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Imai Jun  今井 淳

ORCIDConnect your ORCID iD *help
… Alternative Names

今井 淳  イマイ ジュン

IMAI Jun  今井 淳

大原 淳  オオハラ ジユン

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Researcher Number 70221132
Other IDs
Affiliation (Current) 2026: 千葉大学, 大学院理学研究院, 教授
Affiliation (based on the past Project Information) *help 2017 – 2024: 千葉大学, 大学院理学研究院, 教授
2015 – 2016: 千葉大学, 大学院理学研究科, 教授
2015: 千葉大学, 理学(系)研究科(研究院), 教授
2013 – 2014: 首都大学東京, 理工学研究科, 准教授
2011: 首都大学東京, 大学院・理工学研究科・数理情報科学専攻, 准教授 … More
2007 – 2011: Tokyo Metropolitan University, 大学院・理工学研究科, 准教授
2010: 首都大学東京, 理工学研究科, 准教授
2008: Tokyo Metropolitan University, 大学院・理工学研究科数理情報科学専攻, 准教授
2008: 首都大学東京, 理工学研究科, 教授
2006: Tokyo Metropolitan University, Graduate School of Science and Technology, Associate professor, 大学院理工学研究科, 准教授
2006: Tokyo Metropolitan University, 都市教養部理工系, 助教授
2005: 首都大学東京, 都市教養学部理工学系, 助教授
2004: 東京都立大学, 大学院・理学研究科, 助教授
2004: Tokyo Metropolitan University, Dept. of Math., Associate professor, 理学研究科, 教授
2000 – 2004: 東京都立大学, 理学研究科, 助教授
2001: Tokyo Metropolitan Universisty, Associate Professor, 理学(系)研究科(研究院), 助教授
1998 – 2000: 東京都立大学, 大学院・理学研究科, 助教授
1995 – 1996: 東京都立大学, 理学部・数学, 助教授
1994: 東京都立大学, 理学部, 助手
1991 – 1992: 東京都立大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related / Geometry
Except Principal Investigator
Geometry / Geometry / 代数学・幾何学
Keywords
Principal Investigator
エネルギー / ポテンシャル / 留数 / 正則化 / 結び目 / 共形幾何学 / 結び目のエネルギー / リースエネルギー関数 / Rieszエネルギー関数 / マグニチュード … More / インダクタンス / メビウス不変性 / Riesz ポテンシャル / 結び目理論 / 多様体 / 積分幾何学 / Rieszエネルギー / Graham-Wittenエネルギー / 凸領域 / 冪凹性 / コンパクトボディ / Riesz エネルギー関数 / 幾何学 / 部分多様体 / 内在的体積 / 自己インダクタンス / Rieszポテンシャル / ベータ関数 / conformal geometry / energy / knot theory / topology / トポロジー / 国際研究者交流 / 凸幾何学 / ポテンシャル論 / min-max / 最適化 / 幾何 / プログラミング / 美術館問題 / 微分トポロジー / 低次元トポロジー … More
Except Principal Investigator
Uniformization / ゲージ理論 / 調和写像 / knot / エネルギー / 基本群 / CR構造 / Conformal structure / 可積分系の理論 / 結び目理論 / 3次元多様体 / non-reduced degenerations / Dihedral covers / theta-Alexander polynomials / Zariski pairs / Alexander polynomial / Fundamental group / トーラス型 / ミルナー束 / line-退化 / thetaアレクサンダー多項 / 接アレクサンダー多項式 / ヤコビアン予想 / ザリスキー対 / 交点数 / non-reduced degeneration / tangential Alexander多項式 / non-reducedな退化 / Dihedral被覆 / theta-Alexander多項式 / Zariski対 / Alexander多項式 / conformal geometry / energy functional / 非調和比 / メビウス変換 / 共形幾何 / 共形幾何学 / エネルギー汎関数 / 結び目 / Obstruction / Vanishing / Pseudo-conformal auaternionic CR structure / Quaternionic CRstructure / Gemetric structure / Pseudo-conformal auaternionic structure / Einstein metric / psendo-Riemann metric / Integrability / Complex contact structure / Contact form / Sasakian 3-structure / Quaternionic Kahler / Quaternionic CR / flatness / noncompact Lie group action / quaternionic hyperbolic space / Heisenberg CR-structure / Sasakion3-structune / CR-structure / Contact Structure / Quaternionic Kahler structure / 消滅 / 障害類 / 幾何構造 / 共形不変量 / 一意化 / 4元数CR幾何学 / 擬共形4元数CR構造 / 擬共形4元数構造 / A-polynomial / deformation space / volume conjecture / colored Jones polynomial / 変形空間 / 表現空間 / A-多項式 / 変型空間 / 体積予想 / ジョーンズ多項式 / Quaternionic hyperbolic geometry / Parabolic geometry / C-R curvature tenso / Spherical CR Geometry / Developing map / Holonomy group / QCC-structure / 平坦性 / Weylテンサー / 四元教構造 / 接触形式 / 共形変換 / L.C.K.構造 / Parobolic幾何 / 4元数双曲幾何 / C-M曲率テンサー / ホロノミー群 / 展開写像 / spherical CR 幾何 / QCC-strutme / Parabolic Geometry / 4元数Carnot-Caratheodory / Hopf多様体 / 幾何学フロウ / 剛体性 / 局所共形ケーラー多様体 / ワイル共形曲率テンサー / Bochner曲率平坦多様体 / energy / topology / 結び目のエネルギー / 低次元トポロジー / トポロジー / 歴史的挙動 / 歴史挙動 / クライン群 / 双曲多様体 / 遊走領域 / 微分同相群 / 微分同相写像 / diffeomorphism / dynamical systems / 3-manifold / LCR構造 / 非球形空間 / ファイバー空間 / 小畠の定理 / Fefferman-Lorentz structure / Sasaki manifold / Homogeneous manifold / Kaehler structure / LcK structure / Rigidity / Vague conjecture / 変換群 / 因果性 / Parabolic構造 / Lorentz構造 / Fefferman / 可微分剛性 / Seifertファイバー空間 / 可解等質空間 / 微分トポロジー / 微分幾何学 / 幾何学 / モジュライ空間 / ミジュライ空間 / 部分多様体 / 3次元多様体e / リー群論 / フラクス型微分方程式 / ベクトル・バンドル / ゲ-ジ理論 / 低次元トポロジ- Less
  • Research Projects

