Roger Heath-Brown appointed OBE in 2024 New Year Honours List

Congratulations to Roger who has been been appointed Officer of the Order of the British Empire (OBE) for services to Mathematics and Mathematical Research in the 2024 New Year Honours List.

You can watch an interview with Roger by Ben Green on occasion of his retirement (whatever that means for a mathematician).

Thu, 18 Jan 2024
16:00
Lecture Room 4, Mathematical Institute

Traces of random matrices over F_q, and short character sums

Ofir Gorodetsky
(University of Oxford)
Abstract
Let g be a matrix chosen uniformly at random from the GL_n(F_q), where F_q is the field with q elements. We consider two questions:
1. For fixed k and growing n, how fast does Tr(g^k) converge to the uniform distribution on F_q?
2. How large can k be taken, as a function of n, while still ensuring that Tr(g^k) converges to the uniform distribution on F_q?
We will answer these two questions (as well as various variants) optimally. The questions turn out to be strongly related to the study of particular character sums in function fields.
Based on joint works with Brad Rodgers (arXiv:1909.03666) and Valeriya Kovaleva (arXiv:2307.01344).
Wed, 14 Feb 2024
17:00
Lecture Theatre 1

Logging the World - Oliver Johnson

Oliver Johnson
(University of Bristol)
Further Information

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.

Oliver Johnson is Professor of Information Theory in the School of Mathematics at the University of Bristol. His research involves randomness and uncertainty, and includes collaborations with engineers, biologists and computer scientists. During the pandemic he became a commentator on the daily COVID numbers, through his Twitter account and through appearances on Radio 4 and articles for the Spectator. He is the author of the book Numbercrunch (2023), which is designed to help a general audience understand the value of maths as a toolkit for making sense of the world.

Please email @email to register.

The lecture will be broadcast on the Oxford Mathematics YouTube Channel on Wednesday 06 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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Physics and the Science of Living Things

Physics and the Science of Living Things – HAPP one day conference, in-person/livestreamed, 10:30-17:00, Saturday 24 February

This conference will review how physics has contributed to the science of living things from antiquity to the present day through a survey of the milestones in how this knowledge has been gained.

University Museum of Natural History, Parks Road, Oxford OX1 3PW, 10:30-17:00, Saturday 24th February 2024.

Diversifying STEM Curriculum event: Discussing Fisher

Join us on Wednesday 24 January for a discussion on Sir Ronald Aylmer Fisher, a British statistician and geneticist, who pioneered the development of experimental design and the application of statistical methods in science. An influential figure in British scientific history, Fisher was also a leading eugenicist.

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