Inoue Ayumu 井上歩

… Alternative Names

INOUE Ayumu 井上歩

Less

Researcher Number	10610149
Other IDs
Affiliation (Current)	2022: 津田塾大学, 学芸学部, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2021: 津田塾大学, 学芸学部, 准教授 2017: 愛知教育大学, 教育学部, 准教授 2016: 愛知教育大学, 教育学部, 講師 2012: 東京工業大学, 大学院・情報理工学研究科, 科学研究費教育研究支援員 2012: 東京工業大学, 情報理工学(系)研究科, 研究員 2011: 東京工業大学, 大学院・情報理工学研究科, 東京工業大学特別研究員
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related
Keywords	Principal Investigator カンドル / トポロジー / 対称性 / 結び目 / ファイバー結び目 / 絡み目 / 絡み目ホモトピー / 曲面結び目 / 正多胞体 / 領域交差交換 / ザイフェルト曲面 / 正則タイル貼り / 幾何構造

Research Projects
(3 results)
Research Products
(37 results)

結び目の諸構造とカンドルコサイクル不変量Principal Investigator
- Principal Investigator
  
  井上歩
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tsuda College
Quandle theory, in the context of symmetry, for knot theoryPrincipal Investigator
- Principal Investigator
  
  Inoue Ayumu
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tsuda College
  Aichi University of Education
Study on quandle theory to classifying links up to link-homotopyPrincipal Investigator
- Principal Investigator
  
  INOUE Ayumu
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology

All 2020 2019 2018 2017 2016 2013 2012 2011

All Journal Article Presentation

[Journal Article] On the knot quandle of a fibered knot, finiteness and equivalence of knot quandles2019
- Author(s)
  Inoue Ayumu
- Journal Title
  
  Topology and its Applications
  
  Volume: 265
- DOI
  10.1016/j.topol.2019.07.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03476
[Journal Article] A subspecies of region crossing change, region freeze crossing change2016
- Author(s)
  Ayumu Inoue and Ryo Shimizu
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 25
- DOI
  10.1142/s0218216516500759
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17591
[Journal Article] Toward obtaining a table of link-homotopy classes: The second homology group of a reduced knot quandle2013
- Author(s)
  Ayumu Inoue
- Journal Title
  
  京都大学数理解析研究所講究録 Representation spaces, twisted topological invariants and geometric structures of 3-manifolds
  
  Volume: 不明
- Data Source
  KAKENHI-PROJECT-23840014
[Journal Article] Quasi-triviality of quandle for link-homotopy2013
- Author(s)
  Ayumu Inoue
- Journal Title
  
  Journal of Knot Theory and Its Ramifications(掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840014
[Journal Article] Toward obtaining a table of link-homotopy classes:The second homology group of a reduced knot quandle2013
- Author(s)
  Ayumu Inoue
- Journal Title
  
  京都大学数理解析研究所講究録「RIMS合宿型セミナーRepresentation spaces, twisted topological invariants and geometric structures of 3-manifolds」(掲載決定)
- Data Source
  KAKENHI-PROJECT-23840014
[Journal Article] On the availability of quandle theory to classifying links up to link-homotopy2013
- Author(s)
  Ayumu Inoue
- Journal Title
  
  京都大学数理解析研究所講究録「Intelligence of Low-dimensional Topology」(掲載決定)
- Data Source
  KAKENHI-PROJECT-23840014
[Journal Article] Quasi-triviality of quandles for link-homotopy2013
- Author(s)
  Ayumu Inoue
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 不明
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840014
[Journal Article] カンドルを利用した絡み目ホモトピー類の分類に向けて2012
- Author(s)
  井上歩
- Journal Title
  
