Past Events

This is the first talk of a series in Persistent homology

In 1960, Feit and Fine were interested in the question posed by the title and to answer it, they found a beautiful formula for the number of pairs of commuting n by n matrices with entries in the field F_q. Their method amounted to finding a...

We show that the catenoid is the unique surface of least area (suitably understood) within a geometrically natural class of minimal surfaces. The proof relies on a techniques involving the Weierstrass representation used by Osserman and Schiffer to...

The course will cover modelling and analysis of ecological populations. The focus will be model formulation, mathematical analysis and biological insight. Subjects will be taken from: single species models (stochastic, continuous time, delay...

This is the last talk of this series. In the first half of the talk we will provide a global picture of how all the pieces (that we constructed throughout this series) fit together to prove Mumford's conjecture following the approach in Galatius...

In this talk we shall survey the theory of complex multiplication from its inception to the present and indicate some of the current outstanding challenges. The talk is in "colloquium style" and as such should be accessible to mathematicians that are...

A major branch of modern combinatorics, usually called Ramsey theory, studies properties of structures which are preserved under partitions. Its guiding philosophy can be neatly summarized by the statement, "Complete disorder is impossible". In this...

I will discuss recent work with Nathaniel Johnston in which we consider a family of operator norms that quantify the degree of entanglement in quantum states. The norms are defined by the Schmidt decomposition theorem for quantum states, and they can...

Interior-point methods for linear and convex quadratic programming require the solution of a sequence of symmetric indefinite linear systems to derive search directions. Safeguards are typically required to handle free variables or rank-deficient...

This presentation starts with a quick epidemiological overview that puts emphasis on neglected diseases and health disparities in the context of developing and/or poor nations. The primary emphasis is however on Tuberculosis (TB). A review of...