Hello

I am currently an associate lecturer (essentially equivalent to a postdoc in Europe/US) in the Department of Mathematics and Statistics at the University of Western Australia. My research interests are in elliptic/parabolic partial differential equations (PDEs), particularly in integro-differential equations. Currently, I am working on projects in nonlocal overdetermined problems, regularity theory for nonlocal elliptic PDE, and the theory of nonlocal minimal surfaces. My PhD supervisors were Enrico Valdinoci (principle supervisor), Serena Dipierro, and Giorgio Poggesi.

Office: G1.11, Mathematics building.
My contact details are availiable at the bottom of the page and on my CV below.

CV

Publications and preprints

Articles and preprints

  • The nonlocal Harnack inequality for antisymmetric functions: an approach via Bochner's relation and harmonic analysis, pdf
    Serena Dipierro, Mateusz Kwaśnicki, Jack Thompson, Enrico Valdinoci
    Submitted, available on arXiv (2024)
  • Density estimates and the fractional Sobolev inequality for sets of zero s-mean curvature, pdf
    Jack Thompson
    Submitted, available on arXiv (2023)
  • Quantitative stability for the nonlocal overdetermined Serrin problem, pdf
    Serena Dipierro, Giorgio Poggesi Jack Thompson, Enrico Valdinoci
    Submitted, available on arXiv (2023)
  • Quantitative stability for overdetermined nonlocal problems with parallel surfaces and investigation of the stability exponents, pdf
    Serena Dipierro, Giorgio Poggesi Jack Thompson, Enrico Valdinoci
    J. Math Pures Appl. 188 (2024), p.273-319
  • Some nonlocal formulas inspired by an identity of James Simon, pdf
    Serena Dipierro, Jack Thompson, Enrico Valdinoci
    Submitted, available on arXiv (2023)
  • On the Harnack inequality for antisymmetric s-harmonic functions, pdf
    Serena Dipierro, Jack Thompson, Enrico Valdinoci
    J. Funct. Anal. 285 (2023), Paper No. 109917, p.49
  • The role of antisymmetric functions in nonlocal equations, pdf
    Serena Dipierro, Giorgio Poggesi, Jack Thompson, Enrico Valdinoci
    Trans. Amer. Math. Soc. 377 (2024), p.1671-1692

Teaching

Here is a complete list of my current and previous teaching:

Course coordinator at the University of Western Australia

  • Semester 2, 2025: MATH1720 Mathematics Fundamentals
  • Semester 2, 2024: MATH1720 Mathematics Fundamentals

Assistant to course coordinator at the University of Western Australia

  • Semester 2, 2022: MATH1012 Mathematical Theory and Methods
  • Semester 1, 2022: MATH1012 Mathematical Theory and Methods

Teaching assistant at the University of Western Australia

  • 2024 Semester 1: MATH1012 Mathematical Theory and Methods (two classes)
  • 2023 Semester 2: MATH1012 Mathematical Theory and Methods
  • 2023 Semester 1: MATH1011 Multivariable Calculus, MATH1013 Mathematical Analysis, MATH1700 Forensic Mathematics
  • 2022 Semester 1: MATH1012 Mathematical Theory and Methods
  • 2021 Semester 2: MATH3032 Topology and Analysis, MATH1012 Mathematical Theory and Methods (two classes)
  • 2021 Semester 1: MATH1011 Multivariable Calculus, MATH1721 Mathematics Foundations: Methods

Teaching assistant at the University of Queensland

  • 2021 Semester 1: MATH2001 Calculus & Linear Algebra II (two online classes)
  • 2020 Semester 2: MATH3405 Differential Geometry, MATH1061 Discrete Mathematics
  • 2020 Semester 1: STAT3004 Probability Models & Stochastic Processes (two classes), STAT2003 Mathemtical Probability, MATH2000 Linear Algebra II
  • 2019 Semester 2: MATH1061 Discrete Mathematics
  • 2019 Semester 1: MATH1071 Advanced Calculus & Linear Algebra