Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

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Number Theory Seminar: Julia Stadlmann (UIUC)

Sep 15, 2026 11:00 am

Sidney Lu MEB 3101

Seminar/Symposium

Sponsor: Department of Mathematics
Speaker: Julia Stadlmann
Contact: Julia Stadlmann
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Originating Calendar: General Events - Department of Mathematics; Title: Bounded gaps between primes
Abstract: The Polymath project proved that there are infinitely many prime gaps which are no larger than 246. In this talk I will discuss how the Bombieri-Vinogradov theorem can be combined with newer equidistribution estimates for smooth moduli to obtain an improvement on this result. A key ingredient is a new choice of support for the functions appearing in the corresponding optimization problem for the GPY sieve. To choose this support, we produce various equidistribution conditions for moduli with a large smooth factor, and reduce the calculation of relevant integrals to repeated matrix multiplication.

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