Ioannis Kousek
I am a fourth year PhD student under the supervision of Joel Moreira. My main research interest lies in ergodic theory and its interactions with Ramsey theory, additive combinatorics and number theory.
As a student at the University of Crete, I was initiated into ergodic theory by Nikos Frantzikinakis, under the supervision of whom I completed a master's thesis titled 'Khintchine-type multiple recurrence results'.
Research
- Sharp density conditions for infinite B+B sumsets in abelian groups. Submitted. [arXiv]
- A refined structure theorem for polynomial return-time sets in minimal systems. Submitted. [arXiv]
- Uniqueness of a topological Furstenberg system (with Vicente Saavedra-Araya). To appear in the volume ''Perspectives on Ergodic Theory and Its Interactions - In Honor of Vitaly Bergelson". [arXiv]
- On density analogs of Hindman's finite sums theorem (with Felipe Hernandez and Tristan Radic). Submitted. [arXiv]
- Infinite unrestricted sumsets in subsets of abelian groups with large density (with Dimitrios Charamaras, Andreas Mountakis and Tristan Radic). Submitted. [arXiv]
- Asymmetric infinite sumsets in large sets of integers. Forum of Math., Sigma (2026). [DOI]. [arXiv]
- Revisiting sums and products in countable and finite fields. Ergod. Th. & Dynam. Sys. (2025) [DOI]. [arXiv]
- Infinite unrestricted sumsets of the form B+B in sets with large density (with Tristan Radic). Bull. London Math. Soc., 57: 48-68 (2024). [DOI]. [arXiv]
Talks
- July 2026, 3rd congress of Greek mathematicians, Athens, Greece
- May 2026, ETDS seminar, University of Warwick
- December 2025, 19th Panhellenic Conference in Mathematical Analysis, Athens, Greece
- August 2025, Analysis Seminar in Crete, University of Crete
- July 2025, Summer School on Additive Combinatorics, Number Theory and Ergodic theory, EPFL
- January 2025, 15th WOMBL, University of Manchester
- July 2024, 30th British Combinatorial Conference, Queen Mary University of London
- June 2024, DAGGER Seminar, University of Warwick
Writing
- Master's thesis: Khintchine-type multiple recurrence results.
- Probability theory notes: Some notes on probability theory
- A short essay for probability theory: A CLT for reversible Markov chains.
Teaching
- Head Tutor at Warwick's Maths Circle for We Solve Problems.
- Teaching Assistant for Ergodic Theory (23/24 and 24/25) at the University of Warwick
- Teaching Assistant for Norms, Metrics and Topologies (24/25 and 25/26) at the University of Warwick
- Teaching Assistant for Metric Spaces (24/25) at the University of Warwick
- Teaching Assistant for Mathematical Analysis 3 (23/24 and 24/25) at the University of Warwick
Contact