Hiroe Kazuki 廣惠一希

Researcher Number	50648300
Other IDs
Affiliation (Current)	2025: 千葉大学, 大学院理学研究院, 准教授
Affiliation (based on the past Project Information) *help	2025: 千葉大学, 大学院理学研究院, 准教授 2019 – 2023: 千葉大学, 大学院理学研究院, 准教授 2018: 城西大学, 理学部, 准教授 2014 – 2017: 城西大学, 理学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Mathematical analysis
Keywords	Principal Investigator 箙多様体 / 結び目 / 不確定特異点 / 複素多様体の変形理論 / シンプレクティック幾何学 / モジュライ空間 / 有理型接続のモジュライ空間 / モノドロミー保存変形 / 複素領域の微分方程式 / 微分方程式の特異点の合流 … More / 正則シンプレクティック多様体の変形 / 正則ポワソン多様体 / 微分方程式のモジュライ空間 / 超平面配置 / 組紐群 / ミドルコンボリューション / 簡約代数群の構造論 / 数理物理 / 代数学 / 幾何学 / 関数方程式論 / 解析学 / リジッド指数 / ルート系 / 特異点の合流 / 箙の表現 / 接続のモジュライ / 特異点の合流理論 / オイラー変換 / 代数曲線の特異点 / Kac-Moody Lie環 / 微分方程式の不確定特異点 / 絡み目 / 平面代数曲線の特異点 / ストークス現象 / スペクトル曲線 / Stokes現象 / 箙の表現論 / ミドル・コンボリューション / ワイル群 Less

不確定特異点型微分方程式に対するStokes構造の明示構造の解明Principal Investigator
- Principal Investigator
  
  廣惠一希
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Chiba University
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Principal Investigator
- Principal Investigator
  
  廣惠一希
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Chiba University
Algebraic, geometric, and analytic studies on irregular singularity and their applicaitionsPrincipal Investigator
- Principal Investigator
  
  Hiroe Kazuki
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Chiba University
  Josai University
An application of global analysis of differential equations to representation theoryPrincipal Investigator
- Principal Investigator
  
  Hiroe Kazuki
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Josai University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 Other

All Journal Article Presentation Book

[Book] 重点解説微分方程式とモジュライ空間2022
- Author(s)
  廣惠一希
- Total Pages
  194
- Publisher
  サイエンス社
- ISBN
  9784781915586
- Data Source
  KAKENHI-PROJECT-20K03648
[Book] 4-dimensional Painleve-type equations2018
- Author(s)
  Kazuki Hiroe, Hiroshi Kawakami, Akane Nakamura, Hidetaka Sakai
- Total Pages
  172
- Publisher
  The Mathematical Society of Japan
- ISBN
  9784864970877
- Data Source
  KAKENHI-PROJECT-17K14222
[Journal Article] Index of rigidity of differential equations and Euler characteristic of their spectral curves2021
- Author(s)
  Kazuki Hiroe
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 162 Pages: 104060-104060
- DOI
  10.1016/j.geomphys.2020.104060
- Data Source
  KAKENHI-PROJECT-20K03648, KAKENHI-PROJECT-17K14222
[Journal Article] Euler characteristics of differential equations and spectral curves2020
- Author(s)
  Kazuki Hiroe
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-17K14222
[Journal Article] On Oshima's conjecture2020
- Author(s)
  Kazuki Hiroe
- Journal Title
  
  Josai Mathematical Monographs
  
  Volume: 12
- Data Source
  KAKENHI-PROJECT-17K14222
[Journal Article] Linear differential equations on the Riemann sphere and representations of quivers2017
- Author(s)
  Kazuki Hiroe
- Journal Title
  
  Duke Mathematical Journal
  
  Volume: 166 Issue: 5 Pages: 855-935
- DOI
  10.1215/00127094-3769640
- NAID
  130008004973
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800072
[Journal Article] Moduli spaces of meromorphic connections and quiver varieties2014
- Author(s)
  Kazuki Hiroe, Daisuke Yamakawa
- Journal Title
  
