What is Combinatorics? Here is one definition, taken from MathWorld.
Combinatorics is the branch of mathematics studying the enumeration, combination, and permutation of sets of elements and the mathematical relations which characterize these properties.
See the Mathematical Atlas for a more thorough description.I am particularly interested in "Algebraic" Combinatorics.
My advisor is Prof. Dennis Stanton. Here is a picture of me with Prof. Stanton (on the left) and Dongsu Kim at FPSAC 2002 in Melbourne, Australia.
(photo taken by Mark Skandera)