Beyond uniform distribution

Modern Mathematics Lecture Series

Time

Thursday, 16:00-17:00

April 17, 2025

Venue

B725

Shuangqing Complex Building A

清华大学双清综合楼A座B725

Online

Zoom Meeting ID: 271 534 5558

Passcode: YMSC

Speaker

Zeev Rudnick

Tel Aviv University

Zeev Rudnick is the Cissie and Aaron Beare Chair in Number Theory at Tel Aviv University, specializing in Number Theory and Quantum Chaos. Prior to his appointment at Tel Aviv in 1995, he was an Assistant Professor at Princeton and in Stanford. He received his PhD from Yale in 1990. He was awarded the Erdos prize of the Israel Mathematical Union (2001), appointed a Fellow of the American Mathematical Society, 2012-, and awarded ERC Advanced Grants in 2013 and 2019.

He was a 45-minute Invited Speaker at ICM in Seoul (2014), the Aisenstadt Chair, CRM Montreal (2014), the David Rees Distinguished Visiting Fellow, University of Exeter, 2017, the Heilbronn Distinguished Visiting Professor, University of Bristol, 2019. He is the Executive Editor of the journal International Mathematics Research Notices (IMRN), published by Oxford University Press.

About the lecture 

Beyond uniform distribution

Abstract

The study of uniform distribution of sequences is more than a century old, with pioneering work by Hardy and Littlewood, Weyl, van der Corput and others. More recently, the focus of research has shifted to much finer quantities, such as the distribution of nearest neighbor gaps and the pair correlation function. Examples of interesting sequences for which these quantities have been studied include the zeros of the Riemann zeta function, energy levels of quantum systems, and more. In this expository talk, I will discuss what is known and discuss the many outstanding problems that this theory has to offer.