RESEARCH INTERESTS

My research interests and contributions have been in developing ideas, tools, and techniques to tackle families of combinatorial and non-convex optimization problems arising primarily in the information sciences.

The primary focus during the last few years have been on determining extremizers of non-convex optimization problems arising from the study of fundamental open problems in network information theory. We developed a series of techniques, results, inequalities, and capacity regions all motivated by pursuing explicit computations of inner and outer bounds. This work has then led to various ideas relating to sub-additivity and tensorization of functionals, hypercontractive inequalities, etc, more in the realm of mathematics.

During my doctoral and post-doctoral period my research mainly dealt with theoretical issues connected to combinatorial optimization problems in both finite and large systems, primarily motivated by conjectures posed by statistical physicists. Apart from these problems, I have also had brief fancy for a bunch of isolated issues, mostly as a collaborator with some very interesting colleagues.

A summary of my research is available here.

TEACHING

Multiuser information theory (most recent: Spring 2021)
Signals and systems (most recent: Spring 2019)
Probability theory [graduate] (most recent: Fall 2019)
Random Processes [undergraduate/graduate] (most recent: Fall 2016)
Basic circuit theory (most recent: Fall 2007)
Advanced Engineering Mathematics (most recent: Fall 2012)

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