funds (28)：

2022 - 2027 Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
2021 - 2026 Symplectic algebraic geometry and moduli spaces
2018 - 2023 連接層と複体のモジュライの研究
2017 - 2022 代数幾何と可積分系の融合 - 理論の深化と数学・数理物理学における新展開 -
2017 - 2022 代数幾何と可積分系の融合 - 種々のモジュライ空間と数学・数理物理学の新展開 -

2014 - 2018 代数多様体上の複体とそのモジュライの研究

2011 - 2016 Geometry of instanton moduli spaces and representation theory

2012 - 2016 代数幾何と可積分系の融合と進化

2012 - 2016 モジュライ理論による代数幾何と可積分系の新たな展開

2010 - 2015 Constructions and developments of geomerty on moduli spaces and arithmetic varieties

2007 - 2010 Geometry of quiver varieties and representation theory

2010 - 複体を用いたベクトル束の研究

2006 - 2009 Research on lattices, automorphic forms and moduli spaces

2005 - 2008 Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert

2004 - 2007 The global geometry of moduli spaoes

2007 - 代数幾何と可積分系の融合と新しい展開

2005 - 2006 Quiver varieties, moduli spaces and representation theory

2006 - 安定層のモジュライ空間の研究

2005 - 超幾何・パンルヴェ系の総合的研究

2005 - 対称性が豊富な多様体上の連接層の研究

2005 - モジュライ空間と可積分系の新しい展開

2000 - 2002 The study of vector bundles on an algebraic manifold with the trivial canonical bundle

2000 - 2002 Geometry on String Theory and Moduli spaces

1997 - 1999 Research on Periods of Algebraic Varieties and Hypergeometric Functions

1997 - 1998 ベクトル束のモジュライ空間の研究

1996 - 1996 ベクトル束のモジュライの研究

1996 - 1996 代数群の表現論の代数解析学的研究

1996 - 1996 VECTOR BUNDLES ON MANIFOLDS

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Papers (59)：

Kōta Yoshioka. Wall crossing for moduli of stable sheaves on an elliptic surface. Mathematische Zeitschrift. 2023. 306. 1
Izzet Coskun, Howard Nuer, Kōta Yoshioka. The cohomology of the general stable sheaf on a K3 surface. Advances in Mathematics. 2023. 426. 109102-109102
Kōta Yoshioka. Some moduli spaces of 1-dimensional sheaves on an elliptic ruled surface. Geometriae Dedicata. 2023. 217. 3
Kōta Yoshioka. Birational automorphim groups of a generalized Kummer manifold for an abelian surface with Picard number 1. manuscripta mathematica. 2023. 173. 1-2. 727-751
Akira MORI, Kōta YOSHIOKA. Moduli of Stable Sheaves on a K3 Surface of Picard Number 1. Tokyo Journal of Mathematics. 2022. 45. 2

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MISC (4)：

YOSHIOKA Kota. Vector bundles on algebraic surfaces. 第59回代数学シンポジウム報告集. 2014. 54-66
YOSHIOKA Kota. Examples of movable divisors on a generalized Kummer variety and an application. 2014 年度代数幾何学シンポジウム報告集. 2014. 2014. 3-11
YOSHIOKA KOTA. PROBLEMS ON HOLOMORPHIC VECTOR BUNDLES ON COMPLEX MANIFOLDS (Open Problems in Complex Geometry). RIMS Kokyuroku. 2011. 1731. 162-174
Yoshioka, Kota. The Betti numbers of the moduli space of stable sheaves of rank 2 on Pn. 1992. 1992. 40-54

Lectures and oral presentations (15)：

アーベル曲面上の安定ベクトル束
(第3回仙台保型形式小集会「保型形式, 代数幾何, (保型)微分作用素、頂点作用素代数」 2024)
Moduli of stable sheaves on an elliptic surface
(Gauge Theory, Moduli Spaces and Representation Theory, Kyoto 2023 In honor of the 60th birthday of Hiraku Nakajima 2023)
Moduli of stable sheaves on an abelian surface
(Japanese-European Symposium on symplectic varieties and moduli spaces 2022)
楕円曲面上の安定層のモジュライ空間
(第17回代数・解析・幾何学セミナー 2022)
Moduli of stable sheaves on an elliptic surface
(Workshop in honour of Lothar Gottsche's 60th birthday, 2021)

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Education (1)：

Professional career (2)：

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