Simon Fraser University

The rational points of an abelian variety form a finitely generated group and computing the rank of this group is a hard and central problem in arithmetic geometry. One method, which follows the original proof of Mordell and Weil of the finiteness of...

Skeletal muscle is the motor that drives human and animal movement; however, our understanding of how muscle performs this function is limited because of challenges in directly measuring muscle deformation and force output in living beings. In this...

Partial differential equations (PDEs) on surfaces arise throughout the natural and applied sciences. The solution of such equations poses a big challenge for rather general surfaces, where no parametrization is possible. In this talk, we will give an...

Projection operators are fundamental algorithmic operators in Analysis and Optimization. It is well known that these operators are firmly nonexpansive; however, their composition is generally only averaged and no longer firmly nonexpansive. We will...

A well-known result on compact Riemann surfaces says that the automorphism group of any such surface is a finite group of bounded size (based on the genus of the surface). Additionally, the Riemann-Hurwitz formula gives us an expectation for when a...

A set $\{a_{1}, a_{2},\ldots, a_{m}\}$ of distinct positive integers is a Diophantine $m$-tuple if the product of any two distinct elements in the set is one less than a square. There is a long history and extensive literature on the study of...

The principle of ‘maximum entropy’ states that the probability distribution which best represents the current state of knowledge about a system is the one with largest entropy with respect to a given prior (data) distribution. It was first formulated...

In this talk I will discuss distribution results for traces of Frobenius for various families of elliptic curves with respect to the Lang--Trotter conjecture and extremal primes. These are related to the work of Sha--Shparlinski on the average Lang-...

It is well known that a line can intersect at most 2n-1 cells of the n x n chessboard. What happens in higher dimensions: how many cells of the d-dimensional [0,n]^d box can a hyperplane intersect? We also prove the integer analogue of the following...

Data-driven modeling refers to the use of measurement data to infer the parameters and structure of a mathematical model. Motivated by problems in collective cell biology, this talk will explore algorithms which automate the map from experimental...