University of Calgary

We will give an exposition on the recent progress in the study of unimodal sequences, beginning with the work of Isaac Newton and then to the contemporary papers of June Huh. We will also relate this topic to the Riemann hypothesis. In the process...

A classical theorem of Birch and Merriman states that, for fixed n the set of integral binary n -ic forms with fixed nonzero discriminant breaks into finitely many G L 2 ( Z ) -orbits. In this talk, I’ll present several extensions of this finiteness...

Abstract Artificial intelligence and machine learning are transforming numerous fields—including engineering, business, science, and healthcare—by enabling more accurate, data-driven decision-making. These techniques help us gain deeper insights from...

In this talk, we will share a comparison of how well different search engines find relevant articles, focusing on nautical crimes. The project involved collecting and cleaning data, looking at how many articles each engine retrieved, when those...

In an electric grid, 'phase imbalance' refers to the unequal distribution of electrical loads across the three phases of the grid. This imbalance can lead to inefficiencies, increased power losses, and equipment damage. A helpful analogy is a three...

One of the primary responsibilities of my consulting work is to produce an electricity price forecast for Alberta. In addition to being a product in its own right, the forecast drives significant consulting work in asset valuation, strategy and...

A set { a 1 , a 2 , … , 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. In this talk, I will discuss some recent results related to Diophantine tuples and...

We will talk about Drinfeld modules, and how they compare to elliptic curves for algorithms and computations. Drinfeld modules can be seen as function field analogues of elliptic curves. They were introduced in the 1970's by Vladimir Drinfeld, to...

We will explore how a Fourier optimization framework may be used to study two classical problems in number theory involving Dirichlet characters: The problem of estimating the least character non-residue; and the problem of estimating the least prime...

Twenty-first century mathematics has seen the rise of the proof assistant, and mathematical practice has changed significantly with the rise of these new tools. One consequence of this change, for the philosopher of mathematics, is the wider adoption...