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Ioannis Kousek

I am a third year PhD student under the supervision of Joel Moreira. I am mainly interested in ergodic theory and its interactions with Ramsey theory, additive combinatorics and number theory.

Research

  • Infinite unrestricted sumsets in subsets of abelian groups with large density (with Dimitrios Charamaras, Andreas Mountakis and Tristan Radic) [In preparation]
  • Asymmetric infinite sumsets in large sets of integers (2025). [arXiv]
  • Revisiting sums and products in countable and finite fields (2024). [arXiv]
  • Infinite unrestricted sumsets of the form B+B in sets with large density (with Tristan Radic) (2024). Bull. London Math. Soc., 57: 48-68. [DOI]. [arXiv]