Upcoming Events
I will describe joint work with Frank Swenton resulting in a highly successful but still imperfect method of finding ribbon disks for alternating knots. The mathematical underpinning is Donaldson’s diagonalisation theorem. I will explain and generalise the obstruction this gives…
Abstract : States of matter (such as solid, liquid, etc) are characterized by different types of order associated with local invariances under different transformation groups. Recently, a new notion of topological order, popularized by the 2016 physics nobel prize awarded to Haldane, Kosterlitz…
In this workshop we'll discuss an efficient way for Stanford Math graduate students to communally host teaching resources from past iterations of courses, including but not limited to: section handouts, course notes, problem set sheets, problem set solutions. We'll brainstorm what ways we need…
The inhomogeneous totally asymmetric simple exclusion process (or TASEP) is a Markov chain on the set of permutations, in which adjacent numbers i and j swap places at rate x_i - y_j if the larger number is clockwise of the smaller. Conjecturally, steady state probabilities can be written as a…
Abstract: We will present the precise late-time asymptotics for scalar fields on both extremal and sub-extremal black holes including the full Reissner-Nordstrom family and the subextremal Kerr family. Asymptotics for higher angular modes will be presented for all cases. Applications in…
The growth of random surfaces has attracted a lot of attention in probability theory in the last ten years, especially in the context of the Kardar-Parisi-Zhang (KPZ) equation. Most of the available results are for exactly solvable one-dimensional models. In this talk I will present some recent…
I will talk about a recent series of works with Abramovich and Wlodarczyk, where a logarithmic analogue of the classical resolution of singularities of schemes in characteristic zero is constructed. Already for usual schemes, the logarithmic algorithm is faster and more functorial, though as a…
Abstract: Following Bourgain, Gamburd, and Sarnak, we say that the Markoff equation x^2 + y^2 + z^2 - 3xyz = 0 satisfies strong approximation at a prime p if its integral points surject onto its F_p points. In 2016, Bourgain, Gamburd, and Sarnak were able to establish strong approximation…