CV  (November 2008; pdf file)

    Research Summary  (September 2008; pdf file)

    Teaching

   PAPERS:
(Paper titles link to the paper as it was submitted; the journals have refereed and otherwise cleaned-up versions.)

1. The Eliahou-Kervaire resolution is cellular.
2. Betti numbers of lex ideals over some Macaulay-Lex rings (joint with S. Murai).
3. The Lex-Plus-Powers Conjecture holds for pure powers (joint with S. Murai).
4. Compressed ideals, Bulletin of the London Mathematical Society 40 (2008), 77-87.
5. Monomial regular sequences, Proceedings of the American Mathematical Society, to appear.
6. Ideals containing the squares of the variables (joint with I. Peeva and M. Stillman), Advances in Mathematics 217 (2008), no. 5, 2206-2230.
7. Lexlike sequences, Journal of Algebra 303 (2006), no. 1, 295-308.
8. Hilbert functions and lex ideals (joint with I. Peeva), Journal of Algebra 313 (2007), no. 2, 642-656.
9. Lexifying ideals (joint with I. Peeva), Mathematical Research Letters 13 (2006), no. 2-3, 409-422.
10. My thesis

The following two papers were written when I was an undergraduate student, as part of the Mathematical Contest in Modeling.
11. Air Traffic Control , (joint with S. Malone and D. Neill), UMAP Journal, 21.3 (2000), 241-256.
12. Alternatives to the Grade Point Average for Ranking Students , (joint with W. G. Mitchener and J. Thacker), UMAP Journal, 19.3 (1998), 279-298.