  Advances in Mathematics
  
  Volume: 266 Pages: 120-151
- DOI
  10.1016/j.aim.2014.05.024
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740104, KAKENHI-PROJECT-26800072
[Presentation] 不確定特異点の開折と複素射影直線上のG接続2024
- Author(s)
  廣惠一希
- Organizer
  パンルヴェ方程式の幾何学とその周辺
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Long-Moody construction of braid group representations and Katz middle convolution2023
- Author(s)
  Kazuki Hiroe
- Organizer
  Hyperplane Arrangements 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Long-Moody construction of braid group representations and Katz middle convolution2023
- Author(s)
  廣惠一希
- Organizer
  リーマン面に関連する位相幾何学
- Invited
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] A generalization of Haraoka's multiplicative middle convolution2023
- Author(s)
  Kazuki Hiroe
- Organizer
  Workshop on Accessory Parameters
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Long-Moody induction of braid representations and Katz’ middle convolution2022
- Author(s)
  Kazuki Hiroe
- Organizer
  Painleve Equations : From Classical to Modern Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Long-Moody construction of braid representations and Katz’ middle convolution2022
- Author(s)
  廣惠一希
- Organizer
  Prospects in microlocal analysis and asymptotic analysis
- Invited
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Homological induction of braid group representations and Katz middle convolution2022
- Author(s)
  廣惠一希
- Organizer
  表現論シンポジウム
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Deformation of moduli spaces of meromorphic connections on the Riemann sphere via unfolding of irregular singularities2021
- Author(s)
  廣惠一希
- Organizer
  オンライン阪大代数幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Deformation of moduli spaces of meromorphic connections on the Riemann sphere via unfolding of irregular singularities2021
- Author(s)
  廣惠一希
- Organizer
  Web-seminar on Painleve Equations and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] Deformation of moduli spaces of meromorphic connections on the Riemann sphere via unfolding of irregular singularities2021
- Author(s)
  廣惠一希
- Organizer
  完全WKB 解析, 超局所解析, パンルヴェ方程式とその周辺
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] 不分岐不確定特異点のunfoldingと射影直線上の有理型接続のモジュライの変形2020
- Author(s)
  Kazuki Hiroe
- Organizer
  ミラー対称性の諸相 2020
- Data Source
  KAKENHI-PROJECT-20K03648
[Presentation] 不分岐不確定特異点のunfoldingと射影直線上の有理型接続のモジュライの変形2020
- Author(s)
  Kazuki Hiroe
- Organizer
  ミラー対称性の諸相 2020
- Data Source
  KAKENHI-PROJECT-17K14222
[Presentation] Confluence of singular points of Fuchsian equations and deformation of star-shaped quiver varieties2019
- Author(s)
  Kazuki Hiroe
- Organizer
  Moduli spaces, Representation theory and Quantization
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14222
[Presentation] Ramified irregular singularities of differential equations and their spectral curves2018
- Author(s)
  廣惠一希
- Organizer
  代数解析学の諸問題 ― 超局所解析及び漸近解析 ―
- Data Source
  KAKENHI-PROJECT-17K14222
[Presentation] 大島予想について2018
- Author(s)
  廣惠一希
- Organizer
  微分方程式と表現論
- Data Source
  KAKENHI-PROJECT-17K14222
[Presentation] Fuchs型方程式の特異点の合流とアクセサリーパラメーターの空間について2018
- Author(s)
  廣惠一希
- Organizer
  アクセサリーパラメーター研究会
- Data Source
  KAKENHI-PROJECT-17K14222
[Presentation] Invariants of differential equations and algebraic curves2017
- Author(s)
  廣惠一希
- Organizer
  Differential Geometry and Differential Equations:the influence of Mirror Symmetry and Physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14222
[Presentation] On additive Deligne-Simpson problem2017
- Author(s)
  Kazuki Hiroe
- Organizer
  Representation theory of quivers and finite dimensional algebras
- Place of Presentation
  MathematischesForschungstitut Oberwolfach
- Year and Date
  2017-02-22
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] Invariants of differential equations and algebraic curves2017
- Author(s)
  Kazuki Hiroe
- Organizer
  Branched covering, degeneration and related topics 2017
- Place of Presentation
  東北学院大学
- Year and Date
  2017-03-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] On index of rigidity2017
- Author(s)
  Kazuki Hiroe
- Organizer
  Hitchin Systems in Mathematics and Physics
- Place of Presentation
  Perimeter Institute
- Year and Date
  2017-02-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] 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2017
- Author(s)
  廣惠一希
- Organizer
  日本数学会年会函数方程式分科会特別講演
- Place of Presentation
  首都大学東京
- Year and Date
  2017-03-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] On additive Deligne-Simpson problem2017
- Author(s)
  Kazuki Hiroe
- Organizer
  Modern interactions between algebra, geometry and physics
- Place of Presentation
  Tohoku forum for creativity
- Year and Date
  2017-04-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] 不確定スペクトル曲線の特異性について2016
- Author(s)
  廣惠一希
- Organizer
  微分トポロジーセミナー
- Place of Presentation
  京都大学
- Year and Date
  2016-06-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] Stokes現象と絡み目について2016
- Author(s)
  廣惠一希
- Organizer
  日本数学会２０１６年度年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] On additive Deligne-Simpson problem2016
- Author(s)
  Kazuki Hiroe
- Organizer
  Modern Interactions between Algebra, Geometry and Physics
- Place of Presentation
  Tohoku Forum of Creativity
- Year and Date
  2016-04-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] Ramified irregular singularities of meromorphic connections and plane curve singularities2015
- Author(s)
  Kazuki Hiroe
- Organizer
  Analytic, Algebraic and Geometric Aspects of Differential Equations
- Place of Presentation
  The Mathematical Research and Conference Center in Bedlewo
- Year and Date
  2015-09-17
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] Local Fourier transform and blow up2015
- Author(s)
  廣惠一希
- Organizer
  Kobe Seminar on Integrable Systems
- Place of Presentation
  神戸大学
- Year and Date
  2015-02-28
- Invited
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] 微分方程式とルート系2015
- Author(s)
  廣惠一希
- Organizer
  HMA セミナー・冬の研究会 2015
- Place of Presentation
  広島大学
- Year and Date
  2015-01-09
- Invited
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] Stokes現象と絡み目について2015
- Author(s)
  廣惠一希
- Organizer
  2015年度表現論シンポジウム
- Place of Presentation
  伊豆長岡
- Year and Date
  2015-11-18
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] Applications of quiver varieties to moduli spaces of connections on P12015
- Author(s)
  Kazuki Hiroe
- Organizer
  On Quivers: Computational Aspects and Geometric Applications
- Place of Presentation
  神戸大学
- Year and Date
  2015-07-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] 局所Fourie変換とブローアップ2014
- Author(s)
  廣惠一希
- Organizer
  日本数学会　2014年度秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] Local Fourier transform and blowing up2014
- Author(s)
  廣惠一希
- Organizer
  表現論セミナー
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-11-21
- Invited
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] 局所Fourie変換とブローアップについて2014
- Author(s)
  廣惠一希
- Organizer
  微分方程式の展望
- Place of Presentation
  熊本大学
- Year and Date
  2014-10-19
- Invited
- Data Source
  KAKENHI-PROJECT-26800072
[Presentation] 局所Fourier変換とブローアップについて
- Author(s)
  廣惠一希
- Organizer
  フックス型方程式の幾何 workshop
- Place of Presentation
  広島大学
- Year and Date
  2014-12-05 – 2014-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-26800072

