| 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 |
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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.
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