Research Interests

My research interests span a wide variety of topics in communication theory and networking, with an emphasis on applying mathematical techniques to the design of network protocols and components. I am especially interested in wireless communications, wireless network protocols, high-speed networking, analyzing the performance of complex networking systems and financial systems.

Some of my recent studies include:

           - Analyzing time-varying wireless channels and their impact on the performance of wireless networks.

          - Analyzing the impacts of error control coding and multi radio diversity on the variability visible at the application layer.

          - Exploring fundamental limitations of the estimation of channel characteristics and the impacts of the estimation performance on the success of network protocols.

           - Developing a framework to use the theory of effective bandwidths to model wireless channels for better resource dimensioning and building more efficient network protocols.

           - Building and experimenting quality aware routing and opportunistic multiple access scheduling algorithms for time-varying wireless networks.

           - Analyzing the impacts of channel variability on the capacity of wireless networks

           - Finding connections between switching theory and coding theory. Using maximum distance separable codes for multistage switch construction.
 
         
           - Providing quality of service over single and multistage packet switches under variable rate and muticast traffic constraints.

           - Analyzing the supportable rates over blocking optical switches using information theoretic methods

           - Analysis of short term fairness of multiple access scheduling protocols

           - Connection level internet traffic modeling

           - Statistical test to detection of denial of service attacks

          - Asset pricing subject to a constraint on a risk metric such as the value at risk (VAR) and its connections to evaluating quality of wireless channels given a higher layer constraint on some performance metrics.