1. OSHIMA Toshio (50011721)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. YAMAKAWA Daisuke (20595847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

Hiroe Kazuki 廣惠 一希

Research Projects

Research Products

Co-Researchers

不確定特異点型微分方程式に対するStokes構造の明示構造の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Algebraic, geometric, and analytic studies on irregular singularity and their applicaitionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

An application of global analysis of differential equations to representation theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 重点解説微分方程式とモジュライ空間2022

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Book] 4-dimensional Painleve-type equations2018

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Journal Article] Index of rigidity of differential equations and Euler characteristic of their spectral curves2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Euler characteristics of differential equations and spectral curves2020

Author(s)

Journal Title

Data Source

[Journal Article] On Oshima's conjecture2020

Author(s)

Journal Title

Data Source

[Journal Article] Linear differential equations on the Riemann sphere and representations of quivers2017

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Moduli spaces of meromorphic connections and quiver varieties2014

Author(s)

Journal Title

DOI

Data Source

[Presentation] 不確定特異点の開折と複素射影直線上のG接続2024

Author(s)

Organizer

Data Source

[Presentation] Long-Moody construction of braid group representations and Katz middle convolution2023

Author(s)

Organizer

Data Source

[Presentation] Long-Moody construction of braid group representations and Katz middle convolution2023

Author(s)

Organizer

Data Source

[Presentation] A generalization of Haraoka's multiplicative middle convolution2023

Author(s)

Organizer

Data Source

Hiroe Kazuki 廣惠一希