The Radcliffe Science Library has received feedback from our postdocs community asking for themed networking events. As 2025 has been declared the International year of Quantum Science and Technology, the Radcliffe Science Library is organising a talk and social event on the theme of quantum.
Congratulations to Cornelia who has also been invited to spend the next academic year as a Visiting Scientist at Max Planck Institute for Mathematics in Bonn.
You can read more about the roles and Cornelia's mathematical story in this excellent article on the Exeter College website.
16:00
Hoheisel's theorem on primes in short intervals via combinatorics
Abstract
Hoheisel's theorem states that there is some $\delta> 0$ and some $x_0>0$ such that for all $x > x_0$ the interval $[x,x+x^{1-\delta}]$ contains prime numbers. Classically this is proved using the Riemann zeta function and results about its zeros such as the zero-free region and zero density estimates. In this talk I will describe a new elementary proof of Hoheisel's theorem. This is joint work with Kaisa Matomäki (Turku) and Joni Teräväinen (Cambridge). Instead of the zeta function, our approach is based on sieve methods and ideas coming from additive combinatorics, in particular, the transference principle. The method also gives an L-function free proof of Linnik's theorem on the least prime in arithmetic progressions.
British Society for the History of Mathematics: 'Research in Progress'
Shulman Auditorium, The Queen's College, Saturday 22nd February 2025
This is the BSHM's annual day of talks by research students in the history of mathematics, rounded off this year by an invited lecture by Norbert Schappacher (Strasbourg).