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) doi:10.1017/jfm.2026.11675

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.

Tue, 13 Oct 2026
15:30
L4

In search of theta-stratifications on the stack of curves

Jessica Jackson
(Cambridge)
Abstract

In their recent ICM address, Dan Halpern-Leistner and Jarod Alper posed the question: does the stack of canonically polarized curves admit a theta-stratification whose semistable locus is the moduli space of stable curves? In other, perhaps more familiar, language: is there some notion for curves that understands instability the way Harder-Narasimhan type does for vector bundles/coherent sheaves?

I will explain some joint work with Dave Swinarski that solves the analogous problem for certain rational curves, and then sketch out an argument that I think should solve the problem in general.

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) doi:10.1038/s41467-026-75436-4

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
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