Moduli stacks of Galois representations and the p-adic local Langlands correspondence for GL_2(Q_p)
Johansson, C
Newton, J
Wang-Erickson, C
Compositio Mathematica
The Monty Hall Problem with Becky Crossley. Blew a few minds on social media. There's a longer version with the maths here.
Centrifugal-mirror confinement with strong azimuthal magnetic field
Stoltzfus-Dueck, T
Parra, F
Plasma Physics and Controlled Fusion
volume 67
issue 9
095025
(30 Sep 2025)
Wed, 15 Oct 2025
16:00
16:00
L4
Pointwise bounds for 3-torsion (note: Wednesday)
Stephanie Chan
(UCL)
Abstract
For $\ell$ an odd prime number and $d$ a squarefree integer, a notable problem in arithmetic statistics is to give pointwise bounds for the size of the $\ell$-torsion of the class group of $\mathbb{Q}(\sqrt{d})$. This is in general a difficult problem, and unconditional pointwise bounds are only available for $\ell = 3$ due to work of Pierce, Helfgott—Venkatesh and Ellenberg—Venkatesh. The current record due to Ellenberg—Venkatesh is $h_3(d) \ll_\epsilon d^{1/3 + \epsilon}$. We will discuss how to improve this to $h_3(d) \ll d^{0.32}$. This is joint work with Peter Koymans.