Oxford Mathematicians awarded ERC Advanced Grants

Photos

Oxford Mathematicians Ben Green and Alex Scott have been awarded European Research Council (ERC) Advanced Grants. The grants are one of the most prestigious and competitive research awards in the world, providing long-term funding to well-established, leading scientists and scholars who wish to pursue groundbreaking, high-risk projects that push the frontiers of knowledge. The grants are part of the EU’s Horizon Europe programme and are each worth up to €2.5 million over a period of five years. A record 3,329 proposals was submitted to the funding round this year, with 9.6% of proposals being selected for funding.

Ben Green’s project will explore questions in pure mathematics about patterns and structure within sets of whole numbers. The project brings together two areas of modern mathematics: additive combinatorics, which studies how sets of numbers behave when they are added together, and higher-order Fourier analysis, which can detect mathematical patterns beyond the reach of classical methods. Ultimately, this could open new ways to understand the hidden structure of numbers.

Ben (pictured left) said on receiving the grant: "it is great to have the approval of colleagues that obtaining an ERC Advanced Grant represents, and a pleasure to acknowledge the collaborators without whom a successful outcome would not have been possible. The grant itself will make it possible to assemble a team of talented early-career researchers in Oxford to work on problems I genuinely care about, and I look forward to starting the recruitment process."

Alex writes of his work: "the goal of my project is to develop new tools for understanding the structure of graphs and networks.  For instance, what do we see locally in a large, complicated network? How can we piece together local structure to obtain global information? How do we handle approximate structure or noise?  Problems of this type arise in many parts of mathematics and related fields.  The project will both attack longstanding questions in the area such as the Erdos-Hajnal Conjecture, which concerns the subtle interaction between local and global structure, and lay foundations for the new area of coarse graph theory, which is concerned with the large-scale geometric structure of graphs.

"I’m delighted that the ERC has decided to fund this project, showing their support for fundamental mathematical research. I am very excited to have the time and resources to pursue this work, alongside a team of talented students and postdocs."

Posted on 23 Jun 2026, 9:00am. Please contact us with feedback and comments about this page.

Oxford Unbounded launches

Photo of student and supervisor

Today sees the pilot launch of Oxford Unbounded, our free online mentoring programme to help students achieve top grades at Maths GCSE/National 5s. Teachers at selected schools across the UK, with a high proportion of students from backgrounds underrepresented at Oxford, have been invited to nominate students in Year 10 (or equivalent).

Oxford mentors, ten this year, all Oxford Mathematics undergraduates,  will tutor groups of 4–5 students on a weekly basis during the summer between Y10 and Y11 (or equivalent) and then continue to provide support during Y11. Students will also be invited to a three-day revision residential at the Mathematical Institute and Lincoln College, Oxford during the April before their exams. For 2026-27 over 120 schools applied and 14 schools were selected. Each school then nominated four eligible students giving a total of 56 students enrolled on the programme.

The full programme will start in 27/28, and aims to enrol around 300 students. 

Read more including FAQS and some questions to whet your appetite

Posted on 23 Jun 2026, 9:00am. Please contact us with feedback and comments about this page.

Paul Ouwerkerk - The Oxford Variations

One of the paintings

We are delighted to introduce our latest exhibition in the Andrew Wiles Building. Visual artist Paul Ouwerkerk has created 30 new paintings where he plays with the perspective plane in paintings that are generated from self-composed number sequences. The handcrafted canvases are the result of a process in which the artist, after defining a rigid grid as starting point, leaves space for intuition and industrious manual application to elaborate towards the final result.

Visually these paintings can often be interpreted as unfolded polyhedra, dissolving into mathematical landscape perspectives. The rule-based compositions are sometimes derailed purposefully during the painting process, as if to ‘break-the-code’. Painting techniques and materials play a pivotal role in the creation of these works and the materialisation of these abstract illusions.

Paul Ouwerkerk lives and works in Amsterdam. He has a background in art, photography and design. His previous work experience is intermingled with the world of architecture, urbanism and landscape design. Since 2017 he has been painting his abstract ‘Dynamic Geometry’ series.

9.00 a.m. - 5.00 p.m. from 8 June to 31 December 2026.

Mezzanine floor, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford

Posted on 6 Jun 2026, 5:57pm. Please contact us with feedback and comments about this page.

Max Gubinelli awarded the 2026 XL Medal for Mathematics

Photo

Oxford Mathematician Massimiliano Gubinelli has been awarded the 2026 XL Medal for Mathematics by Accademia Nazionale Delle Scienze, Italy's National Academy of Science which was founded in Verona in 1782. 

Max is our Wallis Professor of Mathematics, Head of the Stochastic Analysis Group and a Fellow at St Anne's College. His research focuses on rough path theory, stochastic PDEs, and Euclidean quantum field theory, where he has helped develop modern tools for understanding highly irregular systems and random phenomena.

Max has also held positions in Paris and Bonn, and was an invited speaker at the 2018 International Congress of Mathematicians.

