Global minimizers for fast diffusion versus nonlocal interactions on negatively curved manifolds
 Carrillo, J Fetecau, R Park, H Advances in Calculus of Variations (29 Aug 2026)
$G_2$-Manifolds from 4d $\mathcal{N}=1$ Quivers
 Braun, A Lewis, O Sacchi, M Schafer-Nameki, S (21 Aug 2026)
Proliferation Transitions for Non-Abelian Anyons
 Schafer-Nameki, S Zheng, Y Antinucci, A (21 Aug 2026)

Short stories 3 - Perfect numbers

Oh, it's such a perfect number. I want to count it with you.

All part of Robin Wilson's 18-part series on the equations that add up to mathematics.

PS: we would also like to apologise for a slip of the tongue at 1.17 when Robin says 2 to the n is prime when he obviously means 2 to the n-1. However, the graphic is correct. Admin has been sacked (by Admin).

Short stories 2 - Once upon a time

Apologies for mentioning the Odyssey (no, not the film), but what can Homer's oral masterpiece teach us about engaging with the general public about science?

The motivic Lie algebra embeds into the cohomology of the general linear group
 Brown, F Panzer, E Portner, J (31 Jul 2026)
Almost sure path localisation for the derivative martingale of branching Brownian motion
 Berestycki, J Chataignier, L Flath, G (07 Aug 2026)
Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with Large Initial Data of Spherical Symmetry.
 Carrillo, J Charles, S Chen, G Yuan, D Commun Math Phys volume 407 issue 10 209 (2026) https://www.ncbi.nlm.nih.gov/pubmed/42668740
Correction: Interest rate models in decentralised lending protocols
 Cohen, S Sánchez-Betancourt, L Szpruch, Ł Digital Finance volume 8 issue 3 47 (14 Sep 2026)
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