Video Lectures

We explicitly construct an extractor for two independent sources on $n$ bits, each with min-entropy at least $\log^C n$ for a large enough constant $C$. Our extractor outputs one bit and has error $n^{-\Omega(1)}$. The best previous extractor, by...

Starting from the Poisson summation formula, I discuss spectral summation formulae on GL(2) and GL(3) and present a variety of applications to automorphic forms, analytic number theory, and arithmetic.

As Chief Scientist at Dstillery, Claudia Perlich works to collect about 10 billion user events daily, representing the digital and geo-physical journeys of millions of people on desktops, tablets, and mobile phones. In this lecture, Perlich will...

In this lecture, Tegmark surveys how humans have repeatedly underestimated not only the size of the cosmos, but also the power of the human mind to understand it using mathematical equations. He explores how mathematics in physics has allowed us to...