Emmanuel Breuillard elected Fellow of the Royal Society


Oxford Mathematician Emmanuel Breuillard has been elected Fellow of the Royal Society (FRS), the UK’s national academy of sciences and the oldest science academy in continuous existence.

Emmanuel is Professor of Pure Mathematics in Oxford and a Fellow of Worcester College. He works at the interface between algebra and analysis. He has made contributions to the study of finite and infinite groups, using a wealth of methods from diverse areas of mathematics, including combinatorics, mathematical logic, probability theory, dynamics, or diophantine analysis. 

Among them feature his work on free subgroups of Lie groups, the development (with Ben Green and Terence Tao) of a structure theory for approximate groups, and his study (with Peter Varju) of mixing and equidistribution phenomena for random walks on groups with applications to self-similarity and random polynomials. He was a recipient of an EMS Prize in 2012, was an invited speaker at the ICM in 2014 and is a member of Academia Europaea since 2021. 

Oxford Mathematics now has 34 Fellows of the Royal Society among its current and retired members: Fernando Alday, John Ball, Bryan Birch, Martin Bridson, Philip Candelas, Marcus du Sautoy, Artur Ekert, Alison Etheridge, Alain Goriely, Ian Grant, Ben Green, Roger Heath-Brown, Nigel Hitchin, Ehud Hrushovski, Ioan James, Dominic Joyce, Jon Keating, Frances Kirwan, Terry Lyons, Philip Maini, Vladimir Markovic, James Maynard, Jim Murray, John Ockendon, Roger Penrose, Jonathan Pila, Graeme Segal, Endre Süli, Martin Taylor, Ulrike Tillmann, Nick Trefethen, Andrew Wiles, Alex Wilkie, and Emmanuel himself, of course.

Please contact us with feedback and comments about this page. Created on 16 May 2024 - 00:08.

Alison Etheridge to become First President of the Academy for the Mathematical Sciences

Photo at whiteboard

The newly-created Academy for the Mathematical Sciences today announced that Oxford Mathematician Alison Etheridge OBE FRS will be its first President. She will take up the role from 17 June 2024.

The UK-wide Academy will focus on mathematical sciences wherever they happen. This includes teaching and education, academic research pushing the frontiers of what is known, and mathematical sciences in business and in government. It recognises that many crucial policy areas affecting mathematical sciences are devolved. It will also have a wide and inclusive definition of mathematical sciences - and is committed to improving opportunities for previously underrepresented groups of people.

Alison is Professor of Probability in Oxford, having worked at the Universities of Cambridge, Berkeley, Edinburgh and Queen Mary University London before returning to Oxford. Her interests have ranged from abstract mathematical problems to concrete applications with her recent work focused on mathematical modelling of population genetics. She was Head of the Department of Statistics in Oxford until August 2022.

Alison herself says: " by bringing together the whole mathematical sciences community, the Academy will have an authoritative and persuasive voice and so achieve its ambition of enabling the mathematical sciences to deliver on its full potential.”

Read more

Please contact us with feedback and comments about this page. Created on 10 May 2024 - 10:00.

100 lectures in 1 minute

Image of lecturer (Melanie Rupflin) at the whiteboard

We have just put our 100th student lecture on YouTube. But you can watch them all in one minute below.

Or, alternatively, in about 80 hours via our Student Lectures playlist.

The lectures cover all four years of our undergraduate courses, from the initial 'Introduction to Mathematics' to the advanced lectures of the later years on such topics as Networks and Analytic Number Theory. There are several 'whole' courses together with self-contained samples from other courses.




Please contact us with feedback and comments about this page. Created on 09 May 2024 - 15:22.

Show Me the Maths - Arkady

Still from the lecture with Arkady

In recent decades much research has moved from corporates to academia, including to mathematicians. But mathematicians produce models with complex equations. How do they make them comprehensible to the people developing the product? 

In the video below Arkady Wey explains. Episode 5 of 'Show Me the Maths', our series that gets down to the maths itself. You can watch all the films in the series, with more to follow, via our YouTube Channel.

Please contact us with feedback and comments about this page. Created on 17 Apr 2024 - 21:37.

The Ubiquity of Braids - Tara Brendle

Banner for lecture with details against a backdrop of braids

What do maypole dancing, grocery delivery, and the quadratic formula all have in common? The answer is: braids! In this Oxford Mathematics Public Lecture, Tara will explore how the ancient art of weaving strands together manifests itself in a variety of modern settings, both within mathematics and in our wider culture.    

