Past Events

Not all quadratic equations admit solutions over the real numbers: You need to adjoin a square root of -1. Quite remarkably, once you do this, then *every* polynomial has a solution. I will explain a sense in which the category Vec_C also does not...

In this talk, I will describe three projects designed to support students’ development as mathematical thinkers, with a focus on their engagement with mathematics. First, I will discuss the co-creation of ‘Student Perspective’ course materials for...

Random walks or diffusions with Dirichlet boundary condition (killing at the boundary) admit a Perron-Frobenius eigenfunction (the unique positive normalized eigenfunction when the domain is bounded). Starting with gambler's ruin problems, we discuss...

The first regularity results for maps optimizing an open class of cost were proved by Ma-Trudinger-Wang (2005) using a key inequality which they introduced (based on a classical strategy of Pogorelov). Away from the boundary, this inequality controls...

12:30 - 1:30 PM: Lunch/Coffee/Tea/Snacks 1:30 - 1:35: Opening Remarks 1:35 - 1:50: Jonathan Hermon A simple characterization of the effective resistance metric on vertex transitive graphs The effective resistance satisfies the triangle inequality and...

There are many synergies between probability theory and convex geometry, especially in high-dimensional settings. We discuss some classical examples and then focus on a recent development concerning a famous theorem of von Neumann, which establishes...

A set $A\subset\mathbb{Z}$ tiles the integers by translations if there is a set $T\subset\mathbb{Z}$ such that every integer $n\in\mathbb{Z}$ has a unique representation $n=a+t$ with $a\in A$ and $t\in T$. It is well known that the translation set in...

Abstract: A new frontier for the modeling and analysis of reaction-diffusion PDE systems is where the diffusing species are nonlinearly coupled through dynamic interactions on the domain boundaries. Some specific examples of such systems, including...

A classical problem in signal recovery is to determine whether a finite signal can be recovered from its Fourier transform with missing values. This problem has been studied by many authors starting with the seminal papers by Matolsci and Szuks in...

The UBC Mathematics-Biology research group is delighted to host four distinguished speakers from South Africa as part of the University Staff Doctoral Program: Building Capacity in Applied Mathematics (USDP-BCAM). This international collaboration...