Past Events

Donaldson–Thomas and Pandharipande–Thomas invariants are two ways of counting curves in Calabi-Yau 3-folds, related by a change of stability conditions. Wall-crossing is a technique that allows us to compare enumerative invariants under such a change...

Advances in protein folding and structure prediction models have enabled new computational approaches to immunotherapeutic research by providing access to high-quality structural information at scale. In this talk, we present three core application...

Differential equations can be studied from a purely geometric point of view, translating many constructions from finite-dimensional differential geometry into their language. This approach helps to clarify such notions as symmetries, conservation...

Model categories provide a powerful framework for abstract homotopy theory, but their complexity often makes them difficult to classify. By focusing on finite categories, especially grids, we gain a combinatorial setting where the problem becomes...

Not all convex functions have finite minimizers; some can only be minimized by a sequence as it heads to infinity. In this work, we aim to develop a theory for understanding such minimizers at infinity. We study astral space, a compact extension of...

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to a conjecture...

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation for this...

My research is centred around the famous Erdos-Ko-Rado (EKR) Theorem. I was first introduced to this theorem through an application in computer science, and later learned about its roots in pure mathematics. This is a research area that has grown so...

We introduce finitely presented (FP) dynamical systems: the class of invertible dynamical systems that admit a Markov partition. Using the symbolic coding of the system arising from such a Markov partition, we completely classify the sets of integers...

Lie groupoids are generalizations of Lie groups which allow one to study a broad range of geometric problems in a uniform way. In this talk I will introduce Lie groupoids and Morita equivalences, and explain how these structures combine to form a 2...