Past Events

Things hypergeometric reach out in various directions that may be a little surprising. In this talk we will look at some nineteenth-century developments. Beginning with some results of Gauss, we will sample from work by E. E. Kummer (who, in...

Hypergeometric functions occur in many shapes and flavours throughout mathematics and mathematical physics. The first such functions were introduced by Euler and studied in depth by Gauss.Since the end of the 19th the concept of hypergeometric...

In this talk, we will consider topological spaces arising from commuting unitary and orthogonal matrices. Basic properties will be discussed, such as the number and structure of their path components. Connections to representations, bundles and...

In kidney exchanges, patients with kidney disease can obtain compatible donors by swapping their own willing but incompatible donors. The clearing problem involves finding a social welfare maximizing set of non-overlapping short cycles. We proved...

Suppose that infinitely many red and blue points occur at random locations in Euclidean space, and consider translation-invariant schemes for perfectly matching red points to blue points. (Translation-invariance can be interpreted as meaning that the...

Given a sample of random vectors drawn from the standard Gaussian distribution, there is a variety of associated random convex sets. For instance, taking the convex hull of the vectors gives rise to a Gaussian random polytope. Recently, techniques...

Mathematical models can help us understand the formation of complex spatial patterns, including the territories of wolves and coyotes. Here scent marks provide important cues regarding the use of space. In this talk I will show how biologically-based...

Man has grappled with the meaning and utility of randomness for centuries. Research in the Theory of Computation in the last thirty years has enriched this study considerably. I'll describe two main aspects of this research on randomness...