Ornella Greco's personal webpage
**Ornella Greco**

Research

# Research

I am a Doctor in Mathematics. I have done my doctoral studies at KTH, under the supervision of Mats Boij;
I am interested in Commutative Algebra and Algebraic Combinatorics. So far, I have been working on the
extremal behaviour of Hilbert functions and Betti numbers, and on h-vectors of sets of points in the projective plane.

Lately, I have tried to calculate the Betti numbers of Veronese modules, using a combinatorial approach.

I have also worked on some problems concerning factorization in my master thesis,
supervisioned by Marco D'Anna,
Ralf Fröberg and
Christian Gottlieb.

**Articles and Preprints **

* Syzygies of the Veronese Modules *,
Ornella Greco and Ivan Martino, to appear in Communications in Algebra.
*Green's Hyperplane restriction theorem: an
extension to modules *, Ornella Greco, to appear in Journal of Pure and Applied Algebra.
* The h-vector of the union of
two sets of points in the projective plane*, Ornella Greco, Matey Mateev, Christof Söger,
published in Matematiche (Catania) 67 (2012), no. 1, 197222.
*Factorization of a non-zero polynomial over an
Artinian, local, principal ideal ring*, Ornella Greco, preprint;
*Equivalence of
three different definitions of irreducible element *, Ornella Greco, preprint;

**Other**

*Unique and non unique factorization rings*, master thesis, 2010;
*Basi di Groebner e teoria dell'eliminazione*, bachelor thesis, 2008.