Takahashi Junya 高橋淳也

… Alternative Names

Researcher Number	10361156
Other IDs
Affiliation (Current)	2021: 東北大学, 情報科学研究科, 助教
Affiliation (based on the past Project Information) *help	2012 – 2020: 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 Geometry / Basic analysis
Keywords	Principal Investigator 固有値 / 微分形式 / ラプラシアン / Laplacian / Riemann多様体の崩壊 / リーマン多様体の崩壊 / 特異点 / 幾何学 / 小さい固有値 / 固有関数 … More Except Principal Investigator 測度距離空間 / エネルギー形式 / 変分収束 / Gromov-Hausdorff収束 / ネットワーク / 有効抵抗 / リーマン多様体 / 2-調和写像 / 2―調和写像 / p-エネルギー / P-エネルギー / 楕円型作用素 / スペクトル / リーマン面 / 双曲幾何 / 調和写像 / 擬等角写像 / タイヒミュラー型定理 / 一様完全 / 双曲計量 / ラプラシアン / 擬等角拡張 / 双曲距離 / シストール / ベルトラミ方程式 / レヴナー方程式 Less

Analysis of elliptic operators and its applications to Geometric Function TheoryOngoing
- Principal Investigator
  
  須川敏幸
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
特異点の幾何とホッジ・ラプラシアンの固有値の研究Principal InvestigatorOngoing
- Principal Investigator
  
  高橋淳也
- Project Period (FY)
  2016 – 2020
- 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 2018 2016 2015 2012 2006 2005 Other

All Journal Article Presentation

[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 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 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 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] 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. 須川敏幸 (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

Takahashi Junya 高橋 淳也

TAKAHASHI Junnya 高橋 淳也

高橋 淳也 タカハシ ジュンヤ

Research Projects

Research Products

Co-Researchers

Analysis of elliptic operators and its applications to Geometric Function TheoryOngoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

特異点の幾何とホッジ・ラプラシアンの固有値の研究Principal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on the limit of the eigenvalues of the Hodge-Laplacian under collapsing of Riemannian manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Convergence theory of metric measure spaces and its development

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] $L^2$-harmonic forms on incomplete Riemannian manifolds with positive Ricci curvature2018

Author(s)

Journal Title

Data Source

[Journal Article] L^2-harmonic forms on incomplete Riemannian manifolds with positive Ricci curvature2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Partial collapsing and the spectrum of the Hodge-de Rham operator2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] p-spectrum and collapsing of connected sums2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Collapsing to Riemannian manifolds with boundary and the convergence of the eigenvalues of the Laplacian2006

Author(s)

Journal Title

Data Source

[Journal Article] Vanishing of cohomology groups and large eigenvalues of the Laplacian on $p$-forms2005

Author(s)

Journal Title

Data Source

[Journal Article] The gap of the eigenvalues for $p$-forms and harmonic $p$-forms of constant length2005

Author(s)

Journal Title

Data Source

[Journal Article] Vanishing of cohomology groups and large eigenvalues of the Laplacian on $p$-forms2005

Author(s)

Journal Title

Data Source

[Journal Article] The gap of the eigenvalues for $p$-forms and harmonic $p$-forms constant length2005

Author(s)

Journal Title

Takahashi Junya 高橋淳也

TAKAHASHI Junnya 高橋淳也

高橋淳也タカハシジュンヤ