University of Calgary

Linkage analysis maps genes for a heritable trait by identifying genomic regions with excess relatedness among individuals with similar trait values.Analysis may be conducted in families, or in unrelated individuals from a population. Here, we focus...

The Eilenberg-Zilber (EZ) theorem is a powerful tool in homological algebra and algebraic topology, being a key ingredient in the Kunneth theorem. It also serves as the basis for defining the cup product, which in turn establishes cohomology as a...

Given two isomorphic groups G and H, one may identify representations of H with representations of G along some fixed isomorphism from G to H. However, this process of identifying representations depends crucially on the isomorphism of groups one...

The goal of my talk is to sketch out an easy to follow, diagrammatic proof of the above statement.

In this talk, I will exposit some of the main ideas and results of the seminal 2017 paper “The pebbling comonad in finite model theory” by Samson Abramsky, Anuj Dawar, and Pengming Wang. In this paper, the authors demonstrate that pebble games, which...

I will provide a (very basic) tutorial on the Curry-Howard correspondence between proofs (in natural deduction) and terms in the typed λ-calculus. No prior knowledge of either will be presupposed.

Moses Schonfinkel invented “combinatory logic” — aka combinatory algebra (CA ) — in 1920. It consisted of a binary operation and two constants S and K (called combinators by Haskell Curry who further investigated CAs in the 1950s) which satisfy just...

In this talk, I will summarize the research on enriched algebraic theories, monads, and varieties that I produced with Rory Lucyshyn-Wright during my previous postdoctoral fellowship at Brandon University. I will start by providing a historical...

Imagery in M.C. Escher's graphic works not only makes obvious use of geometry, but often provides visual metaphors for abstract mathematical concepts. Again and again Escher strived to capture the concept of infinity. He was also fascinated by and a...

In 1909, Thue proved that when $F(x,y) \in \mathbb{Z}[x,y]$ is irreducible, homogeneous, and has degree at least 3, the inequality $|F(x,y)| \leq h$ has finitely many integer-pair solutions for any positive $h$. Because of this result, the inequality...