ERC Consolidator Grant · 2025
New structures in primes and Diophantine approximation
Prime numbers have fascinated mathematicians for centuries, and have given rise to some of the oldest and most notorious open problems. Despite their central status, many fundamental aspects of the primes remain beyond the reach of current techniques. This project aims to make progress on central questions related to the distribution of primes. The goal is to develop new versatile techniques that can provide inroads to the fundamental problems at the heart of the subject, building on recent breakthroughs of the PI. There are two key approaches to studying the distribution of primes. ‘Multiplicative’ techniques relate structured questions to the zeros of an L-function. The strength of…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.