University of Alberta

The basis of protein localization to membraneless compartments within cells has been a longstanding question that is increasingly thought to reflect biological phase separation, but other strategies may exist. To this end, the presentation will show...

On a few examples, such as the permanent of a matrix, (partition function for a system of bosons), matching polynomial of a graph (partition function in a monomer-dimer system), and the independence polynomial of a graph (partition function in the...

Many natural and social phenomena involve individual agents coming together to create group dynamics, whether the agents are drivers in a traffic jam, cells in a developing tissue, or locusts in a swarm. Here I will focus on the specific example of...

Tulips have captivated human interest for centuries, with their vibrant colors and unique shapes. Particularly striped tulips have been highly popular, leading to the “tulipomania” in the Dutch Golden Age. But how do the tulips get their stripes...

The moduli space of Higgs bundles on a complex algebraic curve — an object that originates from Yang-Mills theory in theoretical physics, but which now lies at the interface of algebraic geometry and geometric representation theory — is perhaps best...

Dynamical systems are inevitably subject to noise perturbations, making the study of the stability issues under noise perturbations a fundamental problem. Often used to characterize the complexity of dynamical behaviours, invariant measures...

Cells must reliably coordinate responses to noisy external stimuli for proper functionality. In this talk I will present a perspective on this important problem via extreme statistics. The central premise is that when a single stochastic process...

Given a convex solid in 3D space, how many light sources do we have to place around it in order to illuminate its entire surface? What is the minimum number that works? We call this number the illumination number of the solid, and perhaps a bit...

A hybrid asymptotic-numerical approach is developed to study hotspot patterns for a three-component 1-D reaction-diffusion (RD) system that models urban crime with police intervention. Our analysis is focused on a scaling regime where there are two...

We study a single-period optimal transport problem with a cost function given by a general bilinear form and a backward martingale constraint. The role of Kantorovich potentials is played by Fitzpatrick functions. The dual problem is a pseudo...