 His research is broadly in the areas of communications, signal processing and control.Among other works, he has shown the h-infinity-optimality of the least mean squares filter, used group-theoretic techniques to design space-time codes and frames and to study entropic vectors, performed information-theoretic studies of various wireless networks (such as determining the capacity of the MIMO wiretap channel), constructed tree codes for interactive communication and control, developed various algorithms and performance analyses for compressed sensing and structured signal recovery, studied epidemic spread in complex networks, and co-invented real-time DNA microarrays.He is the recipient of the 2003 Presidential Early Career Award for Scientists and Engineers (PECASE), the 2003 David and Lucille Packard Fellowship for Science and Engineering, the Okawa Foundation Research Grant in Information Sciences in 2002 and the National Science Foundation Career Award in 2002.