Asymptotic analysis of a kinematic model for coffee-ring deposition
Oliver, J
Melvin, L
Moore, M
Journal of Fluid Mechanics
volume 1039
(24 Jul 2026)
Not an old warhorse, but offering something new each time, as one critic said of 23 year-old American composer Samuel Barber's masterpiece. Barber himself got a bit tired of its success, the price of peaking early.
Leonard Bernstein takes it slowly as he conducts the New York Philharmonic. Contemplation for a summer's evening.
Host one of our MSc students for an internship in the finance sector
Promote your organisation at an event in the home of Oxford Mathematics
Temporal self-similarity reveals percolation universality classes in complex networks
Fang, S
Meng, J
Lin, Q
Chen, B
Dong, G
Bai, C
Nagler, J
Deng, Y
Lambiotte, R
Fan, J
Nature Communications
(13 Jul 2026)
It's that moment again, when you find out you haven't won a Fields Medal.
The International Congress of Mathematicians (ICM), held every four years, is in Philadelphia next week and you can watch with colleagues as we are streaming the opening ceremony in L3 from just before 2 p.m (when the medals are announced). As well as the Fields, there are other prestigious medals such as the Chern and the Abacus, so it's well worth a watch.
Height Potentialism
STUDD, J
The Blackwell Companion to the Philosophy of Mathematics
Mon, 26 Oct 2026
14:15
14:15
L4
Metric perturbations of degenerate Z/2-harmonic 1-forms
Andries Salm
((Mathematical Institute University of Oxford))
Abstract
Z/2 harmonic 1-forms are generalizations of harmonic 1-forms that allow topological twisting around a subspace of codimension 2. These objects were introduced by Taubes to compactify the moduli spaces of solutions to generalized Seiberg-Witten equations, and they show up in many other gauge theoretical problems.
Donaldson showed there is a deformation theory for so-called non-degenerate Z/2-harmonic 1-forms. In this presentation we study the deformations of the remaining degenerate solutions. For a natural class of degenerate examples, we prove that after a suitable perturbation of the ambient Riemannian metric, the form can be deformed to a nearby non-degenerate Z/2-harmonic 1-form.