Alexandr Grebennikov

Alexandr Grebennikov

Institute of Science and Technology Austria (ISTA) aleksandr.grebennikov[at]ist.ac.at

Hi, I'm Alex!

I am a third-year math PhD student at ISTA in the research group of Matthew Kwan. Before coming to ISTA, I completed my masters at IMPA (Rio de Janeiro).

My research interests include extremal and probabilistic combinatorics as well as its interactions with probability and number theory.

Selected research papers

  1. No-\((k+1)\)-in-line problem for \(k \geqslant 3\) (with Anubhab Ghosal, Ritesh Goenka, Peter Keevash, Matthew Kwan and Huy Tuan Pham)
    Preprint, 2026

  2. No-\((k+1)\)-in-line problem for large constant \(k\) (with Matthew Kwan)
    Bulletin of the London Mathematical Society, 2026 [doi]

  3. Geometric Littlewood-Offord problems via lattice point counting (with Matthew Kwan)
    Preprint, 2025

  4. \(C_{10}\) has positive Turán density in the hypercube (with João Pedro Marciano)
    Journal of Graph Theory, 2025 [doi]

  5. On almost Gallai colourings in complete graphs (with Letícia Mattos and Tibor Szabó)
    Random Structures & Algorithms, 2026 [doi]
    Extended abstract of this paper appeared in the proceedings of EuroComb 2025

Full list of publications (also available on arXiv and Google Scholar)