Research output per year
Research output per year
Personal profile
Biography
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.
I completed my PhD at the University of Western Australia in 2024, and my supervisors were Enrico Valdinoci (principle supervisor), Serena Dipierro, and Giorgio Poggesi. I also completed a Bachelor of Mathematics (Honours) at the Univeristy of Queensland in 2020.
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Collaborations and top research areas from the last five years
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The nonlocal Harnack inequality for antisymmetric solutions: an approach via Bochner’s relation and harmonic analysis
Dipierro, S., Kwaśnicki, M., Thompson, J. & Valdinoci, E., 2025, In: Communications in Partial Differential Equations. 50, 8, p. 1074-1098 25 p.Research output: Contribution to journal › Article › peer-review
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Quantitative stability for overdetermined nonlocal problems with parallel surfaces and investigation of the stability exponents
Dipierro, S., Poggesi, G., Thompson, J. & Valdinoci, E., Aug 2024, In: Journal des Mathematiques Pures et Appliquees. 188, p. 273-319 47 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Web of Science) -
Stability results for nonlocal Serrin-type problems, antisymmetric Harnack inequalities, and geometric estimates
Thompson, J., 2024Research output: Thesis › Doctoral Thesis
File84 Downloads (Pure) -
The role of antisymmetric functions in nonlocal equations
Dipierro, S., Poggesi, G., Thompson, J. & Valdinoci, E., Mar 2024, In: Transactions of the American Mathematical Society. 377, 3, p. 1671-1692 22 p.Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus)23 Downloads (Pure) -
On the Harnack inequality for antisymmetric s-harmonic functions
Dipierro, S., Thompson, J. & Valdinoci, E., 1 Jul 2023, In: Journal of Functional Analysis. 285, 1, 109917.Research output: Contribution to journal › Article › peer-review
4 Citations (Web of Science)