Dr Francesco Fournier-Facio is a Herchel Smith Fellow at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. He works in the field of group theory, which is the algebraic language that mathematicians use to talk about symmetry. Symmetry is everywhere in mathematics, and accordingly groups appear as a natural tool to approach all kinds of problems. Group theory is also widely used in physics, chemistry, and computer science. The general principle is that understanding the symmetries of an object of interest can cut down the amount of information needed to understand the object completely. This can make the difference between a problem that simply cannot be solved, and one that is easy to approach.
Despite their initial algebraic appearance, groups have a fundamentally geometric nature. The flavour of Francesco’s research, commonly called geometric group theory, focuses on this. This features a mixture of algebra, geometry, but also topology and dynamics. The main object of Francesco’s research is called bounded cohomology, and it is a tool that allows to encode all the possible ways in which a group can be realized as the symmetries of certain geometric objects.
Show All
The dynamics of infectious disease (ID) require fast accurate diagnosis for effective management and treatment. Without affordable, accessible diagnostics, syndromic or presumptive actions are often followed, where positive cases may go undetected in the community, or mistreated due to wrong diagnosis. In many low and middle income countries (LMICs), this undermines effective clinical decision-making and infectious disease containment.
Unsteady effects occur in many natural and technical flows, for example around flapping wings or during aircraft gust encounters. If the unsteadiness is large, the resulting forces can be quite considerable. However, the exact physical mechanisms underlying the generation of unsteady forces are complex and their accurate prediction remains challenging. One strategy is to identify the dominant effects and describe these with simple analytical models, first proposed a hundred years ago. When used successfully, this approach has the advantage that it also gives us a conceptual understanding of unsteady fluid mechanics.
In this lecture I will explain some of these ideas and demonstrate how they can still be useful today. As a practical example, I will show how the forces experienced in a wing-gust encounter can be predicted – and how the predictions can be used to mitigate the gust effects. The lecture will be illustrated with images and videos from simple, canonical, experiments.
Cambridge Philosophical Society17 Mill LaneCambridgeCB2 1RXUnited Kingdom
Office Hours: Monday and Tuesday - 10am-4pm
+44 (0)1223 334743
philosoc@group.cam.ac.uk