    (21 results)
  • Research Products

    (95 results)
  • Co-Researchers

    (35 People)
  •  Residues and potetials of manifoldsPrincipal Investigator

    • Principal Investigator
      今井 淳
    • Project Period (FY)
      2023 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Chiba University
  •  Energies and residues of manifoldsPrincipal Investigator

    • Principal Investigator
      O'Hara Jun
    • Project Period (FY)
      2019 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Chiba University
  •  Potentials and energies of compact submanifolds of Eulicidean spacesPrincipal Investigator

    • Principal Investigator
      O'Hara Jun
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Study of diffeomorphisms on geometric 3-manifolds

    • Principal Investigator
      Soma Teruhiko
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Geometric study of potentials and optimal art gallery problemPrincipal Investigator

    • Principal Investigator
      Imai Jun
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Chiba University
      Tokyo Metropolitan University
  •  Conformal geometry of curves and surfaces and geometric knot theoryPrincipal Investigator

    • Principal Investigator
      IMAI Jun
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Geometric structure on geometric manifolds which admit Lie group transformations and various Rigidity

    • Principal Investigator
      KAMISHIMA Yoshinobu
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Conformal geometry and its application to geometric knot theoryPrincipal Investigator

    • Principal Investigator
      IMAI Jun
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Energy of knots and conformal geometryPrincipal Investigator

    • Principal Investigator
      IMAI Jun
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Hypersurface singularity theory from fundamental group

    • Principal Investigator
      OKA Mutsuo
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Science
      Tokyo Metropolitan University
  •  Energy of knots and conformal geometryPrincipal Investigator

    • Principal Investigator
      OHNITA Yoshihiro, 今井 淳
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Invariants On the Geometric Manifolds with Group Actions

    • Principal Investigator
      KAMISHIMA Yoshinobu
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  THE VOLUME CONJECTURE OF KNOTS AND ITS RAMIFICATIONS

    • Principal Investigator
      YOKOTA Yoshiyuki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  On the Weyl conformal invariance on manifolds with various geometric structures and its vanishing of the invariant

