University of Alberta

Quadratic form theory started as a part of number theory; people were notably interested in representation questions, such as which number of a given field can be written as a sum of a certain number of squares. In the 1930’s, Witt started the...

The Game of Cycles, introduced in my book Mathematics for Human Flourishing, is played on a connected planar graph together with its bounded cells, and players take turns marking edges with arrows according to a sink-source rule that gives the game a...

A revolution has been underway in wave physics in recent years based around concepts of resonance and microstructured media often coupled with periodicity. This has resulted in materials known as metamaterials that have, for instance, negative...

The data association problem is the difficult part of the multi-object tracking problem. The problem is to: (i) classify measurements (e.g., position, shape, etc) as true positives or false positives, ( ii) classify tracked objects as observed (i.e...

Malignant gliomas are highly invasive brain tumors. Recent attention has focused on their capacity for network-driven invasion, whereby mitotic events can be followed by the migration of nuclei along long thin cellular protrusions, termed tumour...

In this talk, I will introduce an SIS patch endemic model with cognitive dispersal. When $\mathcal{R}_0>1$, I give a sufficient condition for the uniqueness of endemic equilibrium. At the unique endemic equilibrium, I prove that the disease...

Cancer is a complex disease with many unknown features. The evolution of tumors greatly depends on the interaction network among different cell types, including immune cells and cancer cells in the tumor. To overcome some of the outstanding...

In this talk I will discuss the genetic structure of populations subject to climate change and undergoing range expansion. The models and analyses are based on reaction diffusion and integrodifference equations for the asymptotic neutral genetic...

The activation of T cells, key players of the immune system, involves local evacuation of molecules (phosphatases) from the nearby region of the cell surface, segregating them from the T cell receptor. What drives this evacuation? This phenomenon...

In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of continuous...