Zeev Rudnick

Zeev Rudnick or Ze'ev Rudnick (; born 1961 in Haifa, Israel) is a mathematician, specializing in number theory and in mathematical physics, notably quantum chaos. Rudnick is a professor at the School of Mathematical Sciences and the Cissie and Aaron Beare Chair in Number Theory at Tel Aviv University.

Education Rudnick received his PhD from Yale University in 1990 under the supervision of Ilya Piatetski-Shapiro and Roger Evans Howe.

Career Rudnick joined Tel Aviv University in 1995, after working as an assistant professor at Princeton and Stanford. In 2003–04 Rudnick was a Leverhulme visiting professor at the University of Bristol and in 2008–2010 and 2015–2016 he was a member of the Institute for Advanced Study at Princeton.

In 2012, Rudnick was inducted as a fellow of the American Mathematical Society.

Research

Rudnick has been studying different aspects of quantum chaos and number theory. He has contributed to one of the discoveries concerning the Riemann zeta function, namely, that the Riemann zeros appear to display the same statistics as those which are believed to be present in energy levels of quantum chaotic systems and described by random matrix theory. Together with Peter Sarnak, he has formulated the Quantum Unique Ergodicity conjectures for eigenfunctions on negatively curved manifolds, and has investigated the question arising from Quantum Chaos in other arithmetic models such as the Quantum Cat map (with Par Kurlberg) and the flat torus (with CP Hughes