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Ueki Jun  植木 潤

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Jun Ueki  植木 潤

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Researcher Number 90780081
Other IDs
Affiliation (Current) 2025: お茶の水女子大学, 基幹研究院, 講師
Affiliation (based on the past Project Information) *help 2022 – 2023: お茶の水女子大学, 基幹研究院, 講師
2019 – 2021: 東京電機大学, システムデザイン工学部, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related
Keywords
Principal Investigator
チェボタレフ絡み目 / 数論的位相幾何学 / 岩澤不変量 / 副有限剛性 / p進トーション / 3次元多様体上のフローの軌道族 / 円単数 / 岩澤理論 / 単数と曲面 / 表現 … More / 多変数Alexander多項式 / 葉層力学系のL関数 / L不変量 / ツイスト結び目 / non-acyclc表現 / 捻じれアレクサンダー多項式 / 副有限完備化 / 三角群の保型形式 / ヒルベルト相互律 / 普遍変形のL関数 / non-acyclic表現 / non-acyclic表現・普遍変形のL関数 / Weberの類数問題 / 岩澤理論・セルマー群 / 結び目・絡み目・3次元多様体 / モジュラー結び目 / イデール的類体論 Less
  • Research Projects

    (2 results)
  • Research Products

    (52 results)
  • Co-Researchers

    (1 People)
  •  Pioneering arithmetic topology around cyclotomic units and application to profinite rigidityPrincipal Investigator

    • Principal Investigator
      植木 潤
    • Project Period (FY)
      2023 – 2026
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Ochanomizu University
  •  L-functions of pseudo-Anosov flows and idele theory for 3-manifoldsPrincipal Investigator

    • Principal Investigator
      Jun Ueki
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Ochanomizu University
      Tokyo Denki University

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation Book

  • [Book] 数理科学「素数の探求」, 2019年12月「Chebotarev絡み目とイデール的類体論」2019

    • Author(s)
      植木潤
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] A note on units and surfaces2024

    • Author(s)
      Jun Ueki and Akane Yasuda
    • Journal Title

      “Low dimensional topology and number theory -- in memory of Toshie Takata” Springer Proc. in Math. & Statistics

      Volume: to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Journal Article] Modular knots, automorphic forms, and the Rademacher symbols for triangle groups2023

    • Author(s)
      Toshiki Matsusaka, Jun Ueki
    • Journal Title

      Research in the Mathematical Sciences

      Volume: 10, Article number 4 Issue: 1

    • DOI

      10.1007/s40687-022-00366-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K18141, KAKENHI-PROJECT-20K14292, KAKENHI-PROJECT-19K14538
  • [Journal Article] Hilbert symbols on a 3-manifold with a Chebotarev link2023

    • Author(s)
      Hirofumi Niibo and Jun Ueki
    • Journal Title

      Res.Math.Sci.

      Volume: 10 Issue: 1

    • DOI

      10.1007/s40687-022-00364-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Twisted Iwasawa invariants of knots2023

    • Author(s)
      Tange Ryoto、Ueki Jun
    • Journal Title

      Mathematische Nachrichten

      Volume: 297 Issue: 4 Pages: 1519-1534

    • DOI

      10.1002/mana.202200543

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Journal Article] Idelic class field theory for 3-manifolds and Chebotarev links, a survey2022

    • Author(s)
      Hirofumi Niibo and Jun Ueki
    • Journal Title

      RIMS Kokyu-roku Bessatsu

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Erratum to: Profinite rigidity for twisted Alexander polynomials2022

    • Author(s)
      Jun Ueki
    • Journal Title

      J. Reine Angew. Math.

      Volume: 783 Issue: 783 Pages: 275-278

    • DOI

      10.1515/crelle-2021-0079

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Non-acyclic SL2-representations of Twist Knots, -3-Dehn Surgeries, and L-functions2021

    • Author(s)
      Tange Ryoto、Tran Anh T、Ueki Jun
    • Journal Title

      International Mathematics Research Notices

      Volume: - Issue: 15 Pages: 11690-11731

    • DOI

      10.1093/imrn/rnab034

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Profinite rigidity for twisted Alexander polynomials2020

    • Author(s)
      Ueki Jun
    • Journal Title

      Journal f?r die reine und angewandte Mathematik (Crelles Journal)

      Volume: 2021 Issue: 771 Pages: 171-192

    • DOI

      10.1515/crelle-2020-0014

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Chebotarev links are stably generic2020

