Website of Pierre-Yves Bienvenu


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Who am I?

I am currently a postdoctoral researcher at TU Wien, at the Institute for Discrete mathematics and Geometry. Previous appointments:

More details in my CV.

Area of research

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:

Contact

Institute for Discrete Mathematics and Geometry (E104)
TU Vienna
08-10 Wiedner Hauptstrasse
1040 Wien
Austria

My office there is DA 05 H22.

e-mail : pierre.bienvenu [at] tuwien.ac.at

Publications and preprints

  1. Realisability of simultaneous density constraints for sets of integers.
  2. Intersective sets for sparse sets of integers (with John T. Griesmer, Anh N. Le and Thái Hoàng Lê).
    Published online in Erg. Theory. Dyn. Sys.
  3. On algebraic properties of power monoids of numerical monoids (with Alfred Geroldinger).
    Published online in Isr. J. Math.
  4. Metric decomposability theorems on sets of integers.
    Bulletin of the London Mathematical Society, 55 (2023), no. 6, 2653-2659.
  5. 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.
  6. 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.
  7. Kneser's theorem in sigma-finite Abelian groups (with François Hennecart).
    Canadian Mathematical Bulletin 65 (2022), no. 4, 936-942.
  8. 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.
  9. 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.
  10. 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.
  11. Linear and quadratic uniformity of the Möbius function over F_q[t] (with Thái Hoàng Lê).
    Mathematika 65 (2019), no. 3, 505-529.
  12. A bilinear Bogolyubov theorem (with Thái Hoàng Lê).
    European Journal of Combinatorics 77 (2019), 102-113.
  13. Polynomial equations in function fields.
    Oxford Quarterly Journal of Mathematics 68 (2017), no. 4, 1395-1398.
  14. A Higher-Dimensional Siegel-Walfisz theorem.
    Acta Arithmetica 179 (2017), no. 1, 79-100.
  15. Asymptotics for some polynomial patterns in the primes.
    Proceedings of the Royal Society of Edinburgh Section A 149 (2019), no. 5, 1241-1290.

Teaching at Trinity College Dublin 2022-2023

Previous Teaching Experience