Previous Conferences & Workshops

We will give a hopefully light hearted introduction to the behavior of some geometrically motivated equations, mostly in the context of examples and broad discussion of Einstein manifolds (though our story has counterparts in many areas). A theme...

Every o-minimal structure determines a collection of "tame" or "definable" subsets of $bbR^n$. We can then ask about the fragment of complex geometry present in the structure: Which holomorphic functions are definable, and which spaces are cut out...

We present solutions to two problems on indefinite integral ternary quadratic forms. The first, highlighted by Margulis in 1990, concerns the distribution of the ternary Markoff spectrum associated with minima of forms. The second, initiated by...

Berger and Coburn conjectured that a Toeplitz operator on Bargmann--Fock space is bounded if and only if the heat transform of its symbol at time $t=1/4$ is bounded, the borderline time singled out by the Weyl calculus under the Bargmann transform...

In the theory of error-correcting codes, list decoding allows a decoder to output a list of candidates when attempting to remove noise from a corrupted input. The constructions and algorithms for such list decodable codes has had numerous...

I will report on joint work in progress with Tim Browning and Ritabrata Munshi, concerning the use of the circle method to count rational points on a particular cubic hypersurface in six variables. This problem lies at the square-root barrier, and I...

In this talk I will introduce a bi-\bar{Q}-structure on Shimura varieties, propose a hyperbolic analytic subspace conjecture (analogue of Wüstholz’s analytic subgroup theorem in this context), and explain its consequence on quadratic relations...