Jeff Mermin

This semester, I'm teaching Math 2153 (Calculus II) and Math 4663 (Combinatorics)

    CV  (November 2008; pdf file)

    Research Summary  (September 2008; pdf file)

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

  1. Boij-Söderberg and Veronese decompositions (Joint with C. Francisco and J. Schweig).
  2. Catalan numbers, binary trees, and pointed pseudo-triangulations (Joint with C. Francisco and J. Schweig).
  3. A survey of Stanley-Reisner theory (Joint with C. Francisco and J. Schweig), in Connections between Algebra, Combinatorics, and Geometry (S. Cooper and S. Sather-Wagstaff, eds.), Springer, New York, 2014 (Pages 209-234).
  4. Powers of squarefree monomial ideals and combinatorics (joint with C. Francisco and T. Hà), in Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (I. Peeva, ed.), Springer, New York, 2013 (Pages 373-392).
  5. Generalizing the Borel property (joint with C. Francisco and J. Schweig), Journal of the London Mathematical Society (2) 87 (2013), no. 3, 724-740.
  6. Three simplicial resolutions, in Progress in commutative algebra 1 (C. Francisco, L. Klingler, S. Sather-Wagstaff, J. Vassilev, eds.) de Gruyter, Berlin, 2012 (Pages 127-141).
  7. Gotzmann squarefree ideals (joint with A. Hoefel), Illinois Journal of Mathematics 56 (2012), no. 2, 397-414.
  8. Borel generators (joint with C. Francisco and J. Schweig), Journal of Algebra 332 (2011), 522-542.
  9. The Eliahou-Kervaire resolution is cellular, Journal of Commutative Algebra 2 (2010), no. 1, 55-78.
  10. Betti numbers of lex ideals over some Macaulay-Lex rings (joint with S. Murai), Journal of Algebraic Combinatorics 31 (2010), no. 2, 299-318.
  11. The Lex-Plus-Powers Conjecture holds for pure powers (joint with S. Murai), Advances in Mathematics 226 (2011), no. 4, 3511-3539.
  12. Compressed ideals, Bulletin of the London Mathematical Society 40 (2008), 77-87.
  13. Monomial regular sequences, Proceedings of the American Mathematical Society 138 (2010), no. 6, 1983--1988.
  14. Ideals containing the squares of the variables (joint with I. Peeva and M. Stillman), Advances in Mathematics 217 (2008), no. 5, 2206-2230.
  15. Lexlike sequences, Journal of Algebra 303 (2006), no. 1, 295-308.
  16. Hilbert functions and lex ideals (joint with I. Peeva), Journal of Algebra 313 (2007), no. 2, 642-656.
  17. Lexifying ideals (joint with I. Peeva), Mathematical Research Letters 13 (2006), no. 2-3, 409-422.
  18. My thesis.

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