Sonja Petrović Ph.D. candidate- May 2008, Mathematics Department University of Kentucky I will be moving to UIC in the fall! Office: Math House, 2nd floor, 417 Columbia Ave. (Map) Phone: (859) 257-2461 Email: petrovic@ms.uky.edu Mailing Address: 719 Patterson Office Tower University of Kentucky Lexington, KY 40506

RESEARCH INTERESTS:
My current research focuses on commutative algebra, its combinatorial and computational aspects, and its interactions with statistics and biology. I am interested in projective varieties, algebraic properties and the combinatorial invariants (Hilbert series, Grobner fans) of their coordinate rings and defining ideals.
Specifically, I am interested in toric ideals of some well-studied varieties (rational normal scrolls), various toric ideals that can be associated to a graph (cut ideals, Ferrers ideals), and toric ideals arising in algebraic statistics (phylogenetics, hierarchical models).

My advisor is Uwe Nagel.

CV:
Here you can find my curriculum vitae, last updated October 2007.

IN THE NEWS:
SIAM News July/August 2007 issue:
"Algebraic Geometers See Ideal Approach to Biology"
See the article here (pdf file) or search for the issue at the SIAM News website.


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