Research Interests:
Ergodic theory and topological dynamics, with applications to number theory and combinatorics. Multiplicative number theory.
Publications/Preprints:
Recurrence for pretentious systems along generalized Pythagorean triples, joint work with Nikos Frantzikinakis.
Submitted. ArXiv.
Infinite unrestricted sumsets in subsets of abelian groups with large density, joint work with Dimitrios Charamaras, Ioannis Kousek and Tristán Radić.
Submitted. ArXiv.
On multiplicative recurrence along linear patterns, joint work with Dimitrios Charamaras and Konstantinos Tsinas.
To appear in the Journal of the London Mathematical Society. ArXiv.
Finding product sets in some classes of amenable groups, joint work with Dimitrios Charamaras.
Forum of Mathematics, Sigma (2025). ArXiv.
Distinguishing sets of strong recurrence from van der Corput sets.
Israel Journal of Mathematics (2024). ArXiv.
PhD Thesis:
On three problems in Ergodic Ramsey Theory (2024). [pdf]