The Mathematical Sciences Postdoctoral Research Fellowships are awards to recent recipients of doctoral degrees. The fellowship is designed to provide 24 months of support divided into 18 academic months and 3 periods of two summer months. The recipient has the option of a Research Instructorship which allows the 18 months of academic support to be taken as 9 months of full-time support and 18 months of half-time support. Mathematical Sciences Postdoctoral Research Fellowship awards allow fellows to choose research environments that will have maximal impact on their future scientific development. Christopher Stover received his doctoral degree from the Massachusetts Institute of Technology, and will pursue research in the area of pure mathematics, specifically, constructing a space with specified homotopy groups and specified action on these groups by the primary homotopy operations, under the guidance of J. Peter May at the University of Chicago.