    • Principal Investigator
      KAMISHIMA Yoshinobu
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Department of Mathematics, Tokyo Metropolitan University
  •  Energy of knots (existence of energy minimizers and numerical experiment)Principal Investigator

    • Principal Investigator
      KURATA Toshihiko, 今井 淳
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  調和写像のモジュライ空間の研究

    • Principal Investigator
      大仁田 義裕
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  低次元トポロジー、特に、結び目のエネルギーの研究Principal Investigator

    • Principal Investigator
      今井 淳
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  ゲージ理論と3次元多様性

    • Principal Investigator
      吉田 朋好
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  調和写像およびヤン・ミルズ接続の幾何学とその応用

    • Principal Investigator
      大仁田 義裕
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  調和写像およびヤン・ミルズ場の幾何学とその応用

    • Principal Investigator
      OHNITA Yoshihiro
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Metropolitan University
  •  3次元多様体の構造と不変量

    • Principal Investigator
      吉田 朋好
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Metropolitan University

All 2025 2024 2023 2022 2021 2020 2019 2018 2017 2015 2014 2013 2012 2011 2010 2009 2008 2007 2005 2003 Other

All Journal Article Presentation Book

  • [Book] Energy of knots and conformal geometry2003

    • Author(s)
      J.O'Hara
    • Total Pages
      304
    • Publisher
      World Scientific
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540088
  • [Journal Article] Self‐repulsiveness of energies for closed submanifolds2022

    • Author(s)
      O'Hara Jun
    • Journal Title

      Mathematische Nachrichten

      Volume: 296 Issue: 2 Pages: 797-810

    • DOI

      10.1002/mana.202000158

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Journal Article] Uniqueness of centers of nearly spherical bodies2022

    • Author(s)
      O'Hara Jun
    • Journal Title

      Mathematika

      Volume: 68 Issue: 4 Pages: 1268-1291

    • DOI

      10.1112/mtk.12166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Journal Article] Osculating spheres to a family of curves2021

    • Author(s)
      Remi Langevin, Jun O'Hara and Jean-Claude Sifre
    • Journal Title

      Saitama Math. J.

      Volume: 33 Pages: 13-222

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Journal Article] Erratum to Regularized Riesz energies of submanifolds2020

    • Author(s)
      Jun O'Hara and Gil Solanes
    • Journal Title

      Math. Nachr.

      Volume: 293 Issue: 5 Pages: 1014-1019

    • DOI

      10.1002/mana.202000024

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Journal Article] Characterization of balls by generalized Riesz energy2019

    • Author(s)
      Jun O'Hara
    • Journal Title

      Math. Nachr.

      Volume: 292 Issue: 1 Pages: 159-169

    • DOI

      10.1002/mana.201700256

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03462, KAKENHI-PROJECT-16K05136
  • [Journal Article] Regularized Riesz energies of submanifolds2018

    • Author(s)
      Jun O'Hara and Gil Solanes
    • Journal Title

      Mathematische Nachrichten

      Volume: 291 Issue: 8-9 Pages: 1356-1373

    • DOI

      10.1002/mana.201600083

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Journal Article] Triangles with sides in arithmetic progression2017

    • Author(s)
      Kentaro Mikami, Jun O'Hara and Kunio Sugahara
    • Journal Title

      Elem. Math.

      Volume: 72 Issue: 2 Pages: 75-79

    • DOI

      10.4171/em/327

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Journal Article] Möbius invariant energies and average linking with circles2015

    • Author(s)
      Jun O'Hara(今井淳), Gil Solanes
    • Journal Title

      Tohoku Math. Journal

      Volume: 67 Pages: 51-82

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400093
  • [Journal Article] Minimal unfolded regions of a convex hull and parallel bodies2015

    • Author(s)
      Jun O'Hara(今井淳)
    • Journal Title

      Hokkaido Math. Journal

      Volume: 44 Pages: 175-183

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400093
  • [Journal Article] Möbius invariant energies and average linking with circles2015

    • Author(s)
      Jun O'Hara(今井淳), Gil Solanes
    • Journal Title

      Tohoku Math. Journal

      Volume: 67 Issue: 1 Pages: 51-82

    • DOI

      10.2748/tmj/1429549579

    • NAID

      130007961973

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400093, KAKENHI-PROJECT-25610014
  • [Journal Article] Minimal unfolded regions of a convex hull and parallel bodies2015

    • Author(s)
      Jun O'Hara
    • Journal Title

      Hokkaido Math. J.

