Ubiquitous, high-bandwidth Internet and cellular connectivity is no longer a goal, but an expectation for modern-day users. Such connectivity is heavily dependent on infrastructure that is both costly and slow to deploy. As data consumption and demand increase at rates akin to Moore’s Law, traditional infrastructure models begin to break down. In my thesis work, I have studied problems surround...

Algebra

Paul Erdős was a searcher, a searcher for mathematical truth. Paul’s place in the mathematical pantheon will be a matter of strong debate, for in that rarefied atmosphere he had a unique style. The late Ernst Straus said it best in a commemoration of Erdős’s seventieth birthday. In our century, in which mathematics is so strongly dominated by “theory constructors” he has remained the prince of ...