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Tanaka Toshifumi  田中 利史

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… Alternative Names

TANAKA Toshihumi  田中 利史

TANAKA Tanaka  田中 利史

田中 利史  タナカ トシフミ

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Researcher Number 60396851
Other IDs
Affiliation (Current) 2023: 岐阜大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help 2016 – 2022: 岐阜大学, 教育学部, 准教授
2011 – 2013: 岐阜大学, 教育学部, 准教授
2007: Osaka City University, 大学院・理学研究科, 博士研究員
2006: 大阪市立大学, 大学院理学研究科, 博士研究員
2005: 東京大学, 大学院・数理科学研究科, 研究拠点形成特任研究員
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Basic Section 09070:Educational technology-related
Keywords
Principal Investigator
対称和 / リボン結び目 / 結び目 / 曲面 / 微分構造 / 量子不変量 / Kauffman多項式 / Khovanovホモロジー / Rasmussen不変量 / Thurston-Bennequin不変量 … More / Casson ハンドル / スライス種数 / エキゾチック構造 / スケイン理論 / 結び目理論 / ジョーンズ多項式 / 体積予想 / 結び目コボルディズム / スライス結び目 / 国際情報交換(韓国) / 国際情報交流(韓国) / 位相幾何学 / 本質的曲面 … More
Except Principal Investigator
結び目理論 / トポロジー / 3次元多様体 / 空間グラフ / 数理モデル / 双曲幾何 / 可積分系 / 領域選択ゲーム / 位相幾何 / 物理 / 化学 / 生物 / STEAM教育 / アクティブラーニング / マルチメディア / AL / L-S理論 / 位相的データ解析(TDA) Less
  • Research Projects

    (8 results)
  • Research Products

    (42 results)
  • Co-Researchers

    (23 People)
  •  A characterization of a ribbon knot and its presentation by making use of a surfacePrincipal Investigator

    • Principal Investigator
      田中 利史
    • Project Period (FY)
      2022 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Gifu University
  •  マルチメディアとALによる数学の深い学びへの誘いとその効果の検証

    • Principal Investigator
      酒井 道宏
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 09070:Educational technology-related
    • Research Institution
      Kurume National College of Technology
  •  Symmetric unions and essential surfacesPrincipal Investigator

    • Principal Investigator
      Tanaka Toshifumi
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Gifu University
  •  A characterization of a ribbon knot with property of surfaces in the knot complementPrincipal Investigator

    • Principal Investigator
      Tanaka Toshifumi
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Gifu University
  •  Studies of knot theory and their applications

    • Principal Investigator
      KAWAUCHI Akio
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Study on topological properties of quantum invariants concerning to knot cobordismPrincipal Investigator

    • Principal Investigator
      TANAKA Toshifumi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Gifu University
  •  Studies of Knot Theory

    • Principal Investigator
      KAWAUCHI Akio
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  スケイン理論及び基本群の表現論を用いた量子不変量の研究Principal Investigator

    • Principal Investigator
      田中 利史
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
      The University of Tokyo

All 2022 2021 2020 2019 2018 2017 2016 2014 2013 2012 2011 2007 2006 2005 Other

All Journal Article Presentation Book

  • [Book] トポロジー入門2005

    • Author(s)
      田中 利史, 村上 斉
    • Total Pages
      216
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-17740031
  • [Journal Article] A formula for the Jones polynomial of symmetric unions2022

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 46 Pages: 1-6

    • Open Access
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Journal Article] On satellite knots with symmetric union presentations2021

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      Osaka J. Math.

      Volume: 58 Pages: 685-696

    • NAID

      120007124662

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Journal Article] On equivalence of symmetric union presentations for ribbon knot2021

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 30

    • DOI

      10.1142/s0218216521500589

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Journal Article] On Fox colorings of symmetric unions2021

    • Author(s)
      Toshifumi Tanaka
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 45 Pages: 11-14

    • NAID

      120007044380

    • Open Access
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Journal Article] On composite knots with symmetric union presentations2019

    • Author(s)
      田中利史
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 28 Pages: 1-22

    • DOI

      10.1142/s0218216519500652

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Journal Article] ON THE JONES POLYNOMIAL OF SYMMETRIC UNIONS WITH TWO COMPONENTS2019

    • Author(s)
      TOSHIFUMI TANAKA
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 43 Pages: 13-19

