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.
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. Then, I got interested in Wasserstein metrics as a way to measure the speed of equidistribution in this context, but I had the nice surprise to learn that these metrics could also be useful in the context of prime number races.

Publications and preprints:

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• A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races, with A. Bailleul and M. Hayani. arXiv, submitted.


• Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields, with E. Kowalski. arXiv, HAL, Discrete Analysis (to appear).


• Ultra-short sums of trace functions, with E. Kowalski. arXiv, HAL, Acta Arith.


• Equidistribution of exponential sums indexed by a subgroup of fixed cardinality. arXiv, HAL, Math. Proc. Cambridge Philos. Soc.

Recorded talks:

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• Wasserstein metrics and quantitative equidistribution of some exponential sums, hybrid seminar of the ANR-FNS Equidistribution in Number Theory.


• Equidistribution of some families of short exponential sums, University of British Columbia Number Theory seminar (online).

Other works:

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• My PhD thesis can be found here.


• 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 𝔖_n arise as the Galois group of an extension of ℚ_p? (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.