Today, Thursday 7th December 2017, Oxford Mathematics will be holding its second Graduate Virtual Open Day, from 15:00-16:00 (UK time). This year, the Virtual Open Day will be focusing on taught masters' courses offered at the Mathematical Institute, which will include the following degrees:
Michael Berry - Chasing the dragon: tidal bores in the UK and elsewhere
Abstract
Oxford Mathematics Public Lectures
Hooke Lecture
Michael Berry - Chasing the dragon: tidal bores in the UK and elsewhere
15 November 2018 - 5.15pm
In some of the world’s rivers, an incoming high tide can arrive as a smooth jump decorated by undulations, or as a breaking wave. The river reverses direction and flows upstream.
Understanding tidal bores involves
· analogies with tsunamis, rainbows, horizons in relativity, and ideas from quantum physics;
· the concept of a ‘minimal model’ in mathematical explanation;
· different ways in which different cultures describe the same thing;
· the first unification in fundamental physics.
Michael Berry is Emeritus Professor of Physics, H H Wills Physics Laboratory, University of Bristol
5.15pm, Mathematical Institute, Oxford
Please email @email to register.
Watch live:
https://www.facebook.com/OxfordMathematics
https://livestream.com/oxuni/Berry
Oxford Mathematics Public Lectures are generously supported by XTX Markets.
Loops from the Nodal Riemann Sphere: 2-loop gravity amplitudes from the Ambitwistor String
In the first Oxford Mathematics London Public Lecture, in partnership with the Science Museum, world-renowned mathematician Andrew Wiles lectured on his current work around Elliptic Curves followed by an-depth conversation with mathematician and broadcaster Hannah Fry.
In a fascinating interview Andrew talked about his own motivations, his belief in the importance of struggle and resilience and his recipe for the better teaching of his subject, a subject he clearly loves deeply.
Earth absorption
16:00
Mazur's Eisenstein ideal
Abstract
In his landmark 1976 paper "Modular curves and the Eisenstein ideal", Mazur studied congruences modulo p between cusp forms and an Eisenstein series of weight 2 and prime level N. He proved a great deal about these congruences, and also posed some questions: how many cusp forms of a given level are congruent to the Eisenstein series? How big is the extension generated by their coefficients? In joint work with Preston Wake, we give an answer to these questions in terms of cup products (and Massey products) in Galois cohomology. Time permitting, we may be able to indicate some partial generalisations of Mazur's results to square-free level.
Precise forecasting in the first few days of an infectious disease outbreak is challenging. However, Oxford Mathematical Biologist Robin Thompson and colleagues at Cambridge University have used mathematical modelling to show that for accurate epidemic prediction, it is necessary to develop and deploy diagnostic tests that can distinguish between hosts that are healthy and those that are infected but not yet showing symptoms. The data derived from these tests must then be integrated into epidemic models.
16:00
Some smooth applications of non-smooth Ricci curvature lower bounds
Abstract
After a brief introduction to the synthetic notions of Ricci curvature lower bounds in terms of optimal transportation, due to Lott-Sturm-Villani, I will discuss some applications to smooth Riemannian manifolds. These include: rigidity and stability of Levy- Gromov inequality, an almost euclidean isoperimetric inequality motivated by the celebrated Perelman’s Pseudo-Locality Theorem for Ricci flow. Joint work with F. Cavalletti.