As a univeristy student, I studied pure mathematics. I was fascinated with how basic axioms and definitions could be developed into complex or surprising results. Logic, analysis, and creativity applied to the initial conditions allow new theorems to be proven, which in turn assist in further advancement. Each new theorem is another tool to use when approaching a problem, and every novel proof provides a new technique. When given a challenging problem, it was fun to experiment with those different tools and techniques, trying to find the one that would solve it.