      Volume: 44 Pages: 175-183

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Journal Article] Measure of a 2-component link2013

    • Author(s)
      Jun O'Hara
    • Journal Title

      Tohoku Math. J.

      Volume: 65 Pages: 427-440

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Journal Article] Application of spaces of subspheres to conformal invariants of curves and canal surfaces2013

    • Author(s)
      Remi Langevin, Jun O'Hara, Shigehiro Sakata
    • Journal Title

      Ann. Polon. Math.

      Volume: 108 Issue: 2 Pages: 109-131

    • DOI

      10.4064/ap108-2-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Journal Article] Isoperimetric characterization of the incenter of a triangle2013

    • Author(s)
      Jun O'Hara
    • Journal Title

      Elem. Math.

      Volume: 68 Issue: 2 Pages: 78-82

    • DOI

      10.4171/em/223

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Journal Article] The configuration space of equilateral and equiangular hexagons2013

    • Author(s)
      Jun O'Hara
    • Journal Title

      Osaka J. Math.

      Volume: 50 Pages: 477-489

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Journal Article] Renormalization of potentials and generalized centers2012

    • Author(s)
      Jun O'Hara
    • Journal Title

      Adv.Appl.Math.

      Volume: 48 Issue: 2 Pages: 365-392

    • DOI

      10.1016/j.aam.2011.09.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Journal Article] Conformal invariance of the writhe of a knot2010

    • Author(s)
      Remi Langevin, Jun O'Hara
    • Journal Title

      J.Knot Theory Ramifications

      Volume: 19 Pages: 1115-1123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Journal Article] Conformal arc-length as 1/2-dmiensional length of the set of osculating circle2010

    • Author(s)
      Remi Langevin, Jun O'Hara
    • Journal Title

      Comm.Math.Helv.

      Volume: 85 Pages: 273-312

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Journal Article] Conformal arc-length as 1/2 dimensional length of the set of osculating circles2010

    • Author(s)
      Remi Langevin, Jun O'Hara
    • Journal Title

      Comm.Math.Helv. 85

      Pages: 273-312

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Journal Article] Conformal dual of a quadruplet of points2008

    • Author(s)
      Jun O'Hara (今井の旧姓)
    • Journal Title

      Far East Journal of Mathematical Education 2

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] Energy of knots and the infinitesimal cross ratio, Proceedings of the Conference Groups2008

    • Author(s)
      今井淳
    • Journal Title

      Homotopy and Configuration Spaces, Geometry and Topology Monographs Vol.13

      Pages: 421-445

    • Data Source
      KAKENHI-PROJECT-20340013
  • [Journal Article] Energy of knots and the infinitesimal cross ratio2008

    • Author(s)
      Jun O'Hara (今井の旧姓)
    • Journal Title

      Proceedings of the Conference“Groups, Homotopy and Configuration Spaces", Geometry and Topology Monographs 13

      Pages: 421-445

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] Energy of knots and theinfinitesimal cross ratio"Groups, Homotopy and Configuration Spaces"2008

    • Author(s)
      J. O'Hara
    • Journal Title

      Geometry and Topology Monographs 13

      Pages: 421-445

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] Conformal dual of a quadruplet of points2008

    • Author(s)
      J. O'Hara
    • Journal Title

      Far East Journal of Mathematical Education 2

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] The configuration space of planar spidery linkages2007

    • Author(s)
      今井淳
    • Journal Title

      Topology Appl. Vol.154

      Pages: 502-526

    • Data Source
      KAKENHI-PROJECT-20340013
  • [Journal Article] A Note on Y-energies of Knots2007

    • Author(s)
      Jun O' Hara (今井の旧姓)
    • Journal Title

      OCAMI Studies 1

      Pages: 85-95

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] The configuration space of a spider, Proceedings of the int ernational conference2007

    • Author(s)
      J. O'Hara
    • Journal Title

      "Intelligence of Low Dimensional Topology 2006" published by World Scientific Publishing Co. in the Knots and Everything Book Series Vol. 40

      Pages: 245-252

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] The configuration space of planar spidery linkages2007

