Peter McNamara

Dinkum Publications

  • P. J. McNamara, Factorial Grothendieck Polynomials, The Electronic Journal of Combinatorics, 13 (2006), R71.
    This approximately constitutes my honours thesis (University of Sydney 2005). .

    The Rest

    Questions that I don't know the answer to.

  • On the Work Performed by the Transformation Semigroup $O_n$ PDF. Submitted to the Proceedings of the Workshop on Semigroups.
    This is a proof of a binomial coefficient identity.
  • Zorn's Lemma is true! Seriously, as if a product of non-empty sets could be non-empty.
  • Van der Corput's Lemma. A (nontrivial) application of the Cauchy-Schwartz inequality. (apologies for the poor latexese, I'll improve it if I have time).
  • A power series identity. This is a proof I came up with what I consider to be the first non-trivial power series identity.

    Links:
    Herbert Wilf's home page, from which generatingfunctionology can be downloaded.
    Programs, of which I've used gosper.m as a tool for proving hypergeometric summation identities.
    J.S. Milne's site, lots of notes here.