Rchr
J-GLOBAL ID:201401029095094747   Update date: Aug. 13, 2024

Hiroe Kazuki

ヒロエ カズキ | Hiroe Kazuki
Affiliation and department:
Homepage URL  (1): http://kaken.nii.ac.jp/d/r/50648300.ja.html
Research field  (1): Mathematical analysis
Research theme for competitive and other funds  (3):
  • 2020 - 2024 微分方程式の特異点の合流,ルート系の退化,そしてモジュライ空間の変形理論
  • 2017 - 2020 不確定特異点の代数学、幾何学、解析学とその応用
  • 2014 - 2016 An application of global analysis of differential equations to representation theory
Papers (12):
  • Kazuki Hiroe. Index of rigidity of differential equations and Euler characteristic of their spectral curves. Journal of Geometry and Physics. 2021. 162
  • Kazuki Hiroe. Unfolding of spectral types. Josai Mathematical Monographs. 2020. 12. 53-68
  • Kazuki Hiroe, Hiroshi Kawakami, Akane Nakamura, Hidetaka Sakai. 4-dimensional Painleve-type equations. MSJ Memoirs. 2018. 37
  • Kazuki Hiroe. LINEAR DIFFERENTIAL EQUATIONS ON THE RIEMANN SPHERE AND REPRESENTATIONS OF QUIVERS. DUKE MATHEMATICAL JOURNAL. 2017. 166. 5. 855-935
  • Kazuki Hiroe. Ramified irregular singularities of meromorphic connections and plane curve singularities. Josai Mathematical Monographs. 2017. 10. 161-192
more...
MISC (7):
  • Kazuki Hiroe. Deformation of moduli spaces of meromorphic $G$-connections on $\mathbb{P}^{1}$ via unfolding of irregular singularities. 2024
  • 廣惠一希. 代数的線型常微分方程式とルート系. 数学. 2024. 76. 3. 225-251
  • Kazuki Hiroe, Haru Negami. Long-Moody construction of braid representations and Katz middle convolution. 2023
  • 廣惠一希. 線型常微分方程式のアクセサリーパラメーターを巡って. 日本数学会2017年度年会函数方程式論分科会特別講演アブストラクト. 2017
  • Kazuki Hiroe. Stokes phenomenon and braids. Proceedings of symbosium on representation theory 2015. 2015
more...
Books (3):
  • 重点解説 微分方程式とモジュライ空間 正誤表
    2024
  • 重点解説微分方程式とモジュライ空間
    サイエンス社 2022 ISBN:9784781915586
  • 特殊関数と代数的線型常微分方程式
    東京大学数理科学研究科 2011
Lectures and oral presentations  (17):
  • On accessory parameters of linear ordinary differential equaitons
    (The Mathematical Society of Japan 2017 Annual Meeting Invited Talk 2017)
  • On addtive Deligne-Simpson problem
    (Representation theory of quivers and finite dimensional algebras 2017)
  • On index of rigidity
    (Hitchin Systems in Mathematics and Physics 2017)
  • On additive Deligne-Simpson problem
    (Modern Interactions between Algebra, Geometry and Physics 2016)
  • Applications of quiver varieties to moduli spaces of connections on P1
    (Kobe-Lyon Summer School in Mathematics 2015, On Quivers 2015)
more...
Education (4):
  • 2006 - 2009 The University of Tokyo Graduate school of mathematical sciences
  • 2004 - 2006 The University of Tokyo Graduate school of mathematical sciences, Master
  • 1997 - 2001 Waseda University material engineering
  • 1995 - 1997 Shiba-Gakuen High School
Professional career (1):
  • 博士(数理科学) (東京大学)
Work history (5):
  • 2019/04 - 現在 Chiba University Faculty of Science, Department of Mathematics and Informatics Associate Professor
  • 2018/04 - 2019/03 Josai University Faculty of Science, Department of Mathmatics Associate Professor
  • 2013/04 - 2018/03 Josai University Faculty of Sciences
  • 2012/04 - 2013/03 Kyoto University Research Institute of mathematical sciences GCOE project researcher
  • 2009/04 - 2012/03 The University of Tokyo Graduate school of mathematical sciences GCOE project researcher
Awards (1):
  • 2016/12 - Division of Functional Equations The Mathematical Society of Japan Hukuhara Prize Deligne-Simpson problem of differential equations with unramified irregular singularites
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