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EducationPh.D. (2007) Cornell University Research Area: commutative algebra and algebraic geometryMy research so far has been focused on free resolutions of monomial ideals over a polynomial ring S. I studied the polyhedral and cellular resolutions of some classes of Borel fixed ideals over S. Besides, answering some questions that arise from my past work in commutative algebra, I plan to explore more of its applications to algebraic geometry, combinatorics, as well as other branches of mathematics. Lately, I am considering some problems on toric varieties and on resolutions of toric ideals. Selected PublicationsOn Borel fixed ideals generated in one degree (submitted). On special p-Borel ideals (submitted). Last modified: August 14, 2007 |