    • NAID

      120006604439

    • Data Source
      KAKENHI-PROJECT-16K05145
  • [Journal Article] On the number of p-colorings of knots2018

    • Author(s)
      Shou Mizuguchi, Toshifumi Tanaka
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 42 Pages: 9-13

    • NAID

      120006462608

    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K05145
  • [Journal Article] The region index and the unknotting number of a knot2017

    • Author(s)
      Toshifumi Tanaka
    • Journal Title

      Topology and its Applications

      Volume: 219 Pages: 141-151

    • DOI

      10.1016/j.topol.2017.01.012

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16K05145
  • [Journal Article] Signed Gordian distances, the Jones polynomial and Rasmussen invariant of knots2014

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 38 Pages: 5-14

    • NAID

      110009864345

    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] Signed Gordian distances, the Jones polynomial and Rasmussen invariant of knots2014

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 第38巻 Pages: 5-14

    • NAID

      110009864345

    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] Positive knots and Rasmussen's invariant2013

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 第37巻 Pages: 1-5

    • NAID

      110009559095

    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] Positive knots and Rasmussen's invariant2013

    • Author(s)
      田中利史
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 37 Pages: 1-5

    • NAID

      110009559095

    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] An infinite family of prime satellite knots with the same Alexander polynomial2012

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 第36巻 Pages: 1-4

    • NAID

      110009422749

    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] AN INFINITE FAMILY OF CASSON HANDLES AND THE RASMUSSEN INVARIANT OF A KNOT2011

    • Author(s)
      田中 利史
    • Journal Title

      Journal of Knot Theory and its Ramifications

      Volume: 20 Pages: 1229-1236

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] An infinite family of prime satellite knots with the same Alexander polynomial2011

    • Author(s)
      田中 利史
    • Journal Title

      岐阜大学教育学部研究報告(自然科学)

      Volume: 36 Pages: 1-4

    • NAID

      110009422749

    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] An infinite family of Casson handles and the Rasmussen invariant of a knot2011

    • Author(s)
      Toshifumi Tanaka
    • Journal Title

      J. Knot Theory Ramifications

      Volume: Vol.20 Pages: 1229-1236

    • DOI

      10.1142/s0218216511009297

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244005
  • [Journal Article] AN INFINITE FAMILY OF CASSON HANDLES AND THE RASMUSSEN INVARIANT OF A KNOT2011

    • Author(s)
      Tanaka, Toshifumi
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 20, no.9 Pages: 1229-1236

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Journal Article] ON TABULATION OF MUTANTS2007

    • Author(s)
      A. Stoimenow, 田中 利史
    • Journal Title

      Knots and Everything 40

      Pages: 299-306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17740031
  • [Journal Article] Maximal Thurston-Bennequin numbers of alternating links2006

    • Author(s)
      田中利史
    • Journal Title

      Topology and its Applications 153巻

      Pages: 2476-2483

    • Data Source
      KAKENHI-PROJECT-17740031
  • [Journal Article] On the Jones polynomial of ribbon knots2005

    • Author(s)
      田中 利史
    • Journal Title

      Journal of Knot Theory and its Ramifications 14巻・1号

      Pages: 1-2

    • Data Source
      KAKENHI-PROJECT-17740031
  • [Journal Article] Maximal Thurston-Bennequin numbers of alternating links

    • Author(s)
      田中 利史
    • Journal Title

      Topology and its Applications (印刷中)

    • Data Source
      KAKENHI-PROJECT-17740031
  • [Presentation] On equivalence of symmetric union presentations for ribbon knot2021

    • Author(s)
      田中利史
    • Organizer
      拡大KOOKセミナー 2021
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Presentation] On knots and links with symmetric union presentations2020

    • Author(s)
      Toshifumi Tanaka
    • Organizer
      拡大KOOKセミナー 2020
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Presentation] Symmetric unions and essential tori2020

    • Author(s)
      田中利史
    • Organizer
      Knots and Spatial Graphs 2020
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Presentation] On satellite knots with symmetric union presentations2019

    • Author(s)
      田中利史
    • Organizer
      トポロジーとコンピュータ2019
    • Data Source
      KAKENHI-PROJECT-19K03465
  • [Presentation] 結び目の対称和とその性質について2019

    • Author(s)
      田中利史
    • Organizer
      岐阜大学トポロジーセミナー
    • Data Source
      KAKENHI-PROJECT-16K05145
  • [Presentation] On composite symmetric unions2017

