Omori Genki 大森源城

Researcher Number	20843303
Other IDs
Affiliation (Current)	2025: 茨城工業高等専門学校, 国際創造工学科, 助教
Affiliation (based on the past Project Information) *help	2023: 芝浦工業大学, 工学部, 助教 2019 – 2022: 東京理科大学, 理工学部数学科, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords	Principal Investigator 群表示 / hyperelliptic involution / 最小生成系 / 対称的写像類群 / Dehn twist / 向き付け不可能曲面 / 周期的写像 / 写像類群 / Quasitoric組み紐 / 組み紐群 … More / トレリ群 / involution / crosscap pushing map / ハンドル体群 / crosscap slide / Crosscap slide Less

Research Projects
(2 results)
Research Products
(20 results)

曲面の周期的写像と写像類群の群構造Principal Investigator
- Principal Investigator
  
  大森源城
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Shibaura Institute of Technology
  Tokyo University of Science
The group structure of the mapping class group of a surface and its subgroupsPrincipal Investigator
- Principal Investigator
  
  Omori Genki
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Tokyo University of Science

All 2024 2023 2022 2021 2020

All Journal Article Presentation

[Journal Article] The balanced superelliptic mapping class groups are generated by three elements2024
- Author(s)
  Omori Genki
- Journal Title
  
  Advances in Geometry
  
  Volume: 24 Issue: 1 Pages: 111-125
- DOI
  10.1515/advgeom-2023-0026
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13794
[Journal Article] A positive factorization for the balanced superelliptic rotation2023
- Author(s)
  Omori Genki
- Journal Title
  
  Topology and its Applications
  
  Volume: 328 Pages: 108464-108464
- DOI
  10.1016/j.topol.2023.108464
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13794
[Journal Article] A small generating set for the balanced superelliptic handlebody group2022
- Author(s)
  Genki Omori
- Journal Title
  
  Topology and its Applications
  
  Volume: 322 Pages: 108333-108333
- DOI
  10.1016/j.topol.2022.108333
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13794
[Journal Article] An infinite presentation for the mapping class group of a non-orientable surface with boundary2022
- Author(s)
  Ryoma Kobayashi, Genki Omori
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13794
[Journal Article] An infinite presentation for the mapping class group of a non-orientable surface with boundary2022
- Author(s)
  Ryoma Kobayashi, Genki Omori
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K23409
[Presentation] Quasitoric組み紐群の最小生成系について2023
- Author(s)
  大森源城
- Organizer
  研究集会「結び目の数理IV」
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] A small generating set for the balanced superelliptic handlebogy group2023
- Author(s)
  大森源城
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] Quasitoric組み紐群の最小生成系について2023
- Author(s)
  大森源城
- Organizer
  研究集会「拡大KOOKセミナー 2023」
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] Quasitoric組み紐群の最小生成系について2023
- Author(s)
  大森源城
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] A finite presentation for the balanced superelliptic handlebody group2023
- Author(s)
  大森源城
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] Quasitoric組み紐群の最小生成系について2023
- Author(s)
  大森源城
- Organizer
  農工大・早大理工セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] Finite presentations for the balanced superelliptic mapping class groups2022
- Author(s)
  大森源城
- Organizer
  研究集会「リーマン面に関連する位相幾何学」
- Invited
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] Finite presentations for the balanced superelliptic mapping class groups2022
- Author(s)
  大森源城
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] Finite presentations for the balanced superelliptic mapping class groups2022
- Author(s)
  大森源城
- Organizer
  研究集会「拡大KOOKセミナー2022」
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] A finite presentation for the balanced superelliptic handlebody group2022
- Author(s)
  大森源城
- Organizer
  研究集会「結び目の数理V」
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] The balanced superelliptic mapping class groups are generated by three elements2022
- Author(s)
  大森源城
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13794
[Presentation] 種数5以下の向き付け不可能曲面上の対合のDehn twist-crosscap slide表示について2021
- Author(s)
  大森源城
- Organizer
  研究集会「Hurwitz action online ～フルビッツ作用とその周辺～」
- Data Source
  KAKENHI-PROJECT-19K23409
[Presentation] 種数5以下の向き付け不可能曲面上のinvolutionのDehn twist-crosscap slide表示について2020
- Author(s)
  大森源城
- Organizer
  研究集会「拡大KOOKセミナー2020」
- Data Source
  KAKENHI-PROJECT-19K23409
[Presentation] Dehn twist-crosscap slide presentations for involutions on non-orientable surfaces of genera up to 52020
- Author(s)
  大森源城
- Organizer
  Friday Seminar on Knot Theory
- Invited
- Data Source
  KAKENHI-PROJECT-19K23409
[Presentation] 種数4と5の場合の向き付け不可能曲面上のinvolutionのDehn twist-crosscap slide表示について2020
- Author(s)
  大森源城
- Organizer
  日本数学会 2020年度年会
- Data Source
  KAKENHI-PROJECT-19K23409

Omori Genki 大森 源城

Research Projects

Research Products

曲面の周期的写像と写像類群の群構造Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

The group structure of the mapping class group of a surface and its subgroupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] The balanced superelliptic mapping class groups are generated by three elements2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A positive factorization for the balanced superelliptic rotation2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A small generating set for the balanced superelliptic handlebody group2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An infinite presentation for the mapping class group of a non-orientable surface with boundary2022

Author(s)

Journal Title

Data Source

[Journal Article] An infinite presentation for the mapping class group of a non-orientable surface with boundary2022

Author(s)

Journal Title

Data Source

[Presentation] Quasitoric組み紐群の最小生成系について2023

Author(s)

Organizer

Data Source

[Presentation] A small generating set for the balanced superelliptic handlebogy group2023

Author(s)

Organizer

Data Source

[Presentation] Quasitoric組み紐群の最小生成系について2023

Author(s)

Organizer

Data Source

[Presentation] Quasitoric組み紐群の最小生成系について2023

Author(s)

Organizer

Data Source

[Presentation] A finite presentation for the balanced superelliptic handlebody group2023

Author(s)

Organizer

Data Source

[Presentation] Quasitoric組み紐群の最小生成系について2023

Author(s)

Organizer

Data Source

[Presentation] Finite presentations for the balanced superelliptic mapping class groups2022

Author(s)

Organizer

Data Source

[Presentation] Finite presentations for the balanced superelliptic mapping class groups2022

Author(s)

Organizer

Data Source

[Presentation] Finite presentations for the balanced superelliptic mapping class groups2022

Author(s)

Organizer

Data Source

[Presentation] A finite presentation for the balanced superelliptic handlebody group2022

Author(s)

Organizer

Data Source

[Presentation] The balanced superelliptic mapping class groups are generated by three elements2022

Author(s)

Omori Genki 大森源城