Past Events

Random fluctuations in environmental conditions (environmental stochasticity) are thought to increase population extinction risk. But as gamblers, politicians, and sports teams know, even bad risks become good risks when you are facing imminent...

Cells constantly reorganize the actin cytoskeleton to break symmetry, align with neighbors, and push their edges forward. There is a lot of quantitative data on these processes, but turning such data into testable mechanistic models remains a...

In this talk, we will discuss several areas of recent work centered around the themes of fairness and foundations in machine learning as well as highlight the challenges in this area. We will discuss recent results involving linear algebraic tools...

The Steenrod algebra acts on ordinary cohomology with coefficients in a finite field, thereby refining the invariant that is cohomology. In this talk, I discuss its formal properties and applications.

Abstract: Recent advances in experimental methodologies and large-scale community efforts have led to an explosion of single-cell genomics and imaging data, creating a need for new analytical frameworks capable of extracting meaningful structure and...

Given a complex Lie group G of adjoint type, the wonderful compactification Y(G) (originally described by work of DeConcini-Procesi) is a compactification of G by a divisor with simple normal crossings. These groups are specified by their Dynkin...

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...

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...

Neurons are often viewed as the fundamental units of computation, yet they are also living cells that must sustain this computation within the physical and metabolic limits of biology. In this talk, I present a quantitative framework for...

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...