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J-GLOBAL ID:201401081666770151   Update date: Mar. 03, 2024

Funano Kei

Funano Kei
Affiliation and department:
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 (16):
  • 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
  • Hannah Alpert, Kei Funano. MACROSCOPIC SCALAR CURVATURE AND AREAS OF CYCLES. GEOMETRIC AND FUNCTIONAL ANALYSIS. 2017. 27. 4. 727-743
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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  (21):
  • 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)
  • Concentration, separation, and eigenvalues of Laplacian
    (Connections for women on the concentration of measure phenomenon 2013)
  • ラプラシアンの固有値の間の数値的普遍不等式について
    (リーマン幾何学と幾何解析 2013)
more...
Professional career (1):
  • PhD (Tohoku University)
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