Post-doc fellow
Centre of Mathematics for Applications, CMA
University of Oslo, Norway

Mentor: Prof. Ragni Piene
Recruited by SAGA in October 2010

2010: Ph.D. Mathematics
University of "Roma Tre", Italy
Thesis advisor: Prof. Ciro Ciliberto
Thesis title: "Degenerations and applications: polynomial interpolation and secant degree"

2006: M.Sc. Mathematics
University of Trento, Italy

My research interests span:

• Toric degenerations of toric varieties and applications to modeling: toric patches
• Degenerations of algebraic varieties and applications to classical problems as the study of secant varieties of projective toric varieties, in particular study of the k-secant varieties of Segre and Segre-Veronese varieties.
• The polynomial interpolation problem: liner systems of hypersurfaces of P^r of degree d with multiple base points, partial polynomial interpolation in P^r.
• Study of hypersurfaces of P^r by means of apolarity properties: in particular
  comparison between the Jacobian ring and the apolar ring to the Hessian.

Publications and Preprints:

• E. Postinghel: A new proof of the Alexander-Hirschowitz interpolation Theorem, Ann. Mat. Pura Appl.  Vol. 191 (2012), 77-94.
• L. Di Biagio and E. Postinghel: Apolarity, Hessian and Macaulay polynomials, preprint arXiv:1007.4891v1, to appear on the journal "Communications in Algebra".
• E. Postinghel: Secant Degree of Toric Surfaces and Delightful Planar Toric Degenerations, preprint arXiv:1012.2454v1, to appear on the journal "Advances in Geometry".
• A. Laface and E. Postinghel: Secant varieties of Segre-Veronese embeddings of (P^1)^r,. preprint arXiv:1105.2136v1, submitted.
• E.Postinghel, F. Sottile and N. Villamizar: Degenerations of Irrational Toric Varieties, in progress.