Tara Brendle is a Professor of Mathematics in the School of Mathematics & Statistics at the University of Glasgow. Her research lies in the area of geometric group theory, at the interface between algebra and topology. She is co-author of 'Braids: A Survey', appearing in 'The Handbook of Knot Theory'.

Please email @email to register to attend in person.

The lecture will be broadcast on the Oxford Mathematics YouTube Channel on Thursday 16 May 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.

Please contact us with feedback and comments about this page. Created on 10 Apr 2024 - 15:47.

How do you like your boards?

Still of a blackboard

How do you like your boards? Black with chalk or white with pen?

We took a Swiftie boardwalk round Oxford Mathematics.

38 seconds of chalk and marker pen - and a few mathematicians - in the video below.

There are plenty more clips of mathematical life on our YouTube Channel including tips from Philip Maini on clever laziness, Roger Penrose's Impossible Triangle and some pasta probability puzzles.

Please contact us with feedback and comments about this page. Created on 28 Mar 2024 - 16:40.

Public Lectures online

Still from Trachette Jackson lecture

The Oxford Mathematics Public Lectures were begun with the intention of conveying the huge impact that mathematics has on our lives; but with a parallel acknowledgement that mathematics itself is a complex and often incomprehensible subject. Even professional mathematicians can be lost when straying in to a field in maths outside their expertise.

Equally we didn't want to hide the maths in all its beauty and complexity and so understanding would vary from audience member to audience member. However, the concept behind each lecture, whether about big data, black holes, or Johann Sebastian Bach should be up front. The detail would follow in varying degrees of complexity.

And we recorded them all (well, nearly all, some early lectureres were not so keen but soon we insisted). So now you can choose between nearly 80 lectures on a range of topics, a range that spans far and wide as is hinted above. The most recent three are below. The full playlist is here.

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

Please contact us with feedback and comments about this page. Created on 21 Mar 2024 - 21:57.

Katherine Benjamin wins Silver Medal for Mathematical Sciences at 2024 STEM for BRITAIN


Oxford Mathematician Katherine Benjamin has won the Silver Medal for Mathematical Sciences at the 2024 STEM for BRITAIN poster competition held in the House of Commons on March 4th. Katherine was among 20 researchers in mathematics presenting their work to politicians and a panel of expert judges.

Katherine's poster was entitled: 'Multiscale topology classifies and quantifies cell types in subcellular spatial transcriptomic', and Katherine says, "the poster explored new ways in which we’ve been using maths to help understand complex next-generation genomics data. We use tools and techniques from topology and algebra to identify spatial patterns in the organisation of immune cells under different treatments. The exciting thing is that we can use abstract mathematics to generate real-world testable hypotheses for our collaborators in medicine to study further. This is joint work with a team of mathematicians, including Heather Harrington and Ulrike Tillmann from Oxford Mathematics and researchers from Medical Sciences in Oxford."

STEM for BRITAIN aims to help politicians understand more about the UK’s thriving science and engineering base and rewards some of the strongest scientific and engineering research being undertaken in the UK.

Please contact us with feedback and comments about this page. Created on 05 Mar 2024 - 10:19.

Show Me the Maths - Josh and Nathan

Photo of Nathan

The next two films in our' Show Me the Maths' series demonstrate two contrasting aspects of the mathematics that we do here in Oxford. 

In the first, Josh Bull, talks about the challenge of making mathematical models have application to real patient data, in Josh's case in the field of oncology. In the second, Nathan Creighton discusses his work on Dirichlet-L functions.

'Show Me the Maths': short films that unashamedly get down to the detail.




Please contact us with feedback and comments about this page. Created on 22 Feb 2024 - 20:50.

Multivariable Calculus - now free to air

Still from the lecture with Sarah

Which of the 93 student lectures on our YouTube Channel is most watched? Perhaps the 'Introduction to Mathematics' or a spot of 'Linear Algebra'? Or possibly 'Probability'? 

Well, they're all popular, but the most watched lecture on the channel is 'Introductory Calculus'. YouTubers (and the algorithm) love it.

So we're showing 4 lectures from its follow-up, 'Multivariable Calculus' starring Sarah Waters. It's a first year lecture taken in the second term of the year.


Please contact us with feedback and comments about this page. Created on 18 Feb 2024 - 16:19.