Nuclear Energy Leadership Act This bill amends the Energy Policy Act of 2005 to direct the Department of Energy (DOE) to (1) establish a long-term nuclear power purchase agreement pilot program; (2) advance the research and development of domestic advanced, affordable, and clean nuclear energy; (3) develop a 10-year strategic plan for its Office of Nuclear Energy; (4) provide for a versatile, reactor-based fast neutron source; and (5) establish a program to make available high-assay, low-enriched uranium for use in commercial or noncommercial advanced nuclear reactors. DOE, the National Nuclear Security Administration, and the Nuclear Regulatory Commission must jointly establish a University Nuclear Leadership Program to provide financial assistance for scholarships, fellowships, and research and development projects at institutions of higher education.