Komyo Arata 光明新

Researcher Number	90760976
Other IDs
Affiliation (Current)	2025: 兵庫県立大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2023 – 2025: 兵庫県立大学, 理学研究科, 准教授 2019 – 2022: 神戸大学, 数理・データサイエンスセンター, 講師
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator パンルヴェ方程式 / 不確定特異点 / モノドロミー保存変形 / 接続のモジュライ空間 / 基本群の表現 / パンルヴェVI型方程式 / ハミルトニアン / ガルニエ系 / シンプレクティック構造 / 不確定接続 … More / 接続 / モジュライ空間 / 可積分系 / モジュライ / シンプレクティック形式 / 代数解 / 不確定ガルニエ系 / 曲面のHilbert概形 / 見かけの特異点 / ベクトル束のモジュライ空間 / 接続のモジュライ理論 … More Except Principal Investigator パンルヴェ方程式 / モノドロミー保存変形 / モジュライ空間 / 可積分系 / 分岐不確定特異点 / リーマン・ヒルベルト対応 / 見かけの特異点 / 混合ツイスターＤ加群 / 高次元双有理幾何学 / WKB漸近解析 / 混合ツイスターD加群 / 量子コホモロジーとミラー対称性 / 漸近展開 Less

Extending the theory of Painleve equations using the moduli theory of connectionsPrincipal Investigator
- Principal Investigator
  
  光明新
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Hyogo
Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
- Principal Investigator
  
  Saito Masa-Hiko
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kobe Gakuin University
Study of algebraic solutions of the differential equations determined by isomonodromic deformationsPrincipal Investigator
- Principal Investigator
  
  Komyo Arata
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Hyogo
  Kobe University
Algebraic geometry and Integrable systems - Deepning of Theory and New Developments in Mathematics and Mathematical Physics -
- Principal Investigator
  
  Saito Masa-Hiko
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kobe Gakuin University
  Kobe University

All 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections2022
- Author(s)
  KOMYO Arata
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 74 Issue: 2 Pages: 473-519
- DOI
  10.2969/jmsj/83858385
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H06127
[Journal Article] Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities2022
- Author(s)
  Komyo Arata
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14506
[Journal Article] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022
- Author(s)
  Komyo Arata、Loray Frank、Saito Masa-Hiko
- Journal Title
  
  Advances in Mathematics
  
  Volume: 410 Pages: 108750-108750
- DOI
  10.1016/j.aim.2022.108750
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18669, KAKENHI-PROJECT-19K14506, KAKENHI-PROJECT-22H00094
[Journal Article] A nonclassical algebraic solution of a 3-variable irregular Garnier system2022
- Author(s)
  Komyo Arata
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14506
[Journal Article] Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections2021
- Author(s)
  KOMYO Arata
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14506
[Journal Article] On the moduli spaces of framed logarithmic connections on a Riemann surface2021
- Author(s)
  Biswas Indranil、Inaba Michi-aki、Komyo Arata、Saito Masa-Hiko
- Journal Title
  
  Comptes Rendus. Mathematique
  
  Volume: 359 Issue: 5 Pages: 617-624
- DOI
  10.5802/crmath.199
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03422, KAKENHI-PROJECT-17H06127
[Journal Article] On the moduli spaces of framed logarithmic connections on a Riemann surface2021
- Author(s)
  BISWAS Indranil, INABA Mchi-Aki, KOMYO Arata, SAITO, Masa-hiko
- Journal Title
  
  Comptes Rendus Serie Mathematique
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14506
[Journal Article] A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions2021
- Author(s)
  Komyo Arata
- Journal Title
  
  Annales de la Faculte des sciences de Toulouse : Mathematiques
  
  Volume: 30 Issue: 3 Pages: 479-501
- DOI
  10.5802/afst.1682
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H06127
[Journal Article] A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions2020
- Author(s)
  KOMYO Arata
- Journal Title
  
  Annales de la Faculte des Sciences de Toulouse
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Canonical coordinates for moduli spaces of rank two irregular connections on curves2023
- Author(s)
  光明新
- Organizer
  パンルヴェ方程式の幾何学とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022
- Author(s)
  光明新
- Organizer
  城崎代数幾何学シンポジウム 2022
- Invited
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022
- Author(s)
  Arata Komyo
- Organizer
  Algebraic Geometry and Integrable Systems 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022
- Author(s)
  Komyo Arata
- Organizer
  Algebraic Geometry and Integrable Systems 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06127
[Presentation] A nonclassical algebraic solution of a 3-variable irregular Garnier system2022
- Author(s)
  Komyo Arata
- Organizer
  The 3rd Shot of The 13th MSJ-SI "Differential Geometry and Integrable Systems" (Short Communications)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022
- Author(s)
  Komyo Arata
- Organizer
  Web-seminar on Painleve Equations and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities2021
- Author(s)
  KOMYO Arata
- Organizer
  Indo-Japan Web-Workshop on Vector Bundles and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities2021
- Author(s)
  Komyo Arata
- Organizer
  Indo-Japan Web-Workshop on Vector Bundles and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06127
[Presentation] Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities2020
- Author(s)
  Komyo Arata
- Organizer
  神戸可積分系セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H06127
[Presentation] Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities2020
- Author(s)
  KOMYO Arata
- Organizer
  Kobe Seminar on Integrable Systems
- Invited
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Dihedral monodromy を持つ射影空間上の平坦接続の族と Garnier 系の代数解2019
- Author(s)
  光明新
- Organizer
  湯布院代数幾何学ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions2019
- Author(s)
  KOMYO Arata
- Organizer
  Journee Paris-Rennes du GDR EFI
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14506
[Presentation] Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections2019
- Author(s)
  KOMYO Arata
- Organizer
  Mini Workshop on Geometry of Moduli Spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14506

1. Saito Masa-Hiko (80183044)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 山田泰彦 (00202383)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. 岩木耕平 (00750598)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. 望月拓郎 (10315971)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 吉岡康太 (40274047)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. Rossman W.F (50284485)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 大仁田義裕 (90183764)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 佐野太郎 (10773195)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 細野忍 (60212198)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 稲場道明 (80359934)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
11. 松本孝文 (41012884)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 太田泰広 (10213745)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 三井健太郎 (70644889)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 野海正俊 (80164672)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 小池達也 (80324599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 斎藤政彦

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Komyo Arata 光明 新

Research Projects

Research Products

Co-Researchers

Extending the theory of Painleve equations using the moduli theory of connectionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of algebraic solutions of the differential equations determined by isomonodromic deformationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Algebraic geometry and Integrable systems - Deepning of Theory and New Developments in Mathematics and Mathematical Physics -

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections2022

Author(s)

Journal Title

DOI

ISSN

Language

Data Source

[Journal Article] Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities2022

Author(s)

Journal Title

Data Source

[Journal Article] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A nonclassical algebraic solution of a 3-variable irregular Garnier system2022

Author(s)

Journal Title

Data Source

[Journal Article] Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections2021

Author(s)

Journal Title

Data Source

[Journal Article] On the moduli spaces of framed logarithmic connections on a Riemann surface2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the moduli spaces of framed logarithmic connections on a Riemann surface2021

Author(s)

Journal Title

Data Source

[Journal Article] A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions2020

Author(s)

Journal Title

Data Source

[Presentation] Canonical coordinates for moduli spaces of rank two irregular connections on curves2023

Author(s)

Organizer

Data Source

[Presentation] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022

Author(s)

Organizer

Data Source

[Presentation] Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification2022

Author(s)

Komyo Arata 光明新