MURAO Tomo 村尾智

… Alternative Names

Murao Tomo 村尾智

Less

Researcher Number	10880304
Other IDs
Affiliation (Current)	2025: 広島大学, 先進理工系科学研究科(理), 准教授 2025: 高知大学, 教育研究部自然科学系理工学部門, 助教
Affiliation (based on the past Project Information) *help	2022 – 2023: 高知大学, 教育研究部自然科学系理工学部門, 助教 2020 – 2021: 早稲田大学, グローバルエデュケーションセンター, 講師(任期付)
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords	Principal Investigator 多重共役カンドル / カンドル（ラック）コサイクル不変量 / ねじれAlexander不変量 / ラック / カンドル / 空間曲面 / ハンドル体結び目 / 結び目 / 4-同値 / Alexander不変量 … More / Alexander pair / MCQ Alexander pair / 拡大 / カイラリティ / 可逆性 / （多重群）ラックコサイクル不変量 / 多重群ラック Less

カンドル理論を用いたハンドル体結び目の拡大Alexander不変量の研究Principal Investigator
- Principal Investigator
  
  村尾智
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kochi University
  Waseda University
Research on the geometric structures of handlebody-knots and their complementsPrincipal Investigator
- Principal Investigator
  
  Murao Tomo
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Kochi University
  Waseda University

All 2023 2022 2021 2020

All Journal Article Presentation

[Journal Article] On sufficiency of the definition of MCQ Alexander pairs in terms of invariants for handlebody-knots2022
- Author(s)
  Murao Tomo
- Journal Title
  
  Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry
  
  Volume: - Issue: 3 Pages: 689-719
- DOI
  10.1007/s13366-022-00652-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13796, KAKENHI-PROJECT-20K22312
[Journal Article] Linear extensions of multiple conjugation quandles and MCQ Alexander pairs2021
- Author(s)
  Tomo Murao
- Journal Title
  
  Journal of Algebra and Its Applications
  
  Volume: Online Ready Issue: 03 Pages: 2150045-2150045
- DOI
  10.1142/s0219498821500456
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18J10105, KAKENHI-PROJECT-20K22312
[Journal Article] The tunnel number and the cutting number with constituent handlebody-knots2021
- Author(s)
  Tomo Murao
- Journal Title
  
  Topology and its Applications
  
  Volume: 292 Pages: 107632-107632
- DOI
  10.1016/j.topol.2021.107632
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K22312
[Journal Article] Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs2020
- Author(s)
  Tomo Murao
- Journal Title
  
