Previous Conferences & Workshops

I'll discuss our attempts to model problems of bio molecular assembly using simple geometric constructions. We contrast how nature makes polyhedra with classical constructions. The issue that really bothers me is this: biomolecular codes are...

In 2011 Bourgain and Rudnick showed that if $\gamma$ is a curve of non-vanishing curvature on the 2d standard flat torus, then there are no Laplace eigenfunctions of arbitrarily large eigenvalues containing $\gamma$ in their nodal set. We show that...

We discuss recent results on distribution of orbits of horocycle flows at subquadratic polynomial times (joint work with M. Radziwill) and at the prime counting function $\Omega$ (joint work with K. Loyd)

I will prove Gromov's conjecture that every 3-manifold of positive scalar curvature contains a short closed geodesic. The proof uses Min-Max theory of minimal surfaces and a combinatorial version of mean curvature flow. Time permitting, I will...

Over the past 50 years, cryptographers have constructed a number of surprising and important primitives like public-key encryption, which allows strangers to communicate privately even if eavesdroppers hear everything they say. However, there are...

The main goal of this talk is to state a conjectural formula for the compactly supported cohomology of  $\Gamma$ \ $G$ / $K$ when $G$ is a semisimple real group with maximal compact $K$, and $\Gamma$ is a congruence subgroup. The formula gives a...

I will describe an application of point-counting on tame real sets and functional transcendence to a problem in harmonic analysis. I will touch on the traditional diophantine applications of these ideas to highlight the new features of this not-so...