Mon, 03 Feb 2025
16:00
C6

Progress towards the Keating-Snaith conjecture for quadratic twists of elliptic curves

Nathan Creighton
(University of Oxford)
Abstract

The Keating-Snaith conjecture for quadratic twists of elliptic curves predicts the central values should have a log-normal distribution. I present recent progress towards establishing this in the range of large deviations of order of the variance. This extends Selberg’s Central Limit Theorem from ranges of order of the standard deviation to ranges of order of the variance in a variety of contexts, inspired by random walk theory. It is inspired by recent work on large deviations of the zeta function and central values of L-functions.
 

A reminder that you can find a full list of events around the University (and there are loads and loads) including Kabuki Legends, a series of stencil prints by Japanese artist Takahashi Hiromitsu (including Dancing Cranes below) at the Ashmolean.

Full list

The Careers Service offers dozens of careers and employability events in Hilary term, including guest speaker talks, application and interview support sessions, and internship guidance, and you can also explore a range of sectors at the Creative Careers Festival (4th Week).

Find out more

Image: The Supper at Emmaus - Caravaggio

There are more than 300 spring micro-internships available exclusively to undergraduate and postgraduate students at Oxford University through the Careers Service's Micro-Internship Programme. Micro-internships are voluntary learning and development opportunities, last 2 to 5 days, and can take place in person or remotely between 17-21 March or 24-28 March. 

Free field realisation of boundary vertex algebras for Abelian gauge theories in three dimensions
Beem, C Communications in Mathematical Physics
A continuum model for the elongation and orientation of Von Willebrand
Factor with applications in arterial flow
Yeo, E Oliver, J Korin, N Waters, S (24 Nov 2023) http://arxiv.org/abs/2311.14413v1
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion
Carrillo de la Plata, J Estrada-Rodriguez, G Mikolás, L Tang, S Mathematical Models and Methods in Applied Sciences (07 Feb 2025)
Subscribe to