• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Takahashi Junya  高橋 淳也

ORCIDConnect your ORCID iD *help
… Alternative Names

TAKAHASHI Junnya  高橋 淳也

高橋 淳也  タカハシ ジュンヤ

Less
Researcher Number 10361156
Other IDs
Affiliation (Current) 2025: 東北大学, 情報科学研究科, 助教
Affiliation (based on the past Project Information) *help 2012 – 2022: 東北大学, 情報科学研究科, 助教
2009: 東北大学, 情報科学研究科, 助教
2007: Tohoku University, 大学院・情報科学研究科, 助教
2007: 東北大学, 情報科学研究科, 助教
2004 – 2006: 東北大学, 大学院・情報科学研究科, 助手
Review Section/Research Field
Principal Investigator
Geometry
Except Principal Investigator
Basic analysis / Geometry
Keywords
Principal Investigator
微分形式 / 固有値 / ラプラシアン / 小さい固有値 / 幾何学 / 特異点 / リーマン多様体の崩壊 / 固有値の収束 / Riemann多様体の崩壊 / Laplacian … More / スペクトル / 自己共役性 / エッジ特異点 / 消滅定理 / L^2 ストークス定理 / L^2 調和形式 / ホッジ理論 / ベッチ数 / リーマン沈め込み / 非負断面曲率 / 球面 / 体積一定 / 断面曲率 / L2 調和形式 / L2 ストークス定理 / リーマン計量の変形 / ラフ・ラプラシアン / ホッジ・ラプラシアン / 大きい固有値 / ノルムの集中 / 多様体の崩壊 / 交叉コホモロジー群 / スペクトル幾何学 / 調和形式 / リーマン多様体 / コホモロジー群 / 崩壊 / Riemann多様体 / 極限 / 収束 / L^2-解析 / 固有関数 … More
Except Principal Investigator
レヴナー方程式 / ベルトラミ方程式 / シストール / 双曲距離 / ラプラシアン / タイヒミュラー型定理 / 双曲幾何 / モジュラス距離 / モジュラー方程式 / 係数問題 / 擬等角写像 / 調和写像 / リーマン面 / 楕円型作用素 / 非線形レゾルベント / 一様完全 / 擬等角拡張 / 単葉調和函数 / スペクトル / タイヒミュラーの定理 / 平面領域 / モジュラス / 双曲計量 / P-エネルギー / p-エネルギー / 2―調和写像 / 2-調和写像 / リーマン多様体 / 有効抵抗 / ネットワーク / Gromov-Hausdorff収束 / 変分収束 / エネルギー形式 / 測度距離空間 Less
  • Research Projects

    (6 results)
  • Research Products

    (16 results)
  • Co-Researchers

    (14 People)
  •  Analysis of elliptic operators and its applications to Geometric Function Theory

    • Principal Investigator
      Sugawa Toshiyuki
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Studies of geometry of singularities and the eigenvalues of the Hodge-LaplacianPrincipal Investigator

    • Principal Investigator
      Takahashi Junya
    • Project Period (FY)
      2016 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Studies on the limit of the eigenvalues of the Hodge-Laplacian under collapsing of Riemannian manifoldsPrincipal Investigator

    • Principal Investigator
      Takahashi Junya
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Convergence theory of metric measure spaces and its development

    • Principal Investigator
      KASUE Atsushi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  微分形式における小さい固有値の位相的性質の研究Principal Investigator

    • Principal Investigator
      高橋 淳也
    • Project Period (FY)
      2007
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  リーマン多様体の崩壊と微分形式のラプラシアンの固有値の研究Principal Investigator

    • Principal Investigator
      高橋 淳也
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University

All 2022 2018 2016 2015 2012 2006 2005 Other

All Journal Article Presentation

  • [Journal Article] Small eigenvalues of the rough and Hodge Laplacians under fixed volume2022

    • Author(s)
      Colette Ann'e and Junya Takahashi
    • Journal Title

      Annales de la Facult'e des Sciences de Toulouse

      Volume: -

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05117
  • [Journal Article] $L^2$-harmonic forms on incomplete Riemannian manifolds with positive Ricci curvature2018

    • Author(s)
      Junya Takahashi
    • Journal Title

      Mathematics, Special Issue, Differential Geometry

      Volume: 印刷中

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05117
  • [Journal Article] L^2-harmonic forms on incomplete Riemannian manifolds with positive Ricci curvature2018

