Version française

Benjamin Girard

Maître de conférences

Institut de Mathématiques de Jussieu - Paris Rive Gauche
Équipe Combinatoire et Optimisation
Sorbonne Université - Campus Pierre et Marie Curie
4, place Jussieu - Boîte courrier 247
75252 Paris Cedex 05
benjamin.girard@imj-prg.fr

Research interests:

Additive combinatorics, Algebraic number theory, Group theory.


My PhD thesis, entitled "On some combinatorial aspects of non-unique factorization theory", was completed in 2008 at the École polytechnique (Paris), under the supervision of Alain Plagne.

Here is my CV.

Publications:

  • On additive bases in infinite abelian semigroups (with Pierre-Yves Bienvenu and Lê Thái Hoàng).
    • J. Comb. Algebra 7 (2023), 1-44. arXiv:2002.03919

  • Higher degree Davenport constants over finite commutative rings (with Yair Caro and John R. Schmitt).
    • Integers 21 (2021), A120. arXiv:2102.06050

  • Inverse zero-sum problems for certain groups of rank three (with Wolfgang A. Schmid).
    • Acta Math. Hungar. 160 (2020), 229-247. arXiv:1809.03178

  • Direct zero-sum problems for certain groups of rank three (with Wolfgang A. Schmid).
    • J. Number Theory 197 (2019), 297-316. arXiv:1806.07636

  • An asymptotically tight bound for the Davenport constant.
    • J. Éc. polytech. Math. 5 (2018), 605-611. arXiv:1709.08033

  • A nullstellensatz for sequences over Fp (with Éric Balandraud).
    • Combinatorica 34 (2014), 657-688. arXiv:1204.0373

  • Subset sums in abelian groups (with Éric Balandraud, Simon Griffiths and Yahya ould Hamidoune).
    • Special volume in honor of Yahya ould Hamidoune, European J. Combin. 34 (2013), 1269-1286. arXiv:1112.1929

  • k-sums in abelian groups (with Simon Griffiths and Yahya ould Hamidoune).
    • Combin. Probab. Comput. 21 (2012), 582-596. arXiv:1110.1961

  • On a combinatorial problem of Erdős, Kleitman and Lemke.
    • Adv. Math. 231 (2012), 1843-1857. arXiv:1010.5042

  • On the existence of zero-sum subsequences of distinct lengths.
    • Rocky Mountain J. Math. 42 (2012), 583-596. arXiv:0903.3458

  • Inverse zero-sum problems in finite Abelian p-groups.
    • Colloq. Math. 120 (2010), 7-21. arXiv:0812.1868

  • A new upper bound for the cross number of finite Abelian groups.
    • Israel J. Math. 172 (2009), 253-278. arXiv:0712.0331

  • Inverse zero-sum problems and algebraic invariants.
    • Acta Arith. 135 (2008), 231-246. arXiv:0806.3676