I am currently a postdoctoral researcher at the Department of Mathematics and Applied Mathematics, University of

Crete, Greece. My mentor there is Nikos FrantzikinakisLink opens in a new window.

I did my PhD at Warwick Mathematics Institute. I received my PhD on September 2024. My PhD supervisor was Joel MoreiraLink opens in a new window.

From May 2022 until June 2024 I was one of the organizers of the Dynamics and Groups Geometry (DAGGERLink opens in a new window) seminar.

Research Interests: Ergodic theory, topological dynamics and applications of the previous to Ramsey theory and combinatorial number theory. Multiplicative number theory.

Publications/Preprints:

• Multiplicative recurrence for linear patterns, with Dimitrios Charamaras and Konstantinos Tsinas. Work in progress, to appear in the ArXiv soon.
• Infinite unrestricted sumsets in abelian groups, with Dimitrios Charamaras, Ioannis Kousek and Tristán Radić. Work in progress, to appear in the ArXiv soon.
• Finding product sets in some classes of amenable groups, with Dimitrios Charamaras. Submitted, preprint available at https://arxiv.org/abs/2402.07779Link opens in a new window.
• Distinguishing sets of strong recurrence from van der Corput sets. Israel Journal of Mathematics (2024). DOI: https://link.springer.com/article/10.1007/s11856-024-2644-7Link opens in a new window. Available at https://arxiv.org/abs/2203.13804Link opens in a new window.

Talks:

• Finding product sets in some classes of amenable groups, Ergodic Theory and Dynamical Systems Seminar, University of Warwick, April 2024

• Finding product sets in some classes of amenable groups, Dynamical Systems and Analysis Seminar, University of Manchester, April 2024
• Finding product sets in some classes of amenable groups, Junior Analysis and Probability Seminar, University of Warwick, March 2024
• Distinguishing sets of strong recurrence from van der Corput sets, Ergodic Theory and Dynamical Systems Seminar, University of Warwick, May 2023
• Distinguishing sets of strong recurrence from van der Corput sets, Analysis seminar, University of Crete, June 2022

Contact: andreas.mountakis.1@warwick.ac.uk