    • Author(s)
      Jun Ueki
    • Journal Title

      Bull. Lond. Math. Soc.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] p-adic Mahler measure and Z-covers of links.2020

    • Author(s)
      Jun Ueki
    • Journal Title

      Ergodic Theory Dynam. Systems

      Volume: 40 Issue: 1 Pages: 272-288

    • DOI

      10.1017/etds.2018.35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Olympic links in a Chebotarev link2020

    • Author(s)
      Jun Ueki
    • Journal Title

      Proc. Int. Geom. Cent.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Olympic links in a Chebotarev link2020

    • Author(s)
      Ueki Jun
    • Journal Title

      Proceedings of the International Geometry Center

      Volume: 13 Issue: 4 Pages: 40-49

    • DOI

      10.15673/tmgc.v13i4.1751

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Chebotarev links are stably generic2020

    • Author(s)
      Ueki Jun
    • Journal Title

      Bulletin of the London Mathematical Society

      Volume: 53 Issue: 1 Pages: 82-91

    • DOI

      10.1112/blms.12400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Journal Article] Idelic class field theory for 3-manifolds and very admissible links2019

    • Author(s)
      Hirofumi Niibo, Jun Ueki
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 371 Issue: 12 Pages: 8467-8488

    • DOI

      10.1090/tran/7480

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] The p-adic limits of the torsions in Zp-covers of knots2024

    • Author(s)
      Jun Ueki
    • Organizer
      PGGT seminar (Online seminar on Prob- abilistic and Geometric Group Theory), Germany (online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] On profinite rigidity of the multivariable Alexander polynomials of links2024

    • Author(s)
      Jun Ueki
    • Organizer
      The 19th East Asian Conference on Geometric Topology, RIMS, Kyoto
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] Arithmetic topology and profinite rigidity of the multivariable Alexander polynomials of links2024

    • Author(s)
      Jun Ueki
    • Organizer
      Low Dimensional Topology and Number Theory XV, Kyushu
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] On Iwasawa modules of links2023

    • Author(s)
      Jun Ueki
    • Organizer
      東北結び目セミナー, 山形大学
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] p-adic torsions of knots2023

    • Author(s)
      Jun Ueki
    • Organizer
      Geometric group theory and low-dimensional geometry and topology, Agol Lab seminar, ICMAT, Madrid, Spain
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] The Iwasawa Invariants of Zdp-covers of links, Groups around 3-manifolds2023

    • Author(s)
      Jun Ueki
    • Organizer
      CRM, Montreal, Canada
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] 絡み目の多変数 Alexander 多項式の副有限剛性2023

    • Author(s)
      Jun Ueki
    • Organizer
      結び目の数理 VI, 東京女子大学
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] On the linking number of two-component links2023

    • Author(s)
      Jun Ueki
    • Organizer
      拡大 KOOK セミナー, 大阪公立大学
    • Data Source
      KAKENHI-PROJECT-23K12969
  • [Presentation] Recent progress in Iwasawa theory of knots and links2022

    • Author(s)
      Jun Ueki
    • Organizer
      Algebraic and geometric method of analysis (Zoom/Odessa, Ukraina)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Idelic class field theory, Hilbert reciprocity law, and Lang--Trotter's conjecture for 3-manifolds and links2022

    • Author(s)
      Jun Ueki
    • Organizer
      2023 Ewha International Workshop on Algebraic Number Theory (Seoul, Korea)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-acyclic SL2-representations, surgeries, and L-functions of twisted Whitehead links2022

    • Author(s)
      Jun Ueki
    • Organizer
      Low dimensional topology and Number theory XIV, 九州大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Recent progress in Iwasawa theory of knots and links2022

    • Author(s)
      Jun Ueki
    • Organizer
      Intelligence of low dimensional topology 2022, 京都大学 RIMS
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] p-adic torsions, Iwasawa’s nu-invariants, Frobenius trace, and Lang--Trotter's conjecture2022

    • Author(s)
      Jun Ueki
    • Organizer
      Gauge Fields in Arithmetic, Topology & Physics, (ICMS, Bayes Centre, Edinburgh)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] The p-adic limits of class numbers in Zp-towers2022

    • Author(s)
      Jun Ueki
    • Organizer
      北陸結び目セミナー, 金沢大学
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Modular knots obey the Chebotarev law2021

    • Author(s)
      Jun Ueki
    • Organizer
      Algebraic and geometric methods of analysis 2021, Odesa, ウクライナ(Zoom)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Weber’s class number problem for cyclic covers of knots2021

