Hello, I am preparing my Ph.
D. at University of Bordeaux 1 (France)
in the laboratory A2X.
I
am working under direction of Profesor Yuri Bilu and my
field of research is additive number theory.
Articles:
2005/09: Sum-sets of small upper density (DVI-PS-PDF)
Acta Arithmetica 119.2 187-200
(2005) This paper deals with the structure of A
when both the upper density of A and A+A are small.
Unpublished papers:
2004/09: Inverse additive results for sets with
small upper asymptotic density (DVI-PS-PDF).
This paper contains some structural results concerning sets A when the
upper density of A and A+A are small. The most precise results
constitue the article Sum-sets of
small upper density.
2003/06: Autour de la conjecture de
Cameron-Erdös (DVI-PS-PDF).
This work was realized under the direction of François Hennecart
to obtain the DEA of University of Bordeaux 1. It contains works of Ben
Green concerning sum-free sets and, more particularly, a proof of the
conjecture of Cameron-Erdös.