Jeff Mermin
E-mail:   mermin@math.okstate.edu

This semester, I'm teaching Math 2144 (Calculus I) and Math 5613 (Ph. D. Algebra)

    CV  (November 2008; pdf file)

    Research Summary  (September 2008; pdf file)

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

  1. DG-resolutions via Morse Theory (Draft in preparation) (joint with R. Buchanan and T. Chau).
  2. Which Borel ideals are Gotzmann? (Draft in preparation) (joint with A. Costantini, C. Francisco, J. Schweig).
  3. Resolutions of pinched power ideals (joint with H. Ðào).
  4. Frobenius powers of monomial ideals (joint with C. Francisco, M. Mastroeni, and J. Schweig), Journal of the Illinois Mathematical Society, to appear.
  5. Asymptotic resurgence via integral closures (joint with M. DiPasquale, C. Francisco, and J. Schweig), Transactions of the American Mathematical Society 372 (2019), 6655--6676.
  6. The Rees algebra of a two-Borel ideal is Koszul (joint with M. Dipasquale, C. Francisco, J. Schweig, and G. Sosa), Proceedings of the American Mathematical Society 147 (2019), 467--479.
  7. Free and nonfree multiplicities on the A3 arrangment (joint with M. Dipasquale, C. Francisco, and J. Schweig), Journal of Algebra 544 (2020), 498--532.
  8. LCM lattices supporting pure resolutions (joint with C. Francisco and J. Schweig), Proceedings of the American Mathematical Society 144 (2016), 2315-2325.
  9. Boij-Söderberg and Veronese decompositions (joint with C. Francisco and J. Schweig), Journal of Commutative Algebra 9 (2017), no. 3, 367-386.
  10. Catalan numbers, binary trees, and pointed pseudo-triangulations (joint with C. Francisco and J. Schweig), European Journal of Combinatorics 45 (2015), 85-96
  11. 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).
  12. 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).
  13. Generalizing the Borel property (joint with C. Francisco and J. Schweig), Journal of the London Mathematical Society (2) 87 (2013), no. 3, 724-740.
  14. 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).
  15. Gotzmann squarefree ideals (joint with A. Hoefel), Illinois Journal of Mathematics 56 (2012), no. 2, 397-414.
  16. Borel generators (joint with C. Francisco and J. Schweig), Journal of Algebra 332 (2011), 522-542.
  17. The Eliahou-Kervaire resolution is cellular, Journal of Commutative Algebra 2 (2010), no. 1, 55-78.
  18. Betti numbers of lex ideals over some Macaulay-Lex rings (joint with S. Murai), Journal of Algebraic Combinatorics 31 (2010), no. 2, 299-318.
  19. The Lex-Plus-Powers Conjecture holds for pure powers (joint with S. Murai), Advances in Mathematics 226 (2011), no. 4, 3511-3539.
  20. Compressed ideals, Bulletin of the London Mathematical Society 40 (2008), 77-87.
  21. Monomial regular sequences, Proceedings of the American Mathematical Society 138 (2010), no. 6, 1983--1988.
  22. Ideals containing the squares of the variables (joint with I. Peeva and M. Stillman), Advances in Mathematics 217 (2008), no. 5, 2206-2230.
  23. Lexlike sequences, Journal of Algebra 303 (2006), no. 1, 295-308.
  24. Hilbert functions and lex ideals (joint with I. Peeva), Journal of Algebra 313 (2007), no. 2, 642-656.
  25. Lexifying ideals (joint with I. Peeva), Mathematical Research Letters 13 (2006), no. 2-3, 409-422.
  26. My thesis.

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