Video Lectures

I will give an introduction to the microlocal theory of sheaves after Kashiwara and Schapira, and some of its recent applications in symplectic topology. I'll start with the basics, but target applications for the 75 minutes are Tamarkin's proof of...

The "cap set problem" asks for the size of the largest subset $S$ of the vector space $\mathbb F_3^n$ containing no three elements summing to 0. Progress on this problem was slow for many years, until the spring of 2016, when a very short argument...

Let $P:\{0,1\}^k \to \{0,1\}$ be a $k$-ary predicate. A random instance of a constraint satisfaction problem (CSP(P)) where each of the $\Delta n$ constraints is $P$ applied to $k$ literals on $n$ variables chosen at random is unsatisfiable with...