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Ishikawa Katsumi  石川 勝巳

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石川 勝巳  イシカワ カツミ

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Researcher Number 90850610
Other IDs
Affiliation (Current) 2025: 京都大学, 数理解析研究所, 助教
Affiliation (based on the past Project Information) *help 2025: 京都大学, 数理解析研究所, 助教
2020 – 2023: 京都大学, 数理解析研究所, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related
Keywords
Principal Investigator
結び目 / 被覆空間 / ファイバー性 / 捩れAlexander多項式 / 3次元多様体 / 量子不変量 / 可逆性 / 有限型不変量 / Kontsevich不変量
  • Research Projects

    (2 results)
  • Research Products

    (11 results)
  •  On the vanishing of the twisted Alexander polynomial for knots and 3-manifoldsPrincipal Investigator

    • Principal Investigator
      石川 勝巳
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Kyoto University
  •  Kontsevich不変量と結び目の可逆性Principal Investigator

    • Principal Investigator
      石川 勝巳
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Kyoto University

All 2024 2023 2022 2021

All Journal Article Presentation

  • [Journal Article] Quandle colorings vs. biquandle colorings2024

    • Author(s)
      Ishikawa Katsumi、Tanaka Kokoro
    • Journal Title

      Topology and its Applications

      Volume: 345 Pages: 108832-108832

    • DOI

      10.1016/j.topol.2024.108832

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K14309, KAKENHI-PROJECT-21K03220
  • [Presentation] The trapezoidal conjecture for links of braid index 32024

    • Author(s)
      Katsumi Ishikawa
    • Organizer
      The 19th East Asian Conference on Geometric Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] The trapezoidal conjecture for knots and links of braid index 32024

    • Author(s)
      Katsumi Ishikawa
    • Organizer
      Knot theory, LMO invariants and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] Finite groups admitting knot representations with twisted Alexander polynomials zero2023

    • Author(s)
      石川 勝巳
    • Organizer
      拡大KOOKセミナー2023
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] Twisted Alexander vanishing order2023

    • Author(s)
      石川 勝巳
    • Organizer
      京都大学微分トポロジーセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] Torsions in Jacobi diagram spaces2022

    • Author(s)
      石川 勝巳
    • Organizer
      結び目の数理 V
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] Extended quandle spaces and their applications2021

    • Author(s)
      石川 勝巳
    • Organizer
      カンドルと対称空間
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] On the associated groups of the quandles2021

    • Author(s)
      石川 勝巳
    • Organizer
      拡大KOOKセミナー 2021
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] A spectral sequence on quandle homology2021

    • Author(s)
      石川 勝巳
    • Organizer
      Friday Seminar on Knot Theory
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] Generalizations of Galkin quandles and lifting properties of colorings2021

    • Author(s)
      石川 勝巳
    • Organizer
      ハンドル体結び目とその周辺 14
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14309
  • [Presentation] Extended quandle spaces and their applications2021

    • Author(s)
      石川 勝巳
    • Organizer
      広島大学 トポロジー・幾何セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K14309

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