    • Author(s)
      Jun Ueki
    • Organizer
      Branched coverings, Degenerations, and Related topics 2022, 九州大学 (Zoom)
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Von Essen’s theorem for modular knots around the torus knots2021

    • Author(s)
      Jun Ueki
    • Organizer
      冬の力学系研究集会, 九州大学
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-acyclic SL2-representations of the Whitehead link group and the L-function,2021

    • Author(s)
      Jun Ueki
    • Organizer
      広島仙台数論研究集会, 広島大学
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] 巡回終結式, 岩澤不変量, そして副有限剛性2021

    • Author(s)
      Jun Ueki
    • Organizer
      トポロジーとコンピューター, 東京工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Iwasawa theory for knots2021

    • Author(s)
      Jun Ueki
    • Organizer
      Japan Europe number theory exchange seminar (JENTE seminar), Zoom
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-trivial L-functions of twist knots and (3n-1)-th roots of unity2020

    • Author(s)
      Jun Ueki
    • Organizer
      第19回仙台広島整数論集会, 東北大学 (Zoom)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-acyclic SL2-representations of twist knots and non-trivial L-invariants2020

    • Author(s)
      Jun Ueki
    • Organizer
      Algebraic and geometric methods of analysis 2020 (キエフ, ウクライナ; Zoom)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-acyclic SL2-representations of twist knots and non-trivial L-invariants2020

    • Author(s)
      Jun Ueki
    • Organizer
      Algebraic and geometric methods of analysis 2020, Ukraine, Odesa (Zoom)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Twisted Iwasawa invariants of knots2020

    • Author(s)
      Jun Ueki
    • Organizer
      結び目の数理 III, 東京女子大学 (Zoom)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Triangle modular knots around a torus knot and the equidistribution theorem for the refined Rademacher symbol2020

    • Author(s)
      Jun Ueki
    • Organizer
      拡大KOOKセミナー2020, 大阪大学 (Zoom)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Twisted Iwasawa invariants of knots2020

    • Author(s)
      Jun Ueki
    • Organizer
      The 16th East Asia Conference of Geometric Topology, Tokyo University (Zoom)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Modular knots of triangle groups, Rademacher symbols, and 2-cocycles (joint with T.Matsusaka)2020

    • Author(s)
      Jun Ueki
    • Organizer
      MS seminar, Kavli IPMU, Tokyo University (Zoom)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Twisted cyclic resultants and Iwasawa invariants of knots and links2020

    • Author(s)
      Jun Ueki
    • Organizer
      津田塾大学整数論ワークショップ2020, 津田塾大学 (Zoom)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] イデール的類体論の進展 II2020

    • Author(s)
      Jun Ueki
    • Organizer
      九州代数的整数論2021春 (Zoom)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Chebotarev link is stably generic2019

    • Author(s)
      Jun Ueki
    • Organizer
      Morse theory and its applications (キエフ, ウクライナ)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-acyclic SL2-representations of twist knots and (-3)-Dehn surgeries2019

    • Author(s)
      Jun Ueki
    • Organizer
      北陸結び目セミナー(金沢大学)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Profinite rigidity for twisted Alexander polynomials2019

    • Author(s)
      Jun Ueki
    • Organizer
      Summer School on L2-Torsion and Symmetric Spaces Mathematical Institute (ゲッティンゲン, ドイツ)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-acyclic SL2-representations of twist knots2019

    • Author(s)
      Jun Ueki
    • Organizer
      結び目の数理II(日本大学)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Non-acyclic SL2-representations of twist knots and (-3)-Dehn surgeries2019

    • Author(s)
      Jun Ueki
    • Organizer
      The 3rd Pan Pacific International Conference on Topology and Applications (成都, 中国)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Chebotarev link and idelic class field theory2019

    • Author(s)
      Jun Ueki
    • Organizer
      代数的整数論とその周辺(京都大学)
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] 捻じれAlexander多項式の副有限剛性について2019

    • Author(s)
      Jun Ueki
    • Organizer
      第13回福岡数論研究集会(九州大学)
    • Data Source
      KAKENHI-PROJECT-19K14538
  • [Presentation] Profinite rigidity for twisted Alexander invariants2019

    • Author(s)
      Jun Ueki
    • Organizer
      The 15st East Asia Conference of Geometric Topology (京都大学)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14538
  • 1.  松坂 俊輝
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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