I LOVE Wikipedia! Those two articles are pretty long, but I found part of a paragraph which pretty much sums it up:
While both groups are often thought of as intelligent and creative, nerds are more likely to be drawn into academic pursuits like science and mathematics. Geeks, on the other hand, are often drawn to fields such as music, film, and art. Both groups devote their time to learning, they just learn about different subjects and that changes both the way they present themselves and the way they are viewed by society.