Publications

• • Gotzmann Squarefree Ideals.
  • (with Mermin, J.)
  • arXiv:1010.3194 (2010).
• • Gotzmann Edge Ideals.
  • To appear in Communications in Algebra. arXiv:0908.1946 (2009).
• • EdgeIdeals: a Macaulay 2 package for (hyper)graphs.
  • (with Francisco, C. and Van Tuyl, A.)
  • Journal of Software for Algebra and Geometry: Macaulay 2 (2009). 1: 1--4.

Thesis

• • Hilbert Functions in Monomial Algebras.
  • Dalhousie University.
  • Ph.D. thesis. In preparation.
• • A Survey of Monomial Ideals.
  • Dalhousie University.
  • M.Sc. thesis (2006).

Talks

• • Permutations and Braids.
  • Nova Scotia Math Circles (2011) (video 462mb streaming).
• • Gotzmann Squarefree Monomial Ideals.
  • (with Mermin, J.)
  • Combinatorial Algebra meets Algebraic Combinatorics (2011).
• • Gotzmann Squarefree Monomial Ideals.
  • (with Mermin, J.)
  • CMS Winter Meeting, Special Session on Commutative Algebra and Combinatorics (2010).
• • Gotzmann Squarefree Monomial Ideals.
  • (with Mermin, J.)
  • AMS Fall Eastern Sectional Meeting, Special Session on Commutative Algebra and Algebraic Geometry (2010).
• • Gotzmann Graphs and Clutters.
  • (with Mermin, J.)
  • East Coast Combinatorics Conference (2010)
• • Gotzmann Edge Ideals.
  • AMS Fall Southeastern Sectional Meeting, Special Session on Graded Resolutions (2009).
• • Betti Numbers and Splittings of Edge Ideals.
  • APICS/AARMS Algebra and Combinatorics Conference (2007).
• • Betti Numbers of Chordal Edge Ideals.
  • COCOA International School on Computer Algebra (2007).
  • Poster.