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J-GLOBAL ID:201201089971318702   Update date: Jul. 28, 2024

Takahashi Junya

タカハシ ジュンヤ | Takahashi Junya
Affiliation and department:
Job title: Assistant Professor
Homepage URL  (2): https://www.math.is.tohoku.ac.jp/~junya/https://www.math.is.tohoku.ac.jp/~junya/index.html
Research field  (1): Geometry
Research keywords  (7): harmonic forms ,  L^2 Stokes theorem ,  elliptic boundary value problem ,  collapsing of Riemannian manifolds ,  differential forms ,  eigenvalues ,  Hodge-Laplacian
Research theme for competitive and other funds  (7):
  • 2017 - 2022 Analysis of elliptic operators and its applications to Geometric Function Theory
  • 2016 - 2021 特異点の幾何とホッジ・ラプラシアンの固有値の研究
  • 2012 - 2016 多様体の崩壊に対するホッジ・ラプラシアンの固有値の極限の研究
  • 2007 - 2009 Convergence theory of metric measure spaces and its development
  • 2007 - 2008 微分形式における小さい固有値の位相的性質の研究
Show all
Papers (13):
Lectures and oral presentations  (47):
  • Small eigenvalues of the Hodge-Laplacian with sectional curvature bouded below
    (2024)
  • Small eigenvalues of the Hodge-Laplacian with sectional curvature bouded below
    (Global Analysis and Geometry 2023 at Osaka, Osaka Metropolitan Univ. 2023)
  • Small eigenvalues of the Hodge-Laplacian with sectional curvature bouded below
    (2023)
  • Small eigenvalues of the rough and Hodge Laplacians under fixed volume
    (Geometry and Analysis Seminar -- Mini Workshop 2023, Tohoku Univ. 2023)
  • Small eigenvalues of the rough and Hodge Laplacians under fixed volume
    (2022)
more...
Professional career (1):
  • 博士(数理科学) (The University of Tokyo)
Association Membership(s) (1):
Mathematical Society of Japan
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