CV  (June 2008; pdf file)

    Research Summary  (Fall 2006; 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 Lex-Plus-Powers Conjecture holds for pure powers (joint with S. Murai).
2. Compressed ideals, Bulletin of the London Mathematical Society 40 (2008), 77-87.
3. Monomial regular sequences.
4. Ideals containing the squares of the variables (joint with I. Peeva and M. Stillman), Advances in Mathematics 217 (2008), no. 5, 2206-2230.
5. Lexlike sequences, Journal of Algebra 303 (2006), no. 1, 295-308.
6. Hilbert functions and lex ideals (joint with I. Peeva), Journal of Algebra 313 (2007), no. 2, 642-656.
7. Lexifying ideals (joint with I. Peeva), Mathematical Research Letters 13 (2006), no. 2-3, 409-422.
8. My thesis

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