Goldbach ’ s Pigeonhole

Edward Early ([email protected]) received his Ph.D. from the Massachusetts Institute of Technology. He is an associate professor of mathematics at St. Edward’s University in Austin, TX. His research is mostly in combinatorics, but he enjoys dabbling in number theory. He also likes spending time with his family and training in martial arts. Patrick Kim ([email protected]) is a senior at Stanford University majoring in materials science and music. His interests lie in multifunctional nanoparticles along with phase-change materials. He is an avid pianist and violinist, spending many hours playing chamber music. In his free time, Patrick enjoys swimming, playing Ultimate, and hungrily watching the Food Network late at night. Michael Proulx ([email protected]) is a senior at Harvard College whose research interests include analytic number theory and low-dimensional topology. Aside from mathematics, Michael enjoys backpacking and mountaineering; he is also a lifelong student of Go.