  Topology and its Applications
  
  Volume: － Pages: 107531-107531
- DOI
  10.1016/j.topol.2020.107531
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K22312
[Journal Article] A multiple group rack and oriented spatial surfaces2020
- Author(s)
  Atsushi Ishii, Shosaku Matsuzaki and Tomo Murao
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 29 Issue: 07 Pages: 2050046-2050046
- DOI
  10.1142/s0218216520500467
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03292, KAKENHI-PROJECT-20K22312
[Presentation] ハンドル体結び目と彩色理論について2023
- Author(s)
  村尾智
- Organizer
  第42回高知大学理工学部門研究談話会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] ハンドル体結び目と彩色理論について2023
- Author(s)
  村尾智
- Organizer
  第42回高知大学理工学部門研究談話会
- Invited
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] Multiple conjugation quandle colorings for handlebody-knots2022
- Author(s)
  村尾智
- Organizer
  第113回高知大学数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] Multiple group rack cocycle invariants of spatial surfaces2022
- Author(s)
  Tomo Murao
- Organizer
  The 18th East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] On constituent links of handlebody-knots and associated multiple conjugation quandle colorings2022
- Author(s)
  Tomo Murao
- Organizer
  The 17th East Asian Conference on Geometric Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] Multiple conjugation quandle colorings for handlebody-knots2022
- Author(s)
  村尾智
- Organizer
  第113回高知大学数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] ハンドル体結び目と多重共役カンドル彩色について2022
- Author(s)
  村尾智
- Organizer
  早稲田大学数学教育学会講演会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] 空間曲面と多重群ラックコサイクル不変量2022
- Author(s)
  村尾智
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] 空間曲面と多重群ラックコサイクル不変量2022
- Author(s)
  村尾智
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] ハンドル体結び目と多重共役カンドル彩色について2022
- Author(s)
  村尾智
- Organizer
  早稲田大学数学教育学会講演会
- Invited
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] Multiple group rack cocycle invariants of spatial surfaces2022
- Author(s)
  Tomo Murao
- Organizer
  The 18th East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] On constituent links of handlebody-knots and associated multiple conjugation quandle colorings2022
- Author(s)
  Tomo Murao
- Organizer
  The 17th East Asian Conference on Geometric Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] ハンドル体結び目のf-ねじれAlexander不変量とk-同値類2021
- Author(s)
  村尾智
- Organizer
  N-KOOKセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] MCQ twisted Alexander invariants for handlebody-knots2021
- Author(s)
  Tomo Murao
- Organizer
  The 16th East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] On constituent links of genus 2 handlebody-knots and associated multiple conjugation quandle colorings2021
- Author(s)
  Tomo Murao
- Organizer
  AMS Fall Southeastern Virtual Sectional Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] On invariants for handlebody-knots and spatial surfaces2021
- Author(s)
  村尾智
- Organizer
  Intelligence of Low-dimensional Topology 2021
- Invited
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] On constituent links of genus 2 handlebody-knots2021
- Author(s)
  Tomo Murao
- Organizer
  Friday Seminar on Knot Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] On constituent links of genus 2 handlebody-knots2021
- Author(s)
  Tomo Murao
- Organizer
  Friday Seminar on Knot Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] On constituent links of genus 2 handlebody-knots and associated multiple conjugation quandle colorings2021
- Author(s)
  Tomo Murao
- Organizer
  AMS Fall Southeastern Virtual Sectional Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] ハンドル体結び目のf-ねじれAlexander不変量とk-同値類2021
- Author(s)
  村尾智
- Organizer
  N-KOOKセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] On invariants for handlebody-knots and spatial surfaces2021
- Author(s)
  村尾智
- Organizer
  Intelligence of Low-dimensional Topology 2021
- Invited
- Data Source
  KAKENHI-PROJECT-21K13796
[Presentation] Twisted derivatives for multiple conjugation quandles2021
- Author(s)
  村尾智
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] Multiple group rack colorings for oriented spatial surfaces2020
- Author(s)
  Tomo Murao
- Organizer
  Friday Seminar on Knot Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] 多重共役カンドルのねじれ微分2020
- Author(s)
  村尾智
- Organizer
  拡大KOOKセミナー2020
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] ハンドル体結び目のディスクシステムとカンドルの連結成分2020
- Author(s)
  村尾智
- Organizer
  東北結び目セミナー2020
- Data Source
  KAKENHI-PROJECT-20K22312
[Presentation] ハンドル体結び目のMCQねじれAlexander不変量2020
- Author(s)
  村尾智
- Organizer
  結び目の数理III
- Data Source
  KAKENHI-PROJECT-20K22312

1. ISHII Atsushi

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

MURAO Tomo 村尾 智

Murao Tomo 村尾 智

Research Projects

Research Products

Co-Researchers

カンドル理論を用いたハンドル体結び目の拡大Alexander不変量の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on the geometric structures of handlebody-knots and their complementsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] On sufficiency of the definition of MCQ Alexander pairs in terms of invariants for handlebody-knots2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Linear extensions of multiple conjugation quandles and MCQ Alexander pairs2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The tunnel number and the cutting number with constituent handlebody-knots2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A multiple group rack and oriented spatial surfaces2020

Author(s)

Journal Title

DOI

Data Source

[Presentation] ハンドル体結び目と彩色理論について2023

Author(s)

Organizer

Data Source

[Presentation] ハンドル体結び目と彩色理論について2023

Author(s)

Organizer

Data Source

[Presentation] Multiple conjugation quandle colorings for handlebody-knots2022

Author(s)

Organizer

Data Source

[Presentation] Multiple group rack cocycle invariants of spatial surfaces2022

Author(s)

Organizer

Data Source

[Presentation] On constituent links of handlebody-knots and associated multiple conjugation quandle colorings2022

Author(s)

Organizer

Data Source

[Presentation] Multiple conjugation quandle colorings for handlebody-knots2022

Author(s)

Organizer

Data Source

[Presentation] ハンドル体結び目と多重共役カンドル彩色について2022

Author(s)

Organizer

Data Source

[Presentation] 空間曲面と多重群ラックコサイクル不変量2022

Author(s)

Organizer

Data Source

[Presentation] 空間曲面と多重群ラックコサイクル不変量2022

Author(s)

Organizer

Data Source

[Presentation] ハンドル体結び目と多重共役カンドル彩色について2022

Author(s)

MURAO Tomo 村尾智

Murao Tomo 村尾智