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J-GLOBAL ID：201401081666770151   Update date: Jan. 21, 2025

Funano Kei

Funano Kei
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Affiliation and department：
Tohoku University Graduate School of Information Sciences Department of System Information Sciences Mathematical System Analysis Mathematical System Analysis I

About Tohoku University Graduate School of Information Sciences Department of System Information Sciences Mathematical System Analysis Mathematical System Analysis I


Job title： Associate Professor
Research field  (1)： Geometry
Research keywords  (5)： 固有値問題 ,  凸幾何学 ,  測度の集中 ,  spectral geometry ,  Geometry of Banach spaces
Research theme for competitive and other funds  (6)：
  • 2017 - 2023 `Nice' partitions and eigenvalues of the Laplacian
  • 2018 - 2022 Geometry of partial differential equations and inverse problems
  • 2017 - 2022 Analysis of elliptic operators and its applications to Geometric Function Theory
  • 2013 - 2017 Applications of the concentration of measure phenomenon to analysis and geometry of Laplacian
  • 2011 - 2012 Geometric application of concentration of measure phenomenon
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Papers (17)：
  • Lorenzo Cavallina, Kei Funano, Antoine Henrot, Antoine Lemenant, Ilaria Lucardesi, Shigeru Sakaguchi. Two extremum problems for Neumann eigenvalues. J. Anal. Math. to appear. 2024
  • Kei Funano. A note on domain monotonicity for the Neumann eigenvalues of the Laplacian. Illinois Journal of Mathematics. 2023. 67. 4. 677-686
  • Kei Funano. A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space. Canadian Mathematical Bulletin. 2023. 67. 1. 222-226
  • Kei Funano, Yohei Sakurai. Upper bounds for higher-order Poincaré constants. Transactions of the American Mathematical Society. 2020. 373. 6. 4415-4436
  • Kei Funano, Yohei Sakurai. Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold. Proceedings of the American Mathematical Society. 2019. 147. 7. 3155-3164
ｍore...
MISC (1)：
  • 船野敬. 「高次元の幾何学」 ~幾何学におけるラムゼー型定理~. 数理科学. 2016. 54. 12. 27-34
Lectures and oral presentations  (23)：
  • ラプラシアンのノイマン固有値の普遍不等式
    (日本数学会秋季総合分科会 2024)
  • Domain monotonicity, its converse, and reverse
    (The Mathematics of Shapes 2024)
  • Some upper bound estimate of eigenvalues of Laplacian on Alexandrov spaces of CD(0,\infty)
    (Seminar with E. Milman 2014)
  • リーマン多様体上のラプラシアンの固有値と多重等周定数について
    (日本数学会春季分科会 2014)
  • Eigenvalues of Laplacian and Multi-way isoperimetric constants on Riemannian manifolds
    (he Ninth Geometry Conference for the friendship between Japan and China 2013)
ｍore...
Professional career (1)：
  • PhD (Tohoku University)
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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