Past Events

The Hilbert scheme of projective space is a fundamental moduli space in algebraic geometry. The naive generalization of the Hilbert scheme can fail to exist for some spaces of interest, however. D. Rydh and I have generalized the Hilbert scheme, to...

Arnold tongues are parameter regions within which dynamics of a mathematical model become mode-locked to a particular frequency or period. Recent studies of models in a wide variety of fields (examples include models of spiking in neurons, the human...

Abstract Wave phenomena occur on an enormous range of scales, from the sub-quantum mechanical to the astrophysical. This talk will discuss the problem of free surface waves in water, which is a classical problem in mathematical hydrodynamics. We will...

A strongly regular graph srg(v,k,lambda,mu) is a graph with v vertices that is regular of valency k and that has the following properties: (1) For any two adjacent vertices x,y, there are exactly lambda vertices adjacent to both x and y. (2) For any...

Abstract: A strongly regular graph srg(v,k,lambda,mu) is a graph with v vertices that is regular of valency k and that has the following properties: (1) For any two adjacent vertices x,y, there are exactly lambda vertices adjacent to both x and y. (2...

As part of Smale's program for smooth dynamics, David Ruelle gave a definition of a Smale space as (roughly) a topological dynamical system which has a local product structure of contracting and expanding directions for the dynamics. A special case...

Abstract The electrophysiology in a cardiac cell can be modelled as a system of ordinary differential equations. The efficient solution of these systems is important because they must be solved many times as sub-problems of tissue- or organ-level...

Principal component analysis (PCA) is a widely used technique for data analysis and dimension reduction with numerous applications in science and engineering. However, the standard PCA suffers from the fact that the principal components (PCs) are...