Name:  Irena Peeva
Address:  Department of Mathematics
Cornell University
Ithaca, NY 14853, U.S.A.
Office: 547 Malott Hall
Phone: +1 (607) 255-4365
E-mail:  irena@math.cornell.edu
Ph.D. Thesis:  Free Resolutions (1995)
Ph.D. Advisor:  D. Eisenbud


RESEARCH INTERESTS: My research interests are in Commutative Algebra, and its connections to Algebraic Geometry, Combinatorics, Computational Algebra, Subspace Arrangements and Noncommutative Algebra. I have worked on problems involving free resolutions, toric varieties, Hilbert schemes, complete intersections, subspace arrangements, monomial resolutions, Gröbner basis, Koszul algebras, shellings, and Castelnuovo-Mumford regularity.

Some of my research is focused on the structure of free resolutions and their applications. I study resolutions over polynomial rings and their quotients. The idea to associate a free resolution to a module was introduced in Hilbert's famous 1890,1893-papers. In essence constructing a free resolution over a ring R consists of repeatedly solving systems of R-linear equations. From another point of view, resolutions provide a homological method for describing the structure of modules.


   
 
conjectures and open problems (pdf)
 
annotated list of selected publications  (html)
 
from my CV  (html)