  研究集会「結び目の数学IV」報告集
  
  Pages: 249-255
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] 三葉結び目を分岐集合とする3次元球面の有限巡回分岐被覆空間の三角形分割2020
- Author(s)
  井上歩
- Organizer
  2019年度琉球結び目セミナー
- Data Source
  KAKENHI-PROJECT-19K03476
[Presentation] 正多胞体が定めるカンドルについて2020
- Author(s)
  井上歩
- Organizer
  カンドルと対称空間
- Invited
- Data Source
  KAKENHI-PROJECT-19K03476
[Presentation] 結び目に付随する代数系「カンドル」と対称性2020
- Author(s)
  井上歩
- Organizer
  非線形波動から可積分系へ
- Invited
- Data Source
  KAKENHI-PROJECT-19K03476
[Presentation] The fibered knots whose knot quandles are finite2020
- Author(s)
  Ayumu Inoue
- Organizer
  The 15th East Asian Conference on Geometric Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03476
[Presentation] The twist-spinning of classical knots whose knot quandles are finite2019
- Author(s)
  Ayumu Inoue
- Organizer
  Knots in Tsushima 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03476
[Presentation] Quandle theory, a language for symmetries2018
- Author(s)
  Ayumu Inoue
- Organizer
  USF Mathematics and Statics Colloquium, University of South Florida, U.S.A.
- Invited
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] どうやって 3-, 4-, or 5-twist-spun trefoil の結び目カンドルと同型なカンドルを見つけたのか2018
- Author(s)
  井上歩
- Organizer
  2018年度琉球結び目セミナー
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] ファイバー結び目とカンドル理論2018
- Author(s)
  井上歩
- Organizer
  東京女子大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] ファイバー結び目の結び目カンドル2017
- Author(s)
  井上歩
- Organizer
  拡大KOOKセミナー2017
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] A watershed on the set of twist spun trefoils2017
- Author(s)
  井上歩
- Organizer
  東京女子大学トポロジーセミナー
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] A watershed on the set of twist spun trefoils2017
- Author(s)
  井上歩
- Organizer
  N-KOOKセミナー
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] 領域交差交換の亜種について2016
- Author(s)
  井上歩
- Organizer
  日本数学会2016年度秋季総合分科会
- Place of Presentation
  関西大学（大阪府・吹田市）
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] 領域交差交換の亜種について～領域凍結交差交換～2016
- Author(s)
  井上歩
- Organizer
  東京女子大学トポロジーセミナー
- Place of Presentation
  東京女子大学（東京都・杉並区）
- Invited
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] A subspecies of region crossing change, region freeze crossing change2016
- Author(s)
  Ayumu Inoue
- Organizer
  KOOK-TAPU Workshop of Knots in Tsushima Island
- Place of Presentation
  TIARA（下対馬離島開発センター）（長崎県・対馬市）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] 領域凍結交差交換とその性質2016
- Author(s)
  井上歩
- Organizer
  拡大KOOKセミナー2016
- Place of Presentation
  大阪電気通信大学（大阪府・寝屋川市）
- Data Source
  KAKENHI-PROJECT-16K17591
[Presentation] On the availability of quandle theory to classifying links up to link-homotopy2013
- Author(s)
  Ayumu Inoue
- Organizer
  研究集会「Intelligence of Low-dimensional Topology」
- Place of Presentation
  京都大学
- Year and Date
  2013-05-22
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] On the availability of quandle theory to classifying links up to link-homotopy2013
- Author(s)
  Ayumu Inoue
- Organizer
  研究集会「Intelligence of Low-dimensional topology」
- Place of Presentation
  京都大学数理解析研究所（京都府）
- Invited
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] Quandle and link-homotopy2012
- Author(s)
  Ayumu Inoue
- Organizer
  国際研究集会「The Eighth East Asian School of Knots and Related Topics」
- Place of Presentation
  KAIST,Daejeon,Korea.
- Year and Date
  2012-01-10
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] Quasi-triviality of quandles for link-homotopy2012
- Author(s)
  Ayumu Inoue
- Organizer
  国際研究集会「Knots in Washington XXXV」
- Place of Presentation
  The George Washington University,Washington,DC,U.S.A.
- Year and Date
  2012-12-08
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] An approach to classifying links up to link-homotopy using quandle colorings2012
- Author(s)
  Ayumu Inoue
- Organizer
  RIMS Seminar: Representation spaces, twisted topological invariants and geometric structures of 3-manifolds
- Place of Presentation
  強羅静雲荘（神奈川県）
- Invited
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] 「それぞれほどける」は「ぜんぶほどける」か?2012
- Author(s)
  井上歩
- Organizer
  研究集会「2012琉球結び目セミナー」
- Place of Presentation
  てんぶす琉球.
- Year and Date
  2012-09-03
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] 結び目カンドルの表現からわかる絡み目の幾何について2012
- Author(s)
  井上歩
- Organizer
  第59回トポロジーシンポジウム
- Place of Presentation
  佐賀大学（佐賀県）
- Invited
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] Quasi-triviality of quandles for link-homotopy2012
- Author(s)
  Ayumu Inoue
- Organizer
  Knots in Washington XXXV
- Place of Presentation
  The George Washington University, Washington, DC, U.S.A.
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] An approach to classifying links up to link-homotopy using quandle colorings2012
- Author(s)
  Ayumu Inoue
- Organizer
  研究集会「RIMS Seminar: Representation spaces, twisted topological invariants and geometric structures of 3-manifolds」
- Place of Presentation
  強羅静雲荘
- Year and Date
  2012-05-28
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] 絡み目ホモトピー不変なカンドルコサイクル不変量2012
- Author(s)
  井上歩
- Organizer
  日本数学会2012年度年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] Quandle and link-homotopy2012
- Author(s)
  井上歩
- Organizer
  研究集会「The Eighth East Asian School of Knots and Related Topics」
- Place of Presentation
  KAIST, Daejeon, Korea
- Year and Date
  2012-01-10
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] 「それぞれほどける」は「ぜんぶほどける」か？2012
- Author(s)
  井上歩
- Organizer
  2012琉球結び目セミナー
- Place of Presentation
  てんぶす那覇（沖縄県）
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] 結び目カンドルの表現からわかる絡み目の幾何について2012
- Author(s)
  井上歩
- Organizer
  研究集会「第59回トポロジーシンポジウム」
- Place of Presentation
  佐賀大学
- Year and Date
  2012-08-12
- Data Source
  KAKENHI-PROJECT-23840014
[Presentation] カンドルを利用した絡み目ホモトピー類の分類に向けて2011
- Author(s)
  井上歩
- Organizer
  研究集会「結び目の数学IV」
- Place of Presentation
  東京女子大学
- Year and Date
  2011-12-27
- Data Source
  KAKENHI-PROJECT-23840014

