Master of Science in Mathematics, Agra University, India, 1981. Master of Philosophy in Mathematics, Agra University, India, 1982. Doctor of Philosophy in Mathematics, Agra University, India, 1985.
Doctor of Philosophy in Computer Science, Louisiana State University, 1993.
Research fellow Council Scientific and Industrial Research, India, 1982-1987. Teaching assistant in computer science department Louisiana State University, 1988-1993. Assistant professor in computer science Southern University, Baton Rouge, since 1993.
Research assistant Robotics Research Laboratory, Louisiana State University, 1993. Research project director National Aeronautics and Space Administration AMES Research Center.
Member Institute of Electrical and Electronics Engineers, Institute of Electrical and Electronics Engineers Computer Society, Association Computing Machinery (reviewer 32d, 33d, 34th Southeast Conference), Society Industrial and Applied Mathematics (session chairman 7th conference on discrete mathematics), Indian Mathematics Society, Upsilon Pi Epsilon.