Mathematicians find new solutions to an ancient puzzle
eurekalert.org
eurekalert.org
And partially as a result, Noam ended up one of the youngest ever tenured professors at Harvard (at the age of 26).
I met Noam when hanging out with guys from the Harvard Glee Club, which Noam accompanies on piano. Reading Noam's CV (http://www.math.harvard.edu/~elkies/math_cv.html) was one of the most humbling experiences I've ever had.
ie: http://en.wikipedia.org/wiki/Road_coloring_conjecture
was just recently solved.
But often I learn something by allowing myself to play "just a little..."