I am a PhD student at UT Austin working under Robert Gompf, which means I am interested in things like open books, Lefschetz pencils, and broken Lefschetz fibrations. I mainly care about smooth and symplectic 4-manifolds. Here I am in deepest contemplation. Vita, Research statement M 305G - Preparation for Calculus University of Texas at Austin - Math Department jwilliam at math.utexas.edu