Upcoming Events

Abstract TBA

We present the patching method, a machinery developed by Harbater–Hartmann–Krashen and various other authors, dedicated to the study of arithmetics of linear algebraic groups over function fields of curves over complete discretely valued field such...

Dietary assessment is crucial for understanding the relationship between diet and health. Yet traditional recall-based methods for tracking diet often face challenges like participant compliance and accurate recall. To address these issues, our lab...

Given a compact set E ⊂ R^d , its distance set is ∆(E) = { |x − y| : x, y ∈ E }, and for y ∈ E, the pinned distance set of E at y is ∆ y (E) = { |x − y| : x ∈ E }. A classical result of Mattila and Sjölin shows that the unpinned distance set ∆(E) has...

The analysis of why a specific MIP instance is infeasible formally can be reduced to computing an Irreducible Infeasible Subset (IIS) of the constraints. Unlike the case of LP, for MIP there is no useful duality that can be employed to facilitate...

As an academic mathematician with a few decades of experience working with industry, the speaker has encountered many challenging problems that required the knowledge and development of a diverse collection of mathematical tools to effectively meet...

Drinfeld modules are the analogues of elliptic curves in positive characteristic. They are essential objects in number theory for studying function fields. They do not have points, in the traditional sense�we're going to count them anyway! The first...

Abstract TBA

Falconer-type problems seek Hausdorff-dimension thresholds guaranteeing that thin subsets of R d contain rich geometric patterns. For a compact set E ⊂ R d , the classical object is the distance set ∆(E) = { |x − y| : x, y ∈ E }, and its pinned...

In this talk we will address the relatively new objects quaternary Legendre pairs. These objects (and their binary counterparts) were introduced in order to construct Hadamard matrices and have garnered renewed interest recently. Over the course of...