This award is made as part of the FY 2013 Mathematical Sciences Postdoctoral Research Fellowships Program. Each of the fellowships supports a research and training project at a host institution in the mathematical sciences, including applications to other disciplines, under the mentorship of a sponsoring scientist. The title of the project for this fellowship to William Yessen is "Holomorphic Dynamics and Applications in Spectral Theory of Quasiperiodic Operators." The host institution for the fellowship is Rice University, and the sponsoring scientist is Dr. David Damanik.