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.
