Video Lectures

In this lecture, Gareth Evans, Chancellor of the Australian National University and former Foreign Minister of Australia, posits whether it is possible to end, once and for all, genocide and other major crimes against humanity occurring behind...

We provide a derivation of the brownian motion as the hydrodynamic limit of a diluted deterministic system of hard-spheres (in the Boltzmann-Grad limit). We use the linear Boltzmann equation as an intermediate level of description for one tagged...

I will talk about two types of random processes -- the classical Sherrington-Kirkpatrick (SK) model of spin glasses and its diluted version. One of the main goals in these models is to find a formula for the maximum of the process, or the free...

I will talk about two types of random processes -- the classical Sherrington-Kirkpatrick (SK) model of spin glasses and its diluted version. One of the main goals in these models is to find a formula for the maximum of the process, or the free...

The Martians built an amazingly fast computer and they run it to answer the great question of life, the universe and everything. They claim that the answer is 42. Will they be able to convince us that this is the right answer, assuming that we do...

We give two structural results concerning low degree polynomials over the field \(\mathbb{F}_2\). The first states that for any degree d polynomial f in n variables, there exists a subspace of \(\mathbb{F}_2^n\) with dimension \(\Omega(n^{1/(d-1)})\...

Embedded contact homology is an invariant of a contact three-manifold, which is recently shown to be isomorphic to Heegaard Floer homology and Seiberg-Witten Floer homology. However, ECH chain complex depends on the contact form on the manifold and...