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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) 2025: 千葉大学, 大学院理学研究院, 教授
Affiliation (based on the past Project Information) *help 2017 – 2023: 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 / マグニチュード / インダクタンス … More / 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 / 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

    (89 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
      今井 淳
    • 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 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] 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
    # of Collaborated Products: 0 results
  • 2.  MARTIN Guest (10295470)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 5 results
  • 3.  OKA Mutsuo (40011697)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  KAMISHIMA Yoshinobu (10125304)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  YOKOTA Yoshiyuki (40240197)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  荻上 紘一 (10087025)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  SOMA Teruhiko (50154688)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  吉田 朋好 (60055324)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  AKAHO Manabu (30332935)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  笹倉 頌夫 (20087026)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  KAMIYA Shigeyasu (80122381)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  AHARA Kazushi (80247147)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  佐々井 崇雄 (00094269)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  井関 裕靖 (90244409)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  今野 宏 (20254138)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  HASEGAWA Keizo (00208480)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  SAKAI Takashi (30381445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  HAMADA TATSUYOSHI (90299537)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  KURATA Toshihiko (40311899)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  DEGUCHI Tetsuo (70227544)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  NAKAMULA Ken (80110849)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  OHSHIKA Kenichi (70183225)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  FUJIWARA Kouji (60229078)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KOJIMA Sadayoshi (90117705)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  TERAO Hiroaki (90119058)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  TOKUNAGA Hiroo (30211395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  SHIMADA Ichiro (10235616)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  佐藤 好久 (90231349)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  寺杣 友秀 (50192654)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  前田 定広 (40181581)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  諏訪 立雄 (40109418)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  真田 克典 (50196292)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  LANGEVIN Remi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 34.  SOLANES Gil
    # 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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