Posted on 1 Jun 2026, 2:50pm. Please contact us with feedback and comments about this page.

Francis Brown elected Fellow of the Royal Society (FRS )

Photo

Francis Brown has been elected Fellow of the Royal Society (FRS). Francis works in algebraic geometry and mathematical physics. His research ranges from pure mathematics to methods for precision calculations in high-energy particle physics. He is also committed to supporting the mathematical sciences through fundraising and charitable work.

His contributions include resolving conjectures of Deligne on the Riemann sphere minus three points, Goncharov–Manin on moduli spaces of curves, and Hoffman on multiple zeta values, as well as decisive results on several problems of Kontsevich.

His work on the motivic Galois theory of periods and on modular and elliptic iterated integrals has transformed our understanding of amplitudes in quantum field theory and led to major advances in the computation of Feynman integrals, which underpin predictions at the Large Hadron Collider.

Francis is a Professor of Mathematics here in Oxford and has been a Senior Research Fellow at All Souls College, Oxford since 2014, having previously worked at IHES in Paris and the CNRS from 2007.

Francis says of his election: "I am very grateful for this recognition of an area of research which has historically been under-represented in the UK, and for the encouragement it gives to strengthening links between mathematics and physics."

Oxford Mathematics now has 33 Fellows of the Royal Society among its current and retired members: Fernando Alday, John Ball, Bryan Birch, Emmanuel Breuillard, Martin Bridson, Philip Candelas, Marcus du Sautoy, Artur Ekert, Alison Etheridge, Mike Giles, Alain Goriely, Ben Green, Roger Heath-Brown, Nigel Hitchin, Ehud Hrushovski, Dominic Joyce, Jon Keating, Frances Kirwan, Terry Lyons, Philip Maini, 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 Francis himself, of course.

Photo credit: John Cairns

Posted on 27 May 2026, 10:00am. Please contact us with feedback and comments about this page.

Short stories - summer special

Photo of Ellie Guha

Okay, it isn't technically summer here in the UK, but the asphalt is baking hot and the cows are panting under the trees in the meadow. So what better way to celebrate than staying cool by watching a few maths films.

We have revision tips, the role of mathematics in artificial intelligence, thinking of maths in your native language and thoughts on the real origins of the Fibonacci numbers from Marcus du Sautoy; and then there's the importance of prime numbers in internet security presented by Fields Medallist James Maynard.

Below Stéphanie Abo talks about her work with biologists and the importance of being able to communicate the value of mathematical models.

And here is the full set of short stories

Posted on 25 May 2026, 11:49am. Please contact us with feedback and comments about this page.

Space, time and Shakespeare - Paul Glendinning

Banner for event - Shakespeare against backdrop of the Globe

Shakespeare’s work provides a snapshot of how people made sense of the world around them: how they solved problems (how large is an opposing army?) and how they navigated a complex environment (does the sun rise in the east?).

In this talk Paul will explore how scientific and technological ideas are woven into Shakespeare’s plays and sonnets through actions, words and conversations between characters. He will mention Copernicus twice, once as an over-interpretation. His interest is in how we think within structures, not whether the structures are correct. Almanacs, mirrors and Dee’s vision of applied mathematics will be part of the story. He will also talk about nothing.

Paul Glendinning is the Beyer Professor of Applied Mathematics at the University of Manchester. His research is in applied dynamical systems and he has been President of the IMA (2022-2023) and Scientific Director of the International Centre for Mathematical Sciences in Edinburgh (2016-2021).

Wednesday May 6th 2026, 5pm, Mathematical Institute, Oxford OX2 6GG

Please email @email to register to attend in person.

The lecture will be broadcast on the Oxford Mathematics YouTube Channel on Wednesday 27 May at 5-6 pm and any time after (no need to register for the online version).

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

Posted on 28 Apr 2026, 9:48am. Please contact us with feedback and comments about this page.

Kaibo Hu wins the Stephen Smale Prize

Photo

The Stephen Smale Prize is awarded by the Society for the Foundations of Computational Mathematics 'to recognise the work of young mathematicians in the areas at the heart of the society’s interests and to help to promote their integration among the leaders of the scientific community.'

Kaibo's research focuses on the intersection of discrete structures, geometry, and computation, aiming to develop rigorous mathematical foundations for structure-preserving numerical methods. By exploring the discrete counterparts of differential geometry, topology, and homological algebra, he seeks to build computational frameworks that are inherently compatible with the underlying physical and geometric structures of complex systems.

Congratulations to Kaibo who will deliver a plenary lecture at the conference 'Foundations of Computational Mathematics (FoCM 2026)', to be held in Vienna July 8th-18th.

Posted on 22 Apr 2026, 9:32pm. Please contact us with feedback and comments about this page.

Patrick Farrell and Heather Harrington made SIAM Fellows

Photos

Oxford Mathematicians Patrick Farrell and Heather Harrington have been made Fellows of Society for Industrial and Applied Mathematics (SIAM).

