My name is Samuel Alexander and I am pursuing a doctorate in mathematics. My dream is to follow a career as a pioneering researcher in pure mathematics. I'm in the final laps of my senior year as an undergraduate at the University of Arizona and this Summer I'll be a graduate student (although I don't yet know where). I was born in Flagstaff, Arizona, but have spent most of my life in San Diego, California and Los Angeles, California. My interest in mathematics was initially inspired by the pretty pictures in Euclid's Elements. I began thinking about the ideas in this paper for some years, but have been officially working on it from Spring of 2005 to Spring of 2006; I am much indebted to Dr. Ksenija Simic for overseeing the research and offering great advice. Send Email

Faculty Sponsor: . Simic, Department of Mathematics, University of Arizona