    • Author(s)
      Junya Takahashi
    • Journal Title

      Mathematics

      Volume: 6 Issue: 5 Pages: 1-11

    • DOI

      10.3390/math6050075

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05117, KAKENHI-PROJECT-17H02847
  • [Journal Article] Partial collapsing and the spectrum of the Hodge-de Rham operator2015

    • Author(s)
      Colette Ann'e and Junya Takahashi
    • Journal Title

      Analysis & PDE

      Volume: 8 Issue: 5 Pages: 1025-1050

    • DOI

      10.2140/apde.2015.8.1025

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24740034
  • [Journal Article] p-spectrum and collapsing of connected sums2012

    • Author(s)
      Colette Ann'e and Junya Takahashi
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 364 Issue: 4 Pages: 1711-1735

    • DOI

      10.1090/s0002-9947-2011-05351-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24740034
  • [Journal Article] Collapsing to Riemannian manifolds with boundary and the convergence of the eigenvalues of the Laplacian2006

    • Author(s)
      Junya Takahashi
    • Journal Title

      Manuscripta Mathematica 121

      Pages: 191-200

    • Data Source
      KAKENHI-PROJECT-16740026
  • [Journal Article] Vanishing of cohomology groups and large eigenvalues of the Laplacian on $p$-forms2005

    • Author(s)
      Junya Takahashi
    • Journal Title

      Mathematische Zeitschrift 250

      Pages: 43-57

    • Data Source
      KAKENHI-PROJECT-16740026
  • [Journal Article] The gap of the eigenvalues for $p$-forms and harmonic $p$-forms of constant length2005

    • Author(s)
      Junya Takahashi
    • Journal Title

      Journal of Geometry and Physics 54

      Pages: 476-484

    • Data Source
      KAKENHI-PROJECT-16740026
  • [Journal Article] Vanishing of cohomology groups and large eigenvalues of the Laplacian on $p$-forms2005

    • Author(s)
      Junya Takahashi
    • Journal Title

      Mathematische Zeitschrift (発表予定)

    • Data Source
      KAKENHI-PROJECT-16740026
  • [Journal Article] The gap of the eigenvalues for $p$-forms and harmonic $p$-forms constant length2005

    • Author(s)
      Junya Takahashi
    • Journal Title

      Journal of Geometry and Physics (発表予定)

    • Data Source
      KAKENHI-PROJECT-16740026
  • [Presentation] 体積一定下での Hodge-Laplacian と rough Laplacian の小さい固有値2022

    • Author(s)
      高橋淳也, Colette Ann'e
    • Organizer
      日本数学会幾何学分科会
    • Data Source
      KAKENHI-PROJECT-16K05117
  • [Presentation] Partial collapsing and the spectrum of the Hodge-Laplacian2016

    • Author(s)
      高橋淳也
    • Organizer
      多様体上の微分方程式
    • Place of Presentation
      金沢大学 サテライト・プラザ(石川県金沢市)
    • Year and Date
      2016-11-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05117
  • [Presentation] Partial collapsing and the spectrum of the Hodge-Laplacian

    • Author(s)
      高橋淳也
    • Organizer
      幾何セミナー
    • Place of Presentation
      東北大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740034
  • [Presentation] Partial collapsing and the spectrum of the Hodge-de Rham operator

    • Author(s)
      高橋淳也
    • Organizer
      Geometry and Probability
    • Place of Presentation
      京都大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740034
  • [Presentation] 一般化された連結和の崩壊と Hodge-Laplacian の固有値の収束

    • Author(s)
      高橋淳也
    • Organizer
      第60回幾何学シンポジウム
    • Place of Presentation
      東京工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740034
  • [Presentation] Partial collapsing and the spectrum of the Hodge-Laplacian

    • Author(s)
      高橋淳也
    • Organizer
      リーマン幾何と幾何解析
    • Place of Presentation
      筑波大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740034
  • 1.  NAYATANI Shin (70222180)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  KATO Shin (10243354)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  KUMURA Hironori (30283336)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  KASUE Atsushi (40152657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  URAKAWA Hajime (50022679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  Sugawa Toshiyuki (30235858)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  志賀 啓成 (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  相川 弘明 (20137889)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  柳原 宏 (30200538)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  船野 敬 (40614144)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  坂口 茂 (50215620)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  松崎 克彦 (80222298)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  菊田 伸 (40736790)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  金城 絵利那 (40746559)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

URL: 

Are you sure that you want to link your ORCID iD to your KAKEN Researcher profile?
* This action can be performed only by the researcher himself/herself who is listed on the KAKEN Researcher’s page. Are you sure that this KAKEN Researcher’s page is your page?

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi