Pierre Bienvenu
Pierre Bienvenu
- Research Scientist
- Applied Discrete Mathematics and Cryptography
Biographical sketch
- At RICAM since June 2025.
- 2023-2025: postoc at the TU Vienna in the group of Discrete Mathematics and Algorithms.
- 2022-2023: Teaching Fellow at Trinity College Dublin.
- 2021-2022: postdoc at the Technische Universität Graz in Austria, in the Institute of Analysis and Number Theory, belonging to the franco-austrian project Arithrand.
- 2020-2021: postdoc at the Max Planck Institute for Mathematics, Bonn, Germany.
- 2018-2020: MiLyon postdoc at the Institut Camille Jordan (ICJ), Lyon/St-Etienne, France.
- Spring 2018: Lecturer at the American University in Paris.
- 2014-2018: PhD at the University of Bristol, where my PhD supervisor was Julia Wolf. My doctoral thesis, which I defended in June 2018, was entitled "Linear, bilinear and polynomial configurations in function fields and the primes."
Research interests
My research combines analytic, combinatorial, probabilistic and algebraic methods to solve arithmetical problems. It belongs to the area called arithmetic combinatorics, which has intense interactions with number theory, extremal combinatorics, harmonic analysis, ergodic theory, and various topics of theoretical computer science, such as error correcting codes, pseudorandomness etc.
A few keywords:
- Higher order Fourier analysis.
- Configurations of prime numbers, Green-Tao method.
- Finite fields and polynomial rings over them.
- Sum-product estimates.
- Density of sumsets.
Complete list of publications and preprints
- Realisability of simultaneous density constraints for sets of integers.
Journal of Number Theory 281 (2026), 596-614 - Intersective sets for sparse sets of integers (with John T. Griesmer, Anh N. Le and Thái Hoàng Lê).
Ergodic Theory and Dynamical Systems 45 (2025), no. 5, 1370-1402. - On algebraic properties of power monoids of numerical monoids (with Alfred Geroldinger).
Isr. J. Math. 265, 867-900 (2025). - Metric decomposability theorems on sets of integers.
Bulletin of the London Mathematical Society, 55 (2023), no. 6, 2653-2659. - A transference principle for systems of linear equations, and applications to almost twin primes (with Fernando Shao and Joni Teräväinen).
Algebra and Number Theory 17 (2023), No. 2, 497-539. - On additive bases in infinite abelian semigroups (with Benjamin Girard and Thái Hoàng Lê).
Journal of Combinatorial Algebra 7 (2023), no. 1/2, 1-44. - Kneser's theorem in sigma-finite Abelian groups (with François Hennecart).
Canadian Mathematical Bulletin 65 (2022), no. 4, 936-942. - On the density or measure of sets and their sumsets in the integers or the circle (with François Hennecart).
Journal of Number Theory 212 (2020), 285-310. - A note on the Bilinear Bogolyubov Theorem: Transverse and bilinear sets (with Ángel Martínez and Diego González-Sánchez).
Proceedings of the American Mathematical Society 148 (2020), 23-31. - A note on the set A(A+A) (with François Hennecart and Ilya Shkredov).
Moscow Journal of Combinatorics and Number theory 8 (2019), no. 2, 179-188. - Linear and quadratic uniformity of the Möbius function over F_q[t] (with Thái Hoàng Lê).
Mathematika 65 (2019), no. 3, 505-529. - A bilinear Bogolyubov theorem (with Thái Hoàng Lê).
European Journal of Combinatorics 77 (2019), 102-113. - Polynomial equations in function fields.
Oxford Quarterly Journal of Mathematics 68 (2017), no. 4, 1395-1398. - A Higher-Dimensional Siegel-Walfisz theorem.
Acta Arithmetica 179 (2017), no. 1, 79-100. - Asymptotics for some polynomial patterns in the primes.
Proceedings of the Royal Society of Edinburgh Section A 149 (2019), no. 5, 1241-1290.