    • Author(s)
      Toshifumi Tanaka
    • Organizer
      4次元トポロジー
    • Data Source
      KAKENHI-PROJECT-16K05145
  • [Presentation] On the region index and the unknotting number of a knot2017

    • Author(s)
      Toshifumi Tanaka
    • Organizer
      Friday Seminar on Knot Theory
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05145
  • [Presentation] On composite knots with symmetric union presentations2016

    • Author(s)
      田中利史
    • Organizer
      拡大KOOKセミナー2016
    • Place of Presentation
      大阪電気通信大学
    • Data Source
      KAKENHI-PROJECT-16K05145
  • [Presentation] On the maximal Thurston-Bennequin number for knots in a Legendrian graph2013

    • Author(s)
      田中利史
    • Organizer
      E-KOOKセミナー
    • Place of Presentation
      大阪市立大学学術情報センター
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On the maximal Thurston-Bennequin number for knots in a Legendrian graph2013

    • Author(s)
      田中利史
    • Organizer
      研究集会「E-KOOKセミナー」
    • Place of Presentation
      大阪市立大学学術情報センター
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On the maximal Thurston-Bennequin number for knots in a spatial graph2013

    • Author(s)
      田中利史
    • Organizer
      日本数学会トポロジー分科会
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On the Jones polynomial of knots with symmetric union presentations2013

    • Author(s)
      田中利史
    • Organizer
      The 9th East Asian School of Knots and Related Topics
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On slice knots and smooth 4-manifolds2013

    • Author(s)
      Tanaka, Toshifumi
    • Organizer
      第6回日本―メキシコ位相数学合同シンポジウム
    • Place of Presentation
      島根大学
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On the maximal Thurston-Bennequin number for knots in a spatial graph2013

    • Author(s)
      田中利史
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On the Jones polynomial of knots with symmetric union presentations2013

    • Author(s)
      田中利史
    • Organizer
      研究集会「The 9th East Asian School of Knots and Related Topics」
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On slice knots and smooth 4-manifolds2013

    • Author(s)
      田中利史
    • Organizer
      第6回日本―メキシコ位相数学合同シンポジウム(同時開催)
    • Place of Presentation
      島根大学
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On the Thurston-Bennequin number of Legendrian graphs2012

    • Author(s)
      田中 利史
    • Organizer
      研究集会「接触構造・特異点・微分方程式およびその周辺」(招待講演)
    • Place of Presentation
      鹿児島大学理学部
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On the Thurston-Bennequin number of Legendrian graphs2012

    • Author(s)
      田中利史
    • Organizer
      研究集会「接触構造・特異点・微分方程式およびその周辺」
    • Place of Presentation
      鹿児島大学理学部
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On symmetry of the Jones polynomial of ribbon knots2011

    • Author(s)
      田中利史
    • Organizer
      The 3rd KOOK-TAPU Joint Seminar on Knot Theory and Related Topics
    • Place of Presentation
      大阪市立大学
    • Data Source
      KAKENHI-PROJECT-23740046
  • [Presentation] On symmetry of the Jones polynomial of ribbon knots2011

    • Author(s)
      田中利史
    • Organizer
      The 3rd KOOK. TAPU Joint Seminar on Knot Theory and Related Topics
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2011-07-26
    • Data Source
      KAKENHI-PROJECT-21244005
  • 1.  KAWAUCHI Akio (00112524)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  KANENOBU Taizo (00152819)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  IWAKIRI Masahide (10453127)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  MORIUCHI Hiromasa (20453128)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  TAYAMA Ikuo (00382036)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  SAKUMA Makoto (30178602)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  NAKANISHI Yasutaka (70183514)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KAMADA Seiichi (60254380)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  TERAGAITO Masakazu (80236984)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  TANIYAMA Kouki (10247207)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  MOTEGI Kimihiko (40219978)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  OOYAMA Toshiyuki (80223981)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  GOUDA Hiroshi (60266913)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  SHIMOKAWA Koya (60312633)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  SATOU Shin (90345009)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  YAMAMOTO Ryousuke (80445006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  HASHIMOTO Yoshitake (20271182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  MASUDA Mikiya (00143371)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  CHON Inde (30587788)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  KISHIMOTO Kengo (70587774)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  OTSUKI Tomotada (50223871)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  SHIMIZU Ayaka (40638764)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  酒井 道宏 (90353276)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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