Here are the things I've written that I'm not too ashamed to put online.
Hopefully this list will grow.
- Quartic Polynomials With Three Relative Extrema and Two Points of
Inflection at Integer Lattice Points
(pdf). 1995, revised 1999. My Westinghouse STS
project.
- On the Euler Characteristic (ps). 1998.
My phase 2 paper
(expository, no new results).
- Allowable Sequences and k-sets
(pdf). 1999. From my UROP,
appeared in MURJ Volume 1.
- Chain Lengths in the Dominance Lattice (ps).
2002. Presented at FPSAC '03
(slides).
- Chain Lengths in the Dominance Lattice (ps).
2003. Bigger and better version.
- Rank-unimodality and chain lengths of L(n_1,...,n_k).
2003. (contained in thesis)
- Gray paths and structure of b-ary partitions.
(ps). 2003.
- Chain lengths in the Tamari lattice
(
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.
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've recently started writing Java applets. I've included the code in case it
might help someone else learn the language, or in case anyone with more
expertise and free time than I have wants to send me helpful critiques. Hopefully
it won't be too long before I have some more complex and useful programs here.