Kiddie Colloquium

In the 1970s, Lovász provided a stunning proof of the Kneser conjecture, which stated that a certain family of graphs had large chromatic number. Lovász proved the result by lower-bounding the chromatic number in terms of the (topological) connectivity of an associated topological space, in…

Given two smooth manifolds M and N with boundaries dM and dN, together with a diffeomorphism between dM and dN, how do we glue M and N along the diffeomorphism to obtain a smooth manifold? The standard method in differential topology is to choose collar neighborhoods, and it can be proven that…

Shtuka is a species of mathematical creature featuring multiple legs. It is born in association with the algebraic symmetry encoded by an algebraic group. The movement and transformation of its legs simultaneously realize combinatoric symmetry (encoded by Hecke action) and arithmetic symmetry (…

In fields ranging from medical imaging to seismology, we’ve developed tools that can see inside without having to go inside. How do these work? In this introductory talk, I will discuss the basics of the theory behind these technologies. We'll take a friendly and inviting…

How is cloth stitching related to mountain climbing? Come to find out!

Details to come!

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Have you recently had a close encounter ... A close encounter with something very unusual?

I will describe three strange phenomena in several complex variables; phenomena which, much like strange lights in the sky, or circles in…

A friendly introduction to everyone's favourite badly-approximable irrational, featuring symplectic topology and J-holomorphic curves.