During my PhD, I worked on equidistribution properties concerning families of short exponential sums. Here is a poster that explains a little bit more this area of research. More generally, I am interested in the random-like behaviour of arithmetic objects and I really enjoy learning about connections between number theory and probabilistic / dynamical approaches.

Publications and preprints:

  • Ultra-short sums of trace functions, with E. Kowalski. arXiv 2023, to appear in Acta Arith.

  • Equidistribution of exponential sums indexed by a subgroup of fixed cardinality. arXiv 2021, to appear in Math. Proc. Cambridge Philos. Soc.

  • Other works:

  • My master thesis: Linnik's ergodic method and the distribution of integer points on discrete spheres (supervised by Guillaume Ricotta at the University of Bordeaux).

  • The report of my internship at the end of my first year of master: For which (n, p) can 𝔖n arise as the Galois group of an extension of ℚp? (supervised by Vytautas Paškūnas at the University of Duisburg-Essen).

  • At the end of my bachelor, I did an internship at the University of Liverpool, under the supervision of Vladimir Guletskiĭ. It was an introduction to algebraic geometry. I hope to find the time to rewrite some parts of the report before making it available online.