This award is made as part of the FY 2016 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 Michael Tait is "Extremal Graph Theory and Combinatorial Number Theory." The host institution for the fellowship is Carnegie Mellon University, and the sponsoring scientist is Po-Shen Loh.