University of Alberta

Understanding the dynamics of cancer cell migration is crucial for developing effective treatment strategies. The "go-or-grow" hypothesis posits a trade-off between proliferation and migration in cancerous cells. In this talk, we present a...

Reactive oxygen species (ROS) often get a bad reputation. They are linked to cancer formation and contribute to aging—not just of the skin but throughout the body. Given these harmful effects, it might come as a surprise that living organisms...

In this talk, we will discuss several inequalities in convex geometry inspired by sumset estimates in additive combinatorics and inequalities in information theory. We begin by investigating sharp constants in convex geometry analogues of Plünnecke...

The existence and the number of solutions of a system of polynomial equations in n variables over an algebraically closed field is a classical topic in algebraic geometry. Much less is known about the existence of solutions of a system of polynomial...

In this talk, we consider reaction-diffusion and patch epidemic models with mass action or standard incidence mechanism and study the impact of limiting population movement on disease transmissions. We set either the dispersal rate of the susceptible...

The tensor category of vertex operator algebras arises from two dimensional conformal field theories and has many applications such as representation theory, topological quantum field theory and quantum computations. A major problem of tensor...

It is conjectured that there are infinitely many rational curves on every projective K3 surface. A large part of this conjecture was proved by Jun Li and Christian Liedtke, based on the characteristic p reduction method proposed by Bogomolov-Hassett...

Highly evolved animals continuously update their knowledge of social factors, refining movement decisions based on both historical and real-time observations. Despite its significance, research on the underlying mechanisms remains limited. In this...

This talk will cover the existence of a third solution through the Mountain Pass Lemma when the boundary data of the problem decreases below a threshold value. Meanwhile, an evolutionary perspective of the stability-instability of a solution of the...

We study a simple SIS epidemic model accounting for human behaviour. Individuals can decide at each instant of time whether or not they adopt prophylactic (hereafter protection) measures such as mask wearing or social distancing. These measures...