Past Events

In 1993, Stanley showed that if a simplicial complex is acyclic over some field, then its face poset can be decomposed into disjoint rank 1 boolean intervals whose minimal faces together form a subcomplex. Stanley further conjectured that complexes...

Coding theory has been associated mainly with maintaining reliability in communication and storage systems. Yet work published already in the 1950s by Von Neumann, Moore, and Shannon also considered the use of error handling techniques to maintain...

One version of the Polycirculant Conjecture is that every finite vertex-transitive digraph admits a non-trivial semiregular automorphism. I will give an overview of the status of this conjecture, as well as describe some recent progress with Michael...

A theme that cuts across many domains of computer science and mathematics is to find simple representations of complex mathematical objects such as graphs, functions, or distributions on data. These representations need to capture how the object...

Motivated by problems in Bayesian nonparametrics and probabilistic programming discussed in Staton et al. (2018), we present a new kind of partial exchangeability for random arrays which we call DAG-exchangeability. In our setting, a given random...

The translation of proteins is a key part of the central dogma of biology that underlies life. Thus, unraveling the dynamics of translation and understanding how this process is regulated across scales, systems and species, is fundamental. In light...

Solvers for the Boolean satisfiability problem have been increasingly used to solve hard problems from many fields and now routinely solve problems with millions of variables. Combinatorial problems are a natural target, as SAT solvers contain...

We explore graphs of high cop number. We give new lower bounds for cop number of graphs of high girth. We also present a new class of undirected graphs with cop number $(1-o(1)) \sqrt{n/2}$ and a class of directed graphs with cop number $(1-o(1))...

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.

In this talk we introduce a mathematical model to describe temporal processes like embryonic development and cellular reprogramming. We consider stochastic processes in gene expression space to represent developing populations of cells, and we use...