Past Events

The periodic orbits and their structure are fundamental features of a dynamical system. In an algebraic setting, where the system is defined by polynomials, we can use tools from algebraic or arithmetic geometry to study these orbits. Important...

The speaker will discuss the Four-Color Theorem and some of the outstanding problems left open after the proof.

Biological systems often give rise to systems of first order ordinary differential equations (ODEs). Linearization then yields a system x' = Ax, where A is the community matrix. By contrast, mechanical systems often give rise to a second order ODE...

Data-driven modeling refers to the use of measurement data to infer the parameters and structure of a mathematical model. Motivated by problems in collective cell biology, this talk will explore algorithms which automate the map from experimental...

In this talk I will discuss distribution results for traces of Frobenius for various families of elliptic curves with respect to the Lang--Trotter conjecture and extremal primes. These are related to the work of Sha--Shparlinski on the average Lang-...

John Milnor's attempt at the higher algebraic K-groups of a field uses the field units as generators and the Steinberg relation as the only relation. The resulting Milnor K-groups map to the higher algebraic K-groups Daniel Quillen defined slightly...

In this talk, we are interested in a general class of multiplicative functions. For a function that belongs to this class, we will relate its “short average” to its “long average”. More precisely, we will compute the variance of such a function over...

Fairness in machine learning classification has been a topic of great interest given the increasing use of such classifiers in critical settings. There are many possible definitions of fairness and many potential sources of unfairness. Given this...

Richard Guy loved problems. He loved to share them and to encourage others to explore them. He loved to work with superstars like John Conway and make their ideas accessible to a wider world. But Richard also had a few problems that he obsessed on in...