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, and a recording of a talk I gave at the University of British Columbia Number Theory seminar.
Publications and preprints:
Ultra-short sums of trace functions, with E. Kowalski. arXiv 2023, Acta Arith.
Equidistribution of exponential sums indexed by a subgroup of fixed cardinality. arXiv 2021, Math. Proc. Cambridge Philos. Soc.
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.