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Last Updated :2025/04/02

Ludovico Marini

Faculty of Science
Post-doctoral fellow

Researcher information

■ Degree
  • 学士（数学）, Nov. 2016
  • 修士（数学）, Sep. 2019
  • 博士, Apr. 2023
■ Research Keyword
  • Elliptic PDE on Riemannian manifolds
  • Geometric Analysis
■ Field Of Study
  • Natural sciences, Geometry
  • Natural sciences, Mathematical analysis

Career

■ Career
  • Jun. 2023 - Present
    Fukuoka University, Faculty of Science Department of Applied Mathematics, Postdoctoral fellow
■ Educational Background
  • Nov. 2019 - May 2023
    Università degli Studi di Milano-Bicocca, Department of Mathematics and Applications, Ph.D. in Mathematics
  • Dec. 2016 - Sep. 2019
    Università degli Studi di Milano, Department of Mathematics, M.S. in Mathematics
  • Sep. 2013 - Dec. 2016
    Università degli Studi di Milano, Department of Mathematics, B.S. in Mathematics

Research activity information

■ Paper
  • Some Functional Properties on Cartan–Hadamard Manifolds of Very Negative Curvature
    Ludovico Marini; Giona Veronelli
    The Journal of Geometric Analysis, Feb. 2024, 34(4), Refereed
    Corresponding
  • The L∞ -positivity Preserving Property and Stochastic Completeness
    Andrea Bisterzo; Ludovico Marini
    Potential Analysis, 2022, Refereed
    Corresponding
  • The Lp -Calderón–Zygmund inequality on non-compact manifolds of positive curvature
    Ludovico Marini; Giona Veronelli
    Annals of Global Analysis and Geometry, Sep. 2021, 60(2):253 - 267, Refereed
    Corresponding
  • On the geometry of φ-curvatures
    Ludovico Marini; Marco Rigoli
    Journal of Mathematical Analysis and Applications, 15 Mar. 2020, 483(2), Refereed
    Corresponding
■ MISC
  • Global estimates and positivity preservation for some elliptic PDEs on Riemannian manifolds.
    Ludovico Marini
    PhD Thesis, May 2023, Refereed
■ Lectures, oral presentations, etc.
  • Stochastic completeness and positivity preservation of Schrödinger operators
    Markov processes and related topics, 18 Feb. 2024
  • On Cartan-Hadamard manifolds of very negative curvature
    Geodesics and related topics, 05 Jan. 2024
  • Global regularity estimates for the Poisson equation on Riemannian manifolds
    Ludovico Marini
    Nonlinear PDEs and related diffusion phenomena, 25 Aug. 2023
  • Approximation, positivity preservation and stochastic completeness on Riemannian manifolds
    Ludovico Marini
    Geometry and Probability 2023, 09 Aug. 2023
  • Global L^p elliptic estimates and sobolev spaces on Riemannian manifolds
    Ludovico Marini
    Differential Geometry Seminar of Fukuoka University, 20 Jul. 2023
  • Positivity preserving properties of Schrödinger operators on Riemannian manifolds
    Ludovico Marini
    Séminaire: Physique Mathématique - Institut Fourier, Grenoble, 25 Apr. 2022
  • The Calderón–Zygmund inequality on Riemannian manifolds
    Ludovico Marini
    PhD Days - University of Milano, 17 Dec. 2021
  • The L^\infty-positivity preserving property and stochastic completeness
    Ludovico Marini
    Recent Advances in Analysis, PDEs and Applications - Politecnico di Milano, 02 Dec. 2021
  • The Calderón–Zygmund inequality on Riemannian manifolds
    Ludovico Marini
    Insalate di Matematica - University of Milano-Bicocca, 08 Jul. 2021
■ Courses
  • Calculus 1
    20 Oct. 2021
    Università degli Studi di Milano-Bicocca
  • Preparatory course in Mathematics
    20 Aug. 2021
    Università degli Studi di Milano-Bicocca
  • Calculus 1
    20 Oct. 2020
    Università degli Studi di Milano-Bicocca
  • Preparatory course in Mathematics
    20 Sep. 2020
    Università degli Studi di Milano-Bicocca
■ Affiliated academic society
  • 2020 - Present
    GNAMPA group, INdAM (Istituto Nazionale di Alta Matematica)
■ Research Themes
  • Geometric Applications of the ABP method
    GNAMPA group of INdAM (Istituto Nazionale di Alta Matematica)
    2022 - 2023
■ Academic Contribution Activities
  • BiLux 2022
    Planning etc
    University of Milano-Bicocca and University of Luxembourg, 01 Oct. 2022, 04 Oct. 2022
  • Insalate di Matematica
    Planning etc
    University of Milano-Bicocca, 2020, 2022