Ornella Greco's personal webpage

Ornella Greco

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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.