Patrick is made fellow for his contributions to algorithms and software for the numerical solution of partial differential equations. Patrick is a Professor in the Numerical Analysis group in Oxford and a Tutorial Fellow at Oriel College. For 2025 and 2026 he is also the Donatio Universitatis Carolinæ Chair at the Faculty of Mathematics and Physics at Charles University in Prague.

Heather is recognised for her outstanding contributions to the development of new topological and algebraic methods and their applications to mathematical biology. Heather is Professor of Mathematics in Oxford, a fellow of St John's College and director at the Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG) and the Center for Systems Biology Dresden (CSBD).

Posted on 31 Mar 2026, 10:06pm. Please contact us with feedback and comments about this page.

New centre to create computer models of lungs, liver, kidneys and cartilage

Image of Andrew Wiles Building

The Modelling-Informed Medicine Centre (MiMeC), founded by biopharma company GSK together with the University of Oxford and Imperial College London, will provide a new UK hub for research in the rapidly growing field of data-driven mechanistic modelling.

The centre will create computer models or ‘digital twins’ of organs and diseases to better understand how diseases of the lungs, liver, kidneys and cartilage progress, to discover and develop drugs more quickly, and to target medicines more precisely. The centre is backed by £11 million funding from GSK and multidisciplinary expertise spanning mathematics, data science, and experimentation from the founding partners.

The partners aim to support the life sciences community by bringing together advances across multiple disciplines in the field and training a new generation of research and development specialists who understand best practice in this emerging area of biomedical research. It will share its models on an open-source basis and build collaborations with further partners.

GSK plans to use the research to incorporate computational models of organs into its drug development pipeline within five years, aided by industrial placements it will provide to researchers from the centre.

The programme is led by Professor Helen Byrne and Professor Philip Maini in Oxford Mathematics, Professor Steven Niederer at Imperial College London, and Dr Anna Sher at GSK.

Designing effective treatments

The collaboration will harness advanced mathematical modelling to de-risk and accelerate the discovery and development of new medicines and vaccines. By enhancing our understanding of the underlying pathophysiological mechanisms of disease, the partnership aims to support the wider adoption of model-informed approaches across the drug development pipeline.

In Oxford, the programme will focus on the development of core mathematical and computational biology models for cartilage and lung diseases. The team will develop and apply mechanistic models to advance understanding of disease processes and inform the design of more effective treatments.

The research will focus on the construction of mechanistic mathematical models grounded in physics, physiology and pharmacology to elucidate disease mechanisms, and will include multi-scale models that integrate molecular, cellular and organ-level processes with whole-body physiology.

The Oxford teams will also develop and employ digital twins and virtual patients to simulate treatment responses, optimise dosing strategies, and design in-silico clinical trials. In addition, they will contribute open-source tools, standards for reproducibility, and case studies that showcase the impact of model-informed drug and vaccine development.

Professor Jon Chapman, Head of Oxford's Mathematical Institute said: 'this exciting new partnership recognises the pioneering role that our Wolfson Centre for Mathematical Biology has played - and continues to play - in applying mathematics to understand diseases and their response to treatment.'

Professor Helen Byrne said: 'we look forward to working with GSK and Imperial to train the next generation of leaders in mechanistic modelling for careers across industry and academia.'

Building digital twins of organs

At Imperial, Professor Niederer and team will build patient-specific models of organs using artificial intelligence and biological datasets, mathematically representing millions of cells in organs such as the lungs, and the mechanistic (or cause-and-effect) relationships they hold to one another, by modelling a proportion of cells found in the real organ.

Using the models, researchers could perform a simple in vitro experiment into the effect of a drug on a single lung cell and then use the model to simulate how this would translate into larger effects such as changes in the behaviour of the airways.

Eventually, the approach could allow clinicians to use digital twins of specific patients to tailor their treatments in real time, an approach that Professor Niederer’s group is already testing with cardiac patients.

Professor Steven Niederer from the National Heart and Lung Institute at Imperial College London said: 'We have seen maths used for modelling aeroplanes and cars - and increasingly there is a realisation that this has benefits in biology, where you can perform virtual experiments in models of humans at great speed and a fraction of the usual cost.'

Boosting the UK life science industry

MiMeC will focus on embedding a ‘mathematical modelling-first’ mindset towards the development of new therapies.

Dr Anna Sher, MiMeC Co-Director and Quantitative Systems Pharmacology lead in the Respiratory, Immunology and Inflammation Research Unit at GSK, said: 'by cycling between computer modelling, learning from the results, making predictions and then testing them, we can make faster, better decisions in developing new medicines. The tools and models developed through MiMeC strengthen GSK’s ability to generate virtual patients and digital twins to run computer based (in silico) clinical trials, analyse different data types, and test scientific ideas more efficiently.'

Bringing the mechanistic modelling mindset to the forefront of quantitative medicine has the potential to help supercharge the UK life science industry.

Posted on 19 Mar 2026, 9:12pm. Please contact us with feedback and comments about this page.