He came to Penn State from the Flight Sciences division of Boeing Commercial Airplanes and Boeing Research and Technology, where he worked for several years as a computational fluid dynamics engineer. Williams received his M.S. and Ph. D. in Aeronautics and Astronautics at Stanford University. He holds a B.S.E. in Aerospace Engineering from the University of Michigan. He has made significant advances in the design of numerical algorithms for computational fluid dynamic simulations. Currently, his research focuses on employing high-order Finite Element schemes to more accurately predict unsteady flows.