Umeta Yoko 梅田陽子

Researcher Number	90606386
Other IDs
Affiliation (Current)	2025: 北海道大学, 理学研究院, 准教授
Affiliation (based on the past Project Information) *help	2023: 北海道大学, 理学研究院, 准教授 2017 – 2022: 城西大学, 理学部, 准教授 2017: 山口大学, 大学院創成科学研究科, 助教 2016 – 2017: 山口大学, 創成科学研究科, 助教 2015: 山口大学, 理工学研究科, 助教
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis Except Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis
Keywords	Principal Investigator 高階パンルヴェ方程式 / 特異摂動の代数解析 / Stokes幾何 / ストークス現象 / ストークス幾何 / インスタントン解 / パンルヴェ階層 / 漸近解析 / 完全WKB解析 / 野海山田方程式 … More / 野海・山田方程式系 / 変わり点 / 非線形常微分方程式 / 特異摂動 / Lax pair / 非線型方程式 … More Except Principal Investigator ホロノミーD-加群 / 局所コホモロジー / アルゴリズム / 特異点 / 代数解析 / local cohomology / ネター作用素 / 対数的ベクトル場 / b-関数 / 複素解析 / 特異点変形 / 変形族 / 非孤立特異点 / algorithm / holonomic D-module / Bruce-Roberts-MIlnor数 / torsion微分形式 / 特異点変形族 / 多変数留数 / Borel和 / Voros係数 / Watsonの補題 / 無限階微分作用素 / Borel総和法 / Stokes現象 / Stokes曲線 / 合流型超幾何微分方程式 / ボレル総和法 / 漸近展開 / ストークス現象 / 特異摂動 / WKB解 / 超幾何関数 / 超幾何微分方程式 / Le numbers / integral number / スタンダード基底 / D-加群 Less

Algebraic analysis of deformations of non-isolated singularities, computational complex analysis and algorithms
- Principal Investigator
  
  田島慎一
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Niigata University
高階パンルヴェ方程式のStokes幾何とインスタントン解の構造解析Principal Investigator
- Principal Investigator
  
  梅田陽子
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hokkaido University
  Josai University
Algebraic aanalysis of non-isolated singularities and computational complex analysis algorithms
- Principal Investigator
  
  Tajima Shinichi
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Niigata University
The exact WKB analysis for Painleve hierarchiesPrincipal Investigator
- Principal Investigator
  
  Umeta Yoko
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Yamaguchi University
Computational complex analysis and algebraic analysis of singularities
- Principal Investigator
  
  Tajima Shinichi
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
Algebraic analysis of parametric Stokes phenomena
- Principal Investigator
  
  AOKI TAKASHI
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kindai University

All 2024 2023 2022 2021 2020 2019 2017 2016 2015

All Journal Article Presentation

[Journal Article] Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Groebner systems of PBW algebra2023
- Author(s)
  S. Tajima, K. Nabeshima, K. Ohara, Y. Umeta
- Journal Title
  
  Mathematics in Computer Science
  
  Volume: 17 Issue: 1
- DOI
  10.1007/s11786-022-00553-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03291, KAKENHI-PROJECT-22K03334, KAKENHI-PROJECT-18K03214
[Journal Article] Algebraic analysis of Siersma's non-isolated hypersurface singularities2022
- Author(s)
  S. Tajima and Y. Umeta
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 51 Issue: 1 Pages: 117-151
- DOI
  10.14492/hokmj/2020-305
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03320
[Journal Article] Holonomic D-modules associated with a simple line singularity and the vertical monodromy2021
- Author(s)
  S. Tajima and Y. Umeta
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 64 Pages: 17-48
- NAID
  130008023888
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03320
[Journal Article] Holonomic <i>D</i>-Modules Associated with a Simple Line Singularity and the Vertical Monodromy2021
- Author(s)
  S. Tajima and Y. Umeta
- Journal Title
  
  FE
  
  Volume: 64 Issue: 1 Pages: 17-48
- DOI
  10.1619/fesi.64.17
- NAID
  130008023888
- ISSN
  0532-8721
- Year and Date
  2021-04-15
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03320
[Journal Article] Holonomic D-modules associated with a simple line singularity and the vertical monodromy2020
- Author(s)
  S. Tajima, Y. Umeta
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: -
- NAID
  130008023888
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03320
[Journal Article] Holonomic D-modules associated with a simple line singularity and the vertical monodromy2019
- Author(s)
  S. Tajima and Y. Umeta
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 印刷中
- NAID
  130008023888
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03320
[Journal Article] A unified family of P_J-hierarchies (J=I,II,IV,34) with a large parameter2017
- Author(s)
  Yoko Umeta
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2020 Pages: 92-96
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17557
[Journal Article] Computing structure of holonomic D-modules associated with a simple line singularity2016
- Author(s)
  S. Tajima, Y. Umeta
- Journal Title
  
