Mathematics and Engineering
Department of Mathematics and Statistics
Research groups: Communications and Information Theory, Mathematics and Engineering (Applied Mathematics)
My primary research interests belong to the general area of information theory and communications. More specifically, I am interested in the coding of information-bearing signals for transmission over noisy communication networks. This problem is addressed at two levels. One objective is to understand and investigate the Shannon theoretic aspect of this problem -- i.e., to determine the fundamental limits of how efficiently one can encode information and still be able to recover it with negligible loss. Another vital objective is to develop effective coding techniques and algorithms for achieving reliable data transmission over wireless networks.
More recently, I have developed an interest in information bottleneck problems, data privacy and the use of information-theoretic methods in machine learning, in particular, generative-adversarial networks and AI fairness. I also have a long-standing interest in probability problems and their applications, including random processes with reinforcement, contagion models and generalized Polya urns, stochastic modeling and analysis of network epidemics, game theory, opinion dynamics and effective bounds for the probability of a union of events under partial information.
Event Organizations and Committees
Math. & Eng. Communications and Information Theory Group