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 Watts, J Taylor-West, J Morgan, M Sandnes, B Hewitt, D Journal of Fluid Mechanics volume 1045 (23 Oct 2026) doi:10.1017/jfm.2026.12101
AFNO: Universal Certifiably-Arbitrage-Free Operator Learning Framework for European Call-Price Surfaces
 Kratsios, A Buehler, H Horvath, B Limmer, Y Saqur, R (01 Jan 2026) doi:10.2139/ssrn.7665478
Integrating Natural Language Processing in Child and Adolescent Mental Health Services Research Using Normalization Process Theory: Implementation Report.
 Chen, H Chapman, J Tu, E Zhou, S Laing, J Fergusson, E Kormilitzin, A JMIR Med Inform volume 14 e96370 (26 Oct 2026) doi:10.2196/96370

Recruitment corner

TimeTrace Labs Networking Lunch

TimeTrace Labs is building edge-native world models for real-time state decoding from motion with applications in robotics, autonomous systems, healthcare and beyond.

12.00 pm, Friday 20th November, L3, Mathematical Institute, University of Oxford, 

Register

Network Rail

RecA structure kinetics determine SOS dynamics and predict spontaneous cell death
 Pollacco, J Haygarth, T Couturier, A Lesterlin, C Sherratt, D Baker, R Maini, P Uphoff, S (21 Oct 2026) doi:10.64898/2026.10.19.760072
RecA structure kinetics determine SOS dynamics and predict spontaneous cell death
 Pollacco, J Haygarth, T Couturier, A Lesterlin, C Sherratt, D Baker, R Maini, P Uphoff, S (21 Oct 2026) doi:10.64898/2026.10.19.760072
Critical Poisson hyperplane percolation in hyperbolic space has no unbounded cells
 Recke, K Bühler, T Gusakova, A (22 Dec 2025) doi:10.48550/arXiv.2512.19425

Week 3 Bulletin

It’s the Week 3 Student Bulletin! 

We hope you’ve adjusted to the clocks going back and are staying safe this Halloween!

Read on for the latest news, upcoming events and updates from around the Mathematical Institute.

Aaron has shared his friend Luna, who loves bit of a graph sketching!

Photo of Sam

Collective cell migration in the chick cranial neural crest - a case study by Samuel Johnson

Mathematical modelling and experiments have worked hand in hand for over two decades to uncover how cranial neural crest cells collectively migrate during embryonic development. New work shows how distinct leader- and follower-like cell states can emerge spontaneously from an initially homogeneous population, reconciling seemingly conflicting findings in the biological literature.
Mon, 09 Nov 2026
16:00
C4

Smooth numbers and random multiplicative functions

Seth Hardy
(University of Oxford)
Abstract

In seminal work, Harper showed that the partial sums of random multiplicative functions enjoy "better than square-root cancellation". This surprising phenomenon gives rise to many questions; for example, recent research has focused on whether certain subsums possess this property. In this talk, I will introduce smooth numbers, discuss their "anatomy", and relate this to recent progress on random multiplicative functions over smooth numbers. This is based on joint work with Max Wenqiang Xu.

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