Past Events

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...

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...

Cooperative motion is a random walk process where the jump rate of a particle depends on the likelihood that another independent identical walker is at the same position. It was studied on the line in a paper by Addario-Berry, Cairns, Devroye...

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...

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...

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...

Form is function. Just as Darwin’s finches have beaks adapted to their ecological niche, so too has cell morphology adapted to the cell’s function and its local microenvironment. Consequently, cell shape changes are prominently used as phenotypic...

Suppose we have unlabeled data where we believe there is an unknown, latent branching (or tree-like) structure. Can we infer that structure? This type of unsupervised learning problem arises in a wide range of biological applications, including in...

Infectious disease transmission models are used to inform public health policies and gain a better understanding of disease dynamics. For them to accomplish these goals effectively it is important that models accurately represent the mechanisms that...

I will discuss the following question independently posed by Clark and Saltman around 2007: Given a central simple algebra A over a field K, is there a a genus 1 curve X over K such that A is split by the function field K(X)? Federico Scavia and I...