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EducationPh.D. (1994) Brandeis University Research Area: Combinatorics and commutative algebraMy research interests are in Combinatorics and Commutative Algebra. I have written papers on complete intersections, Hilbert functions, f-vectors, h-vectors, symmetric functions, toric rings, monomial ideals, Bruhat order, log-concave and unimodal sequences and polynomials with real zeros.Selected PublicationsComplete intersection dimension (with L. Avramov and I. Peeva), Publications Mathématiques IHES 86 (1997), 67114. Hilbert functions and homogeneous generic forms II, Compositio Math. 116 (1999), 167172. Rationality for generic toric rings (with I. Peeva and V. Welker), Math. Z. 233 (2000), 93–102. Sufficiency of Lakshmibai-Sandhya singularity conditions for Schubert varieties, Compositio Math. 126 (2001), 4756. Resolutions of a-stable ideals (with T. Hibi and I. Peeva), J. Algebra 254 (2002), 375–394. Last modified: October 31, 2006 |