Comparing models with data using computational algebra
Abstract
In this talk I will discuss how computational algebraic geometry and topology can be useful for studying questions arising in systems biology. In particular I will focus on the problem of comparing models and data through the lens of computational algebraic geometry and statistics. I will provide concrete examples of biological signalling systems that are better understood with the developed methods.
Please note that this will be held at Tsuzuki Lecture Theatre, St Annes College, Oxford.
Please note that you will need to register for this event via https://www.eventbrite.co.uk/e/qbiox-colloquium-trinity-term-2018-ticke…
Fixation and spread of somatic mutations in adult human colonic epithelium
Abstract
Cancer causing mutations must become permanently fixed within tissues.
Please note that this will be held at Tsuzuki Lecture Theatre, St Annes College, Oxford.
Please note that you will need to register for this event via https://www.eventbrite.co.uk/e/qbiox-colloquium-trinity-term-2018-ticke…
Voronoi summation and applications to subconvexity
Abstract
We will briefly revisit Voronoi summation in its classical form and mention some of its many applications in number theory. We will then show how to use the global Whittaker model to create Voronoi type formulae. This new approach allows for a wide range of weights and twists. In the end we give some applications to the subconvexity problem of degree two $L$-functions.
Oxford Mathematician Andreas Sojmark, a DPhil student in the EPSRC Centre for Doctoral Training in Partial Differential Equations has been awarded the Bar-Ilan Young Researcher Prize in Financial Mathematics. The prize is awarded to a PhD student or early career postdoctoral researcher for an outstanding paper in financial mathematics submitted for the Third Bar-Ilan Conference in Financial Mathematics.
Mathematical modelling in infectious disease epidemiology
Everyday life tells us that curved objects may have two stable states: a contact lens (or the spherical cap obtained by cutting a tennis ball, see picture) can be turned ‘inside out’. Heuristically, this is because the act of turning the object inside out keeps the central line of the object the same length (the centreline does not stretch significantly). Such deformations are called ‘isometries’ and the ‘turning inside out’ (or everted) isometry of a thin shell is often referred to as mirror buckling.
Cycling science is a lucrative and competitive industry in which small advantages are often the difference between winning and losing. For example, the 2017 Tour de France was won by a margin of less than one minute for a total race time of more than 86 hours. Such incremental improvements in performance come from a wide range of specialists, including sports scientists, engineers, and dieticians. How can mathematics assist us?