University of Alberta

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...

Drug overdose deaths continue to increase in the United States, reaching a record of more than 100,000 deaths in 2021, driven mostly by fentanyl and methamphetamines. We propose a mathematical framework to describe the neurobiology of drug addiction...

Microplastics pose a severe threat to marine ecosystems; however, relevant mathematical modeling and analysis are lacking. This paper formulates two stoichiometric producer-grazer models to investigate the interactive effects of microplastics...

The question of how roots of polynomials move under differentiation is classical. Contributions to this subject have been made by Gauss, Lucas, Marcel Riesz, Polya and many others. In 2018, Stefan Steinerberger derived formally a PDE that should...