In our first event of term, we have a fun quiz competition to help you get to know other Mathematrix members and a free pizza lunch from White Rabbit! What more could you want?
We give an introduction to a rigorous renormalization group analysis of the sine-Gordon model with a focus on deriving the lowest-order beta function.
We are currently inviting applications for a Postdoctoral Research Associate to work with Professor Melanie Rupflin at the Mathematical Institute, University of Oxford. This is a 3-year, fixed-term position, funded by a research grant from the Engineering and Physical Sciences Research Council (EPSRC). The starting date of this position is flexible with an earliest start date of 01 July 2026. We particularly welcome applications from individuals who are able to start between July and December of 2026.
We are seeking to appoint a Research Programme Manager to provide professional support to the GSK-Imperial-Oxford Modelling-Informed Medicine Centre (MiMeC), an inter-disciplinary cross-institutional research programme. This programme brings together GSK, the University of Oxford and Imperial College London working on applying mathematical modelling to de-risk and accelerate drug discovery and development. This is an exciting opportunity to work closely with academic institutions and industry to drive forward this area of research.
In this talk, I'm going to give an introduction to my area of research, which concerns automorphic L-functions. We're going to start by introducing the ring of adeles and how it leads us to an integral representation of the Riemann zeta function. We'll see how this can be generalised for an arbitrary automorphic representation and pose general conjectures which resemble the Riemann Hypothesis. I'll finish by presenting the statement and an idea behind my recent result related to those conjectures.
Bring interesting problems (relating to your research or otherwise) for a unique brainstorming session
Fusion systems are a generalisation of finite groups designed in a way to capture local structure at a prime motivated by the existence of "exotic" fusion systems; local structures that do not appear in any finite group. In this talk I will give a brief introduction to fusion systems with emphasis on how they relate to groups. I will then discuss recent work done on fusion invariant character theory, concluding with a short excursion into biset functor theory to state a character value formula for "induction" between fusion systems and a Frobenius reciprocity analogue.
A (saturated) fusion system on a p-group P contains data about conjugacy within P, the typical case being the system induced by a group on its Sylow p-subgroup. Fusion systems are completely determined by looking at their essential subgroups, which must admit an automorphism of order coprime to p. For p=2, we describe two new methods that address the question: given an essential subgroup $E<P$ of a fusion system on P, what can we say about P? In particular, one method gives us sufficient conditions to deduce that $E\triangleleft P$, while the other explores cases where we have strong control over the normaliser tower of E in P.