Global sections of equivariant line bundles on the $p$-adic upper half plane
Ardakov, K
Wadsley, S
(19 Dec 2023)
Our 2024 Oxford Mathematics Public Lectures kick off logarithmically next month with Oliver Johnson describing the history and importance of logarithms in our lives.
Until then, how about 77 online lectures and discussions including the likes of Stephen Hawking, Jim Al-Khalili, Hannah Fry, Carlo Rovelli, Sarah Hart and Andrew Wiles;
When his record company told avant-garde musician Anthony Moore that his work was not commercial enough he wasn't happy. Or rather he was Slapp Happy, the name he gave to his new band with their deliberately commercial sound. The band became less commercial subsequently but not before songs such as 'Blue Flower' bloomed. Dagmar Krause provides the distinctive voice.
Fast randomized numerical rank estimation for numerically low-rank matrices
Meier, M
Nakatsukasa, Y
Linear Algebra and Its Applications
volume 686
1-32
(08 Jan 2024)
Transient amplification of broken symmetry in elastic snap-through
Wang, Q
Giudici, A
Huang, W
Wang, Y
Liu, M
Tawfick, S
Vella, D
(21 Dec 2023)
http://arxiv.org/abs/2312.13908v1
Exploiting dynamic bifurcation in elastic ribbons for mode skipping and
selection
Huang, W
Yu, T
Vella, D
Hsia, K
Liu, M
(25 Dec 2023)
http://arxiv.org/abs/2312.15699v1
selection
Thu, 15 Feb 2024
15:00
15:00
Lecture Room 4, Mathematical Institute
Goldbach beyond the square-root barrier
Jared Duker Lichtman
(Stanford)
Abstract
We show the primes have level of distribution 66/107 using triply well-factorable weights. This gives the highest level of distribution for primes in any setting, improving on the prior record level 3/5 of Maynard. We also extend this level to 5/8, assuming Selberg's eigenvalue conjecture. As a result, we obtain new upper bounds for twin primes and for Goldbach representations of even numbers $a$. For the Goldbach problem, this is the first use of a level of distribution beyond the 'square-root barrier', and leads to the greatest improvement on the problem since Bombieri--Davenport from 1966.
The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries
Bhardwaj, L
Bottini, L
Pajer, D
Schafer-Nameki, S
(28 Dec 2023)
Qualitative analysis of reaction-diffusion systems modelling coupled unmyelinated nerve axons.
Grindrod, P
Sleeman, B
IMA journal of mathematics applied in medicine and biology
volume 1
issue 3
289-307
(Jan 1984)
Comparison principles in the analysis of reaction-diffusion systems modelling unmyelinated nerve fibres.
Grindrod, P
Sleeman, B
IMA journal of mathematics applied in medicine and biology
volume 1
issue 4
343-363
(Jan 1984)