    • Author(s)
      Jun O' Hara (今井の旧姓)
    • Journal Title

      Topology and its Applications 154

      Pages: 502-526

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] The configuration space of planar spidery linkages2007

    • Author(s)
      J.O'Hara
    • Journal Title

      Topology Appl 154

      Pages: 502-526

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540089
  • [Journal Article] The configuration space of planar spidery linkages2007

    • Author(s)
      J. O'Hara
    • Journal Title

      Topology Appl 154

      Pages: 502-526

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] A Note on Y-energies of Knots, OCAMI Studies Vol 1 (1)2007

    • Author(s)
      J. O'Hara
    • Journal Title

      Knot Theory for Scientific Objects, proceedings of the International Workshop on Knot Theory for Scientific Objects

      Pages: 85-95

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] Conformally invariant energies of knots2005

    • Author(s)
      J.O'Hara
    • Journal Title

      J.of the Inst.of Math.Jussieu 4(2)

      Pages: 219-280

    • Data Source
      KAKENHI-PROJECT-15540088
  • [Journal Article] Conformally invariant energies of knots2005

    • Author(s)
      R.Langevin, J.O'Hara
    • Journal Title

      J.Institut Math.Jussieu 4

      Pages: 219-280

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540088
  • [Journal Article] Conformally invariant energies of knots2005

    • Author(s)
      Langevin, R., O'Hara, J.
    • Journal Title

      J. Institut Math. Jussieu 4

      Pages: 219-280

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540088
  • [Journal Article] Energy of knots and conformal geometry2003

    • Author(s)
      O'Hara, J.
    • Journal Title

      Series on Knots and Everything, World Scientific, Singapore Vol.33

      Pages: 304-304

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540088
  • [Journal Article] Conformal arc-length as 1/2 dimensional length of the set of osculating circles to appear in Comm

    • Author(s)
      Remi Langevin and Jun O'Hara
    • Journal Title

      Math. Helv

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Journal Article] The configuration space of equilateral and equiangular hexagons

    • Author(s)
      Jun O'Hara(今井の旧姓)
    • Journal Title

      Osaka J.Math.

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Journal Article] Isoperimetric characterization of the incenter of a triangle

    • Author(s)
      Jun O'Hara
    • Journal Title

      Elemente der Mathematik

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Journal Article] On the Mobius geometry of Euclidean triangles

    • Author(s)
      Udo Hertrich-Jeromin, Alastair King, Jun O'Hara
    • Journal Title

      Elemente der Mathematik

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] マグニチュード関数による有限距離空間の特定2025

    • Author(s)
      今井 淳
    • Organizer
      Magnitude 2024 福岡
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] マグニチュード関数による有限距離空間の特定2025

    • Author(s)
      今井 淳
    • Organizer
      Magnitude 2024 福岡
    • Data Source
      KAKENHI-PROJECT-23K03083
  • [Presentation] 有限距離空間のマグニチュードによる同定2024

    • Author(s)
      今井 淳
    • Organizer
      日本数学会秋季総合分科会 トポロジー分科会
    • Data Source
      KAKENHI-PROJECT-23K03083
  • [Presentation] 有限距離空間のマグニチュードによる同定2024

    • Author(s)
      今井 淳
    • Organizer
      日本数学会秋季総合分科会 トポロジー分科会
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] 多様体の留数と曲率2024

    • Author(s)
      今井 淳
    • Organizer
      日本数学会秋季総合分科会 幾何学分科会
    • Data Source
      KAKENHI-PROJECT-23K03083
  • [Presentation] 多様体の留数と曲率2024

    • Author(s)
      今井 淳
    • Organizer
      日本数学会秋季総合分科会 幾何学分科会
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] Residues of manifolds2023

    • Author(s)
      Jun O'Hara
    • Organizer
      Magnitude 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] Dimensional parity on Mobius invariance of the energies and residues of manifolds2023

    • Author(s)
      Jun O'Hara
    • Organizer
      Differential Geometry with Udo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] Dimensional parity on Mobius invariance of the energies and residues of manifolds2023

    • Author(s)
      Jun O'Hara
    • Organizer
      Differential Geometry with Udo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03083
  • [Presentation] Residues of manifolds2023

    • Author(s)
      Jun O'Hara
    • Organizer
      Magnitude 2023
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03083
  • [Presentation] Open problems in knot energy2022

