University of Lethbridge

The purpose of the Alberta Mathematics Dialogue is two-fold. In the one hand it promotes mathematical research across universities in the Province of Alberta and on the other hand it serves as a forum for discussing issues related to mathematical...

Let A denote the algebra of all linear operators on a complex vector space V—mostly finite-dimensional for the purposes of this talk. Let G be an irreducible group or semigroup contained in A. (This means that there is no subspace of V other than {0}...

The classical problem of Diophantine equations is to solve polynomial equations over the rationals. More generally, we may consider solutions over an extension of the rationals. If the equations define an elliptic curve (or more generally, an Abelian...

Let A denote the algebra of all linear operators on a complex vector space V—mostly finite-dimensional for the purposes of this talk. Let G be an irreducible group or semigroup contained in A. (This means that there is no subspace of V other than {0}...

The classical problem of Diophantine equations is to solve polynomial equations over the rationals. More generally, we may consider solutions over an extension of the rationals. If the equations define an elliptic curve (or more generally, an Abelian...

In this talk, we will highlight the importance of measurement, and discuss what can and cannot be measured. Focusing on the measurement of position, importance, and shape, we will illustrate by discussing the mathematics behind GPS, Google and laser...

A number $n$ is called squarefull if for every prime $p$ dividing $n$, we have $p^2$ also dividing $n$. Erdos conjectured that the number of pairs of consecutive squarefull numbers $(n, n+1)$ with $n N$ is at most $(log N)^A$ for some $A >0$. This...

Let $a \in \mathbb{Z} \setminus \{0,\pm 1\}$, and let $f_{a}(p)$ denote the order of $a$ modulo $p$, where $p \nmid a$ is prime. There are many results that suggest $p - 1$ and $f_{a}(p)$ are close. For example, Artin's conjecture and Hooley's...

A transversal of a latin square of order n is a subset of entries picked in such a way that each row, each column and each symbol is present at most once. In many latin squares, you can find a full transversal by selecting n entries which do not...

Please bring your favourite (math) problems. Anyone with a problem to share will be given about 5 minutes to present it. We will also choose most of the speakers for the rest of the semester.