Inoue Ayumu 井上 歩

INOUE Ayumu 井上 歩

Research Projects

Research Products

結び目の諸構造とカンドルコサイクル不変量Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Quandle theory, in the context of symmetry, for knot theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on quandle theory to classifying links up to link-homotopyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On the knot quandle of a fibered knot, finiteness and equivalence of knot quandles2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A subspecies of region crossing change, region freeze crossing change2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Toward obtaining a table of link-homotopy classes: The second homology group of a reduced knot quandle2013

Author(s)

Journal Title

Data Source

[Journal Article] Quasi-triviality of quandle for link-homotopy2013

Author(s)

Journal Title

Data Source

[Journal Article] Toward obtaining a table of link-homotopy classes:The second homology group of a reduced knot quandle2013

Author(s)

Journal Title

Data Source

[Journal Article] On the availability of quandle theory to classifying links up to link-homotopy2013

Author(s)

Journal Title

Data Source

[Journal Article] Quasi-triviality of quandles for link-homotopy2013

Author(s)

Journal Title

Data Source

[Journal Article] カンドルを利用した絡み目ホモトピー類の分類に向けて2012

Author(s)

Journal Title

Data Source

[Presentation] 三葉結び目を分岐集合とする3次元球面の有限巡回分岐被覆空間の三角形分割2020

Author(s)

Organizer

Data Source

[Presentation] 正多胞体が定めるカンドルについて2020

Author(s)

Organizer

Data Source

[Presentation] 結び目に付随する代数系「カンドル」と対称性2020

Author(s)

Organizer

Data Source

[Presentation] The fibered knots whose knot quandles are finite2020

Author(s)

Organizer

Data Source

[Presentation] The twist-spinning of classical knots whose knot quandles are finite2019

Author(s)

Organizer

Data Source

[Presentation] Quandle theory, a language for symmetries2018

Author(s)

Organizer

Data Source

Inoue Ayumu 井上歩

INOUE Ayumu 井上歩

[Presentation] 領域交差交換の亜種について～領域凍結交差交換～2016