  RIMS K\^oky\^uroku Bessatsu
  
  Volume: 57 Pages: 125-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04891
[Journal Article] Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter2015
- Author(s)
  Yoko Umeta
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 67 Issue: 3 Pages: 943-978
- DOI
  10.2969/jmsj/06730943
- NAID
  130005094199
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] 非孤立特異点をもつ超曲面に付随するホロノミーD-加群2024
- Author(s)
  梅田陽子, 田島慎一
- Organizer
  代数解析日大研究集会
- Data Source
  KAKENHI-PROJECT-22K03334
[Presentation] 多重スケール解析によるインスタントン解構成法2022
- Author(s)
  梅田陽子
- Organizer
  代数解析千葉研究集会
- Data Source
  KAKENHI-PROJECT-20K03637
[Presentation] A unified family of PJ-hierarchies (J=I,II,IV,34) with a large parameter2022
- Author(s)
  梅田陽子
- Organizer
  2022年度秋季総合分科会(函数解析分科会特別講演)
- Invited
- Data Source
  KAKENHI-PROJECT-20K03637
[Presentation] 2次元特異点を持つA. Zahariaの超曲面に付随するホロノミーD-加群について2020
- Author(s)
  田島慎一, 梅田陽子
- Organizer
  接触構造, 特異点, 微分方程式及びその周辺
- Data Source
  KAKENHI-PROJECT-18K03320
[Presentation] An introduction to exact WKB analysis2017
- Author(s)
  Yoko Umeta
- Organizer
  Bilateral Mini-Workshop of NTNU and Yamaguchi University on Mathematics and its Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] 4つのPainleve階層を含むシステムのストークス幾何2017
- Author(s)
  梅田陽子
- Organizer
  理工学部数学科談話会
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] Lax pairをもつ非線形方程式の完全WKB解析2017
- Author(s)
  梅田陽子
- Organizer
  第1回岡潔女性数学者セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] Stokes geometry for a unified family of some Painleve hierarchies2017
- Author(s)
  Yoko Umeta
- Organizer
  Algebraic Analysis in Yamaguchi-D-module, microlocal analysis, summability-
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] 完全WKB解析による高階パンルヴェ方程式の研究2017
- Author(s)
  梅田陽子
- Organizer
  山口複素解析セミナー
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] 4つのPainleve階層を含むシステムのストークス幾何2017
- Author(s)
  梅田陽子
- Organizer
  Workshop on Accessory Parameters
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] 4つのPainleve階層を含むシステムのストークス幾何2016
- Author(s)
  梅田陽子
- Organizer
  代数解析奈良研究集会
- Place of Presentation
  奈良女子大学（奈良県奈良市)
- Year and Date
  2016-11-26
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] Stokes geometry for a unified family of some Painleve hierarchies2016
- Author(s)
  Yoko Umeta
- Organizer
  New development of microlocal analysis and singular perturbation theory
- Place of Presentation
  京都大学数理解析研究所(京都府京都市)
- Year and Date
  2016-10-05
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] Instanton-type solutions for a unified family of (P_J)_m (J=I,II,IV,34)2015
- Author(s)
  Yoko Umeta
- Organizer
  Algebraic analytic methods in complex partial differential equations
- Place of Presentation
  京都大学数理解析研究所(京都府京都市)
- Year and Date
  2015-12-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] Multiple-scale analysis for a unified family of (P_J)_m (J=I,II,IV,34)2015
- Author(s)
  Yoko Umeta
- Organizer
  Algebraic Analysis and Related Topics
- Place of Presentation
  北海道大学(北海道札幌市)
- Year and Date
  2015-10-15
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17557
[Presentation] Simple line singularities の vanishing cycles と付随するホロノミーD-加群の monodromy 構造について2015
- Author(s)
  田島慎一, 梅田陽子
- Organizer
  農工大数学セミナー
- Place of Presentation
  東京農工大学小金井キャンパス, 東京都小金井
- Year and Date
  2015-06-23
- Data Source
  KAKENHI-PROJECT-15K04891

1. Tajima Shinichi (70155076)

# of Collaborated Projects: 3 results

# of Collaborated Products: 8 results
2. Shibuta Takafumi (40648200)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. 鍋島克輔 (00572629)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. YAMAZAKI Susumu (00349953)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 小原功任 (00313635)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
6. Oaku Toshinori (60152039)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. AOKI TAKASHI (80159285)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. HONDA Naofumi (00238817)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. KAWAI Takahiro (20027379)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TAKEI Yoshitsugu (00212019)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. KOIKE Tatsuya (80324599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 福井敏純 (90218892)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 中村弥生 (60388494)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 鈴木貴雄 (60527208)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Umeta Yoko 梅田 陽子

Research Projects

Research Products

Co-Researchers

Algebraic analysis of deformations of non-isolated singularities, computational complex analysis and algorithms

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

高階パンルヴェ方程式のStokes幾何とインスタントン解の構造解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Algebraic aanalysis of non-isolated singularities and computational complex analysis algorithms

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

The exact WKB analysis for Painleve hierarchiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Computational complex analysis and algebraic analysis of singularities

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Algebraic analysis of parametric Stokes phenomena

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Groebner systems of PBW algebra2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Algebraic analysis of Siersma's non-isolated hypersurface singularities2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Holonomic D-modules associated with a simple line singularity and the vertical monodromy2021

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Holonomic <i>D</i>-Modules Associated with a Simple Line Singularity and the Vertical Monodromy2021

Author(s)

Journal Title

DOI

NAID

ISSN

Year and Date

Language

Data Source

[Journal Article] Holonomic D-modules associated with a simple line singularity and the vertical monodromy2020

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Holonomic D-modules associated with a simple line singularity and the vertical monodromy2019

Author(s)

Journal Title

NAID

Data Source

[Journal Article] A unified family of P_J-hierarchies (J=I,II,IV,34) with a large parameter2017

Author(s)

Journal Title

Data Source

[Journal Article] Computing structure of holonomic D-modules associated with a simple line singularity2016

Author(s)

Umeta Yoko 梅田陽子