Past Events

In this talk, we study cut-generating functions in the setting of the Gomory-Johnson group relaxations for integer programming. We address an open question: whether every facet (extreme function) for a finite cyclic group relaxation injects into the...

Iteration has revealed mathematical structure for millennia—from ancient Babylonian root-finding techniques to the intricate fractals developed by Fatou and Julia during the First World War. Yet many mysteries remain. One such puzzle centers on...

Toric topology assigns to each simplicial complex K a space with a torus action, called the moment-angle complex, which is defined as a polyhedral product or (homotopy) colimit over the face category of K. These spaces play a universal role in toric...

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...

The Australasian Combinatorics Conference (ACC) is the annual conference of the Combinatorial Mathematics Society of Australasia (CMSA). It covers all areas of combinatorics in mathematics and computer science. It began in 1972, and was previously...

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...

Measure zero sets containing intricate structure are foundational in geometric measure theory. These include Besicovitch sets in the plane (also known as Kakeya sets), which are measure zero sets containing a line in every direction. Closely related...

Are there really primitive tribes whose system of counting goes: “One, Two, Many,...” indicating that from three on it’s a blur? It’s surprising how little progress we’ve made in addressing some basic problems in 3D or beyond, or when solving...

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.