I am most interested in probabilistic combinatorics.
I'm currently working on a probabilistic version of the firefighter problem. I was inspired while attending the Memphis-Budapest Summer School in Combinatorics.
Previous work (at Washington & Lee) includes looking at avoiding a kind of 'arithmetic progression' on permutations. See this and the below publications. This doesn't mean I'm still not thinking about it, sometimes!
Random files which helps me in my thoughts on counting nxn grids, colored black and white, invariant under flips, rotations, and inversions (changing black color to white).
Research stemming from my undergraduate thesis at Washington & Lee University:
Permutations Avoiding Runs of i, i+1, i+2 or i, i-1, i-2
Arithmetic progressions in permutations, published in Congressus Numernatium, Dec 2011: Download here
Students: Your course webpages are below:
I've taught these courses in the Past:
Math 116, Fall 2011
Math 105, Summer 2011
Math 116, Spring 2011
Math 115, Fall 2010
Math 101, Spring 2010