Previous Conferences & Workshops

For each central charge $c\in (0,1]$, we construct a conformally invariant field which is a measurable function of the local time field $\mathcal{L}$ of the Brownian loop soup with intensity $c$ and i.i.d. signs given to each cluster. This field is...

The behavior of quadratic twists of modular L-functions is at the critical point is related both to coefficients of half integer weight modular forms and data on elliptic curves.  Here we describe a proof of an asymptotic for the second moment of...

In dimension two, Urs Lang and Mario Bonk proved that a surface, homeomorphic to the plane, is bi-Lipschitz to the Euclidean space if its total Gauss curvature is smaller than that of the hemisphere. In this talk, I will explain what is known in...

I will talk about three interesting ingredients that goes into the results on H\"{o}rmander type operators I presented at Princeton (joint with Shaoming Guo and Hong Wang). They are all related to algebraic or geometric properties of multivariate...

A fractal uncertainty principle (FUP) states that a function `f' and its Fourier transform cannot both be large on a fractal set. These were recently introduced by Semyon Dyatlov and collaborators in order to prove new results in quantum chaos. So...

The ruled hypersurfaces are distinguished by being comprised of lines. When this characteristic exists as a consequence of vanishing principal curvatures, it yields possibilities for comparison with cylinders extending over lower-dimensional...

A conjecture of Erdős states that for every large enough prime q, every reduced residue class modulo q is the product of two primes less than q. I will discuss my on-going work with Kaisa Matomäki establishing among other things a ternary variant of...