This autumn, I will be enrolled as a freshmen for my first semester at a large, public research university. Despite still being in high school, I feel that I am almost as prepared as ever to make contrabutions to mathematics and physics (Specificially, my main interest is the application of symplectic geometry to quantum mechanics. I have other interests such as quantum computing, ergodic theory, Bohmian mechanics, and mathematical music theory.)

However, I know very little about,...