    • Author(s)
      Jun O'Hara
    • Organizer
      Math-Materials: International & Interdisciplinary Workshop Visualization & Ideal Embeddings of Entangled Structures
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] 多様体の留数2021

    • Author(s)
      今井 淳
    • Organizer
      東京大学複素幾何セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] Mobius invariant metric on the knot space2019

    • Author(s)
      Jun O'Hara
    • Organizer
      Biology, Analysis, Geometry, Energies, Links [bagel19]
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] 多様体の留数とエネルギー2019

    • Author(s)
      今井 淳
    • Organizer
      多様体上の微分方程式
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] Energy of knots in the 3-sphere2019

    • Author(s)
      Jun O'Hara
    • Organizer
      MARS Workshop, Salzburg
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] 多様体の留数とエネルギー2019

    • Author(s)
      今井 淳
    • Organizer
      多様体上の微分方程
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] Mobius invariant metric on the knot space2019

    • Author(s)
      Jun O'Hara
    • Organizer
      Biology, Analysis, Geometry, Energies, Links [bagel19]
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] Energy of knots in the 3-sphere2019

    • Author(s)
      Jun O'Hara
    • Organizer
      MARS Workshop
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03462
  • [Presentation] Regularization of self-inductance2018

    • Author(s)
      Jun O'Hara
    • Organizer
      33rd Summer Conference on Topology and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] 自己インダクタンスの正則化2018

    • Author(s)
      今井 淳
    • Organizer
      日本数学会 秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] Riesz エネルギーの正則化と球体の特徴づけ2017

    • Author(s)
      今井 淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      首都大学東京 (東京都・八王子市)
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] From energy of knots to regularized Riesz energy of submanifolds2017

    • Author(s)
      Jun O'Hara
    • Organizer
      The 12th East Asian School of Knots and Related Topics
    • Place of Presentation
      The University of Tokyo (東京都・目黒区)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Presentation] From energy of knots to regularized Riesz energy of submanifolds2017

    • Author(s)
      Jun O'Hara
    • Organizer
      The 12th East Asian School of Knots and Related Topics
    • Place of Presentation
      東京大学 (東京都・目黒区)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] Characterization of unit balls by Riesz energy2017

    • Author(s)
      Jun O'Hara
    • Organizer
      Convex, discrete and integral geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05136
  • [Presentation] 部分多様体のRiesz エネルギーの正則化2017

    • Author(s)
      今井 淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      首都大学東京 (東京都・八王子市)
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Presentation] Regularization of energies of knots and surfaces2015

    • Author(s)
      Jun O'Hara(今井淳)
    • Organizer
      Geometric energies with links to applications, topology and open problems
    • Place of Presentation
      University of Basel (Basel, Switzerland)
    • Year and Date
      2015-09-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400093
  • [Presentation] Regularization of energies of knots and surfaces2015

    • Author(s)
      Jun O'Hara
    • Organizer
      Geometric energies with links to applications, topology and open problems
    • Place of Presentation
      スイス バーゼル
    • Year and Date
      2015-09-03
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Presentation] Energy of knots, regularization and analytic continuations2015

    • Author(s)
      Jun O'Hara(今井淳)
    • Organizer
      Seminaris Geometria
    • Place of Presentation
      バルセロナ(スペイン)
    • Year and Date
      2015-03-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400093
  • [Presentation] Moebius invariant energies and average linking with circles2014

    • Author(s)
      J. O'Hara
    • Organizer
      A workshop on renormalized energies
    • Place of Presentation
      埼玉大学
    • Year and Date
      2014-07-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Presentation] Three topics in knot energies2013

    • Author(s)
      Jun O'Hara
    • Organizer
      Geometric knot theory
    • Place of Presentation
      MFO オーベルヴォルファッハ(ドイツ)
    • Data Source
      KAKENHI-PROJECT-25610014
  • [Presentation] Mobius invariant energies and average linking with circle2011

    • Author(s)
      Jun O'Hara
    • Organizer
      ESF-EMS-CRM-Pi International Conference on Knots and Links
    • Place of Presentation
      Centra di Ricerca Matematicaピサ(伊)
    • Year and Date
      2011-07-04
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] r-ポテンシャルの繰り込みとdual volume,重心の一般化2011

