- Quartic Polynomials With Three Relative Extrema and Two Points of Inflection at Integer Lattice Points (pdf). 1995, revised 1999. My Westinghouse STS project.
- Allowable Sequences and
*k*-sets (pdf). 1999. From my UROP, appeared in MURJ Volume 1. - Chain lengths in the Tamari lattice (pdf), Annals of Combinatorics, Volume 8, No. 1, 2004
- Chain and antichain enumeration in posets, and
b -ary partitions. (pdf). 2004. PhD thesis. Advisor: Richard Stanley. - Slicing Surfaces, w/K. Abbott, Math Horizons, Vol. 19, No. 3, 2012.
- Chain Lengths in the Dominance Lattice (pdf), Discrete Mathematics, 2013.
- Goldbach's Pigeonhole (pdf), The College Mathematics Journal, 2015.
- Character Polynomials and Row Sums of the Symmetric Group (pdf), with K. Baker.
- Chain lengths in the type B Tamari lattice (pdf), with S. Thrash.
- Order Ideals in a Product of Chains, Australasian Journal of Combinatorics Volume 73 (3), 2019.

If you do combinatorics with Maple, you'll want John Stembridge's packages, found here. You can see a few programs I wrote to go along with them here.

I wrote Java applets back before all applets were deemed security risks. Here they are anyway.