Every man is, more or less, the sport of accident.
--James Fenimore Cooper
One of the select group of twelve Bitchen Mathematicians

Zounds! At last we have photographs!
I'm also a charter member of the Atlas of Lie Groups Project, whose goals are to understand, classify, and catalogue the representations of semisimple real and p-adic Lie groups. A surprising amount of the work we are doing involves challenging combinatorial and computational problems--that's why I'm involved.
I maintain an archive of my recent papers and a publication list.
I also have an archive of other papers (i.e., papers not intended for publication).
Math 566 Students: Look here for the Math 566 Home Page (Winter 2013).
Here's a nifty example that was created with the posets and coxeter packages.
By popular demand, I also have created an archive of Research Data And Other Useful Stuff. To whet your appetite, here's a sample of the cool stuff you can find there:

The hyperplane arrangement corresponding to the root system A3.
The Lighter Side