Past Events

The Fourier transform is a fundamental symmetry of functions on the real line, 

intertwining additive and multiplicative structures. It turns out that this symmetry

is not at all unique to R, and can be defined in the exact same way for functions 

on the p-adic…

When a projective variety is linearly projected onto a projective space of the same dimension, a ramification divisor appears. In joint work with Anand Deopurkar and Eduard Duryev, we study basic questions about the map which sends a projection to its ramification divisor. I will present proven…

We prove that the two-primary subgroups of the class groups of imaginary quadratic fields have the distribution predicted by the Cohen-Lenstra-Gerth heuristic. In this talk, we will detail our method for proving the 8-class rank portion of this theorem and will compare our approach to one that…

We'll ponder a few uncertainty principles, which prevent a function and its Fourier transform from being simultaneously localized. With some complex analytic sorcery, we'll prove a pleasant variant due to Beurling.

 A positive integer d is called a congruent number if there exists a right triangle with rational side lengths whose area is d.  After giving some…

Abstract: In this talk I will discuss and compare two approaches via Fredholm theory to resolvent estimates for the Laplacian of asymptotically conic spaces (such as appropriate metric perturbations of Euclidean space), including in the zero spectral…

In my last talk, I discussed the Gersten spectral sequence for a finite-dimensional Noetherian scheme, starting from the K-theory of its residue fields and converging to its G-theory, and demonstrated an equivariant analogue. This time, we will take it in a different direction and show that one…

The Fisher-KPP equation was proposed in 1937 as a model for the spread of an advantageous gene through a one-dimensional habitat, such as a shoreline. Since then, remarkably precise information on the location of the traveling front has been achieved through a connection with branching Brownian…