· Researcher, California Institute of Technology (Caltech) Center for the Mathematics of Information (CMI)2024–
· Allen E. Puckett Professor and Professor of Electrical Engineering, Emeritus, California Institute of Technology (Caltech)2007–2019
· Professor of Electrical Engineering, California Institute of Technology (Caltech)1982–2007
· Professor of Mathematics and Research Professor, University of Illinois, Urbana-Champaign1978–1982
· Ph.D. in Mathematics, California Institute of Technology (Caltech)1967–
· Bachelor of Science in Mathematics, California Institute of Technology (Caltech)1964–
· Graduate Study, University of Cambridge, Trinity College1964–1965
· Researcher, Jet Propulsion Laboratory (JPL)1963–1978