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