Events and Activities

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...

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...

Note: This talk will involve quantum computing, cryptography, and representation theory, but no background in any of these will be necessary to understand it. I'll introduce everything from the basics.

Aaronson, Atia, and Susskind (2020) established...

Homological stability has emerged over the past decades as an organizing principle in topology and beyond. Broadly speaking, many sequences of moduli spaces exhibit the striking phenomenon that their homology stabilizes as the underlying complexity...

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...

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...