Tue, 23 Apr 2024
15:00
L6

Approximate lattices: structure and beyond

Simon Machado
Abstract

Approximate lattices are aperiodic generalisations of lattices in locally compact groups. They were first introduced in abelian groups by Yves Meyer before being studied as mathematical models for quasi-crystals. Since then their structure has been thoroughly investigated in both abelian and non-abelian settings.

In this talk I will survey what is known of the structure of approximate lattices. I will highlight some objects - such as a notion of cohomology sitting between group cohomology and bounded cohomology - that appear in their study. I will also formulate open problems and conjectures related to approximate lattices. 

Homogenisation of nonlinear blood flow in periodic networks: the limit of small haematocrit heterogeneity
 Ben-Ami, Y Wood, B Pitt-Francis, J Maini, P Byrne, H (16 Jan 2024)

Lecture Capture: Reporting Issues

We're aware that there have been some lecture capture issues at the start of term, particularly in L3, L4 and L6. While IT have been actively working on the problems reported and we're hoping that most of these issues have now been resolved, if you do need to report any new problems with the audio-visual equipment then please contact @email. 

Thu, 29 Feb 2024
17:00
Lecture Theatre 1

Mobilizing Mathematics for the Fight Against Cancer - Trachette Jackson

Trachette Jackson
Further Information

Mathematical oncologists apply mathematical and computational models to every aspect of cancer biology, from tumor initiation to malignant spread and treatment response. A substantial amount of medical research now focuses on the molecular biology of individual tumors to selectively target pathways involved in tumor progression, leading to careful manipulation of these pathways, and new cell-specific approaches to cancer therapy are now being developed. At the same time, advances in cancer immunotherapies have led to a reemergence of their use and effectiveness. Using data-driven computational models is a powerful and practical way to investigate the therapeutic potential of novel combinations of these two very different strategies for clinical cancer treatment.

Trachette will showcase mathematical models designed to optimize targeted drug treatment strategies in combination with immunotherapy, to gain a more robust understanding of how specific tumor mutations affect the immune system and ultimately impact combination therapy. Combined with existing and newly generated experimental data, these models are poised to improve the ability to connect promising drugs for clinical trials and reduce the time and costs of transitioning novel therapeutic approaches from “equations to bench to bedside.”

Trachette Jackson is Professor of Mathematics at the University of Michigan and recipient of many awards for her work in her field and for her commitment to increasing opportunities for girls, women, and underrepresented minority students.

Please email @email to register to attend in person.

The lecture will be broadcast on the Oxford Mathematics YouTube Channel on Thursday 21 March at 5-6pm and any time after (no need to register for the online version).

The Oxford Mathematics Public Lectures are generously supported by XTX Markets.

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Fridays@2 Week 4: Maths on YouTube

Fridays@2 is back! Here's a reminder of our Week 4 and 5 events: 

Next Friday, Dr Tom Crawford will share his story and career path to date as he tries to straddle the worlds of academia and social media. Expect top tips, lessons learned, and helpful insights from his experience over the past 7 years. 

Why do your socks get stuck in your duvet cover?

Oxford Sparks are looking for someone to explain why all of the small bits of washing end up inside your duvet?

This major issue is in the news because one of their videos was taken up by Radio Oxford and the DJ sprung the duvet question on them during the live interview.

So they are looking for someone to give an answer to the question, ideally a mathematical answer, in video form.

Oxford Mathematics Public Lecture: Logging the World - Oliver Johnson

During the pandemic, you may have seen graphs of data plotted on strange-looking (logarithmic) scales. Oliver will explain some of the basics and history of logarithms, and show why they are a natural tool to represent numbers ranging from COVID data to Instagram followers. In fact, we’ll see how logarithms can even help us understand information itself in a mathematical way.

Show Me the Maths

Our new short film series 'Show Me the Maths' doesn't beat about the mathematical bush. It gets right down to it. Down, that is, to the maths, in all its crucial, complex, sometimes incomprehensible (even to other mathematicians, so you say) guises.

The series will feature research in Number Theory, Mathematical Biology and the History of Mathematics, amongst others. If you want to join in let me (Dyrol) know.

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