Past Events

I will describe some connections between arithmetic geometry of abelian varieties, non-archimedean/tropical geometry, and combinatorics. For a principally polarized abelian variety, we show an identity relating the Faltings height and the Néron--Tate...

In this talk, I will introduce the restricted Euler and hypodissipative Navier-Stokes equations. These equations are analogous to the Euler and hypodissipative Navier-Stokes equations, respectively, but with the Helmholtz projection replaced by a...

The topic of this talk is on Blackbox optimization (BBO), the study of applications, attributes, and solutions of optimization problems in which the values of one or more of the functions defining the problem are provided through blackboxes. The Mesh...

We will discuss conjectures and results regarding the Hilbert Property, a generalization of Hilbert's irreducibility theorem to arbitrary algebraic varieties. In particular, we will explain how to use conic fibrations to prove the Hilbert Property...

Turán-type problems for hypergraphs have been an intriguing area of research. Despite significant efforts, the Turán density of F is known for only a few three-uniform hypergraphs F. This talk concerns Turán-type problems for 3-uniform tight cycles C...

An orthogonal array with parameters \((N,n,q,t)\) (\(OA(N,n,q,t)\) for short) is an \(N\times n\) matrix with entries from the alphabet \(\{1,2,...,q\}\) such that in any of its \(t\) columns, all possible row vectors of length \(t\) occur equally...

A basic aim of homological algebra is to establish invariants for various algebraic objects. This is achieved by constructing resolutions for these objects. These resolutions can be intractable, however for quadratic algebras one obtains a simpler...

A conjecture of Erdős, Graham, Montgomery, Rothschild, Spencer and Straus states that, with the exception of equilateral triangles, any two-coloring of the plane will have a monochromatic congruent copy of every three-point configuration. In this...

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...

Davies's efficient covering theorem states that we can cover any measurable set in the plane by lines without increasing the total measure. This result has a dual formulation, known as Falconer's digital sundial theorem, which states that we can...