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-20
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] 平面領域のMobius不変なエネルギー,結び目と円の平均二乗絡み数2011

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-20
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] Renormalization of r^*-potentials and generalized centers2011

    • Author(s)
      Jun O'Hara
    • Organizer
      Differential Geometry and Parametrization of 3D Knots
    • Place of Presentation
      Centro di Ricerca Matematicaピサ(伊)
    • Year and Date
      2011-06-28
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] Energy of knots and related topics2010

    • Author(s)
      Jun O'Hara(今井の旧姓)
    • Organizer
      第2回KOOK-TAPU合同Seminar
    • Place of Presentation
      慶北国立大学、韓国
    • Year and Date
      2010-07-28
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] Slopes of double helices and geometric energies2010

    • Author(s)
      Jun O'Hara
    • Organizer
      Statistical physics and topology of polymers with ramifications to structure and function of DNA and protein
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2010-08-03
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] Conformally invariant energies of knots and links2009

    • Author(s)
      Jun O'Hara(今井の旧姓)
    • Organizer
      Advanced School and Conference on Knot Theory and its Applications to Physics and Biology
    • Place of Presentation
      Trieste, Italy
    • Year and Date
      2009-05-26
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] 光的(零的)曲線の1/2次元的長さについて2009

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] S^2=∂H^3の4点のH^3内の共形的中心2009

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] Introduction to Knot Theory2009

    • Author(s)
      Jun O'Hara (with Javier Arsuaga)
    • Organizer
      DNA Topology Course 2009
    • Place of Presentation
      沖縄
    • Year and Date
      2009-11-03
    • Data Source
      KAKENHI-PROJECT-21540089
  • [Presentation] 等辺等角多角形の配置空間2009

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] Conformal Geometry of curve2008

    • Author(s)
      今井 淳
    • Organizer
      第55回幾何学シンポジウム
    • Place of Presentation
      弘前大学
    • Year and Date
      2008-08-23
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] 4点の共形的双対2008

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] Configuration space of small equilateral and equiangular polygons2008

    • Author(s)
      Jun O'Hara
    • Organizer
      Knots and soft-matter physics, Topology of polymers and related topics in physics, mathematics and biology
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2008-08-29
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] Writheの共形不変性2008

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大
    • Year and Date
      2008-03-23
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] Conformal Geometry of curves2008

    • Author(s)
      今井淳
    • Organizer
      第55回幾何学シンポジウム
    • Place of Presentation
      弘前大学
    • Year and Date
      2008-08-23
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] The conformal arc-length via osculating circles2008

    • Author(s)
      J. O'Hara
    • Organizer
      A.G.T.セミナー
    • Place of Presentation
      ブルゴーニュ大学ブルゴーニュ数学研究所(フランス)
    • Year and Date
      2008-01-17
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] Configuration space of small equilateral and equiangular polygons 、Knots and soft-matter physics2008

    • Author(s)
      J. O'Hara
    • Organizer
      Topology of polymers and related topics in physics, mathematics and biology
    • Place of Presentation
      京都大学
    • Year and Date
      2008-08-29
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] 共形積分幾何学の話2008

    • Author(s)
      今井淳
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] 2成分絡み目の積トーラスの面積2007

    • Author(s)
      今井 淳
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] 結び目を通る円の集合の体積2007

    • Author(s)
      今井淳
    • Organizer
      秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] 2成分絡み目の積トーラスの面積2007

    • Author(s)
      今井淳
    • Organizer
      秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] 曲線の接触円と共形的弧長2007

    • Author(s)
      今井淳
    • Organizer
      秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] Indefinite Grassmannian manifolds and their applications2007

    • Author(s)
      今井淳
    • Organizer
      微分幾何学セミナー
    • Place of Presentation
      首都大学東京
    • Year and Date
      2007-10-19
    • Data Source
      KAKENHI-PROJECT-19540096
  • [Presentation] 部分球面のなす空間とその応用2007

    • Author(s)
      今井淳
    • Organizer
      トポロジー火曜セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2007-10-23
    • Data Source
      KAKENHI-PROJECT-19540096
  • 1.  OHNITA Yoshihiro (90183764)
    # of Collaborated Projects: 8 results
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  • 2.  MARTIN Guest (10295470)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 5 results
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    # of Collaborated Projects: 7 results
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  REMI Langevin
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results

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