Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.
Caustics are places where the light intensity diverges, and where the wave front has a singularity. We use a self-similar description to derive the detailed spatial structure of a cusp singularity, from where caustic lines originate. We also study singularities of higher order, which have their own, uniquely three-dimensional structure. We use this insight to study shock formation in classical compressible Euler dynamics. The spatial structure of these shocks is that of a caustic, and is described by the same similarity equation.
- Industrial and Applied Mathematics Seminar
- Industrial and Interdisciplinary Workshops
Atherosclerosis is a manifestation of cardiovascular disease consisting of the buildup of inflamed arterial plaques. Because most heart attacks are caused by the rupture of unstable "vulnerable" plaque, the characterization of plaques and their vulnerability remains an outstanding problem in medicine.
Morphoelasticity is a mathematical framework commonly employed to describe tissue growth.
Its central premise is the decomposition of the deformation gradient into the product of an elastic tensor and a growth tensor.
In this talk, I will present some recent efforts to simulate intimal thickening -- the precursor to atherosclerosis -- using morphoelasticity theory.
The arterial wall is composed of three layers: the intima, media and adventitia.
The intima is allowed to grow isotropically while the area of the media and adventitia is approximately conserved.
All three layers are modeled as anisotropic hyperelastic materials, reinforced by collagen fibers.
We explore idealized axisymmetric arteries as well as more general geometries that are solved using the finite element method.
Results are discussed in the context of balloon-injury experiments on animals and Glagovian remodeling in humans.
- Mathematical Biology and Ecology Seminar
In this seminar we will look at an extension of the well known sewing lemma from rough path theory to fields on [0; 1]k. We will first introduce a framework suitable to study such fields, and then find a criterion for convergence of multiple Riemann type sums of a class of abstract integrands. A simple application of this extension is construct the Young integral for fields.Furthermore, we will discuss the use of this theorem to study integration of fields of lower regularity by using ideas familiar from rough path theory. Moreover, we will discuss difficulties we face by looking at “multi-parameter ODE's” both from an existence and uniqueness point of view.
- Stochastic Analysis Seminar
Roger Penrose is the ultimate scientific all-rounder. He started out in algebraic geometry but within a few years had laid the foundations of the modern theory of black holes with his celebrated paper on gravitational collapse. His exploration of foundational questions in relativistic quantum field theory and quantum gravity, based on his twistor theory, had a huge impact on differential geometry. His work has influenced both scientists and artists, notably Dutch graphic artist M. C. Escher.
Roger Penrose is one of the great ambassadors for science. In this lecture and in conversation with mathematician and broadcaster Hannah Fry he will talk about work and career.
This lecture is in partnership with the Science Museum in London where it will take place. Please email firstname.lastname@example.org to register.
You can also watch online:
The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
- Public Lecture