Past Events

I will talk about a unification of two bounded height results around abelian varieties. The first is Silverman’s specialization theorem, which states for an abelian scheme A/C with no fixed part over a curve C, that the set of points on C where the...

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to the ORS...

A central question in quantum chaos is how classical chaotic dynamics influence quantum behavior. On compact Riemannian manifolds, pure quantum states correspond to Laplacian eigenfunctions. The quantum unique ergodicity (QUE) conjecture of Rudnick...

Given a connected finite graph $G$, an integer-valued function $f$ on $V(G)$ is called $M$-Lipschitz if the value of $f$ changes by at most $M$ along the edges of $G$. In 2013, Peled, Samotij, and Yehudayoff showed that random $M$-Lipschitz functions...

Let G be a split reductive group. For X a projective G-homogeneous variety, there is a description of the decomposition of the Chow motive of X (Chernousov-Gille-Merkurjev, Brosnan). It is also known that these varieties satisfy the so-called Rost...

Not all quadratic equations admit solutions over the real numbers: You need to adjoin a square root of -1. Quite remarkably, once you do this, then *every* polynomial has a solution. I will explain a sense in which the category Vec_C also does not...

In this talk I'll give an overview of the mathematical side of the last eight years of my career as a software engineer at Google. This splits into two parts: writing software to automate the planning and management of Google's data centers as part...

In this talk, I will describe three projects designed to support students’ development as mathematical thinkers, with a focus on their engagement with mathematics. First, I will discuss the co-creation of ‘Student Perspective’ course materials for...

In this talk, we present two algorithms associated with Tucker tensor format. The first is to obtain the Tucker tensor based on a new cross approximation we developed, called Cross^2-DEIM. This method samples a few fibers (proportionate to the multi...

Let A ∈ M_n be nonnegative, irreducible and E_ii = e_ie_i^T, where e_i is the ith standard basis vector. For a fixed t_0 > 0, an index p ∈ [n] := {1, 2, \ldots, n} is called a winner for the value t_0 if the spectral radius satisfies \rho( A + t_0 E...