He earned his B.A. summa cum laude from Hillsdale College and his J.D. summa cum laude from Notre Dame Law School, where he was a note editor on the Notre Dame Law Review. Professor Muller's research and writing focus on election law, particularly federalism and the role of states in the administration of elections. His work has appeared in the Alabama Law Review, Arizona Law Review, Indiana Law Journal, Arizona State Law Journal, Florida State University Law Review, Harvard Journal of Law & Public Policy, Fordham Law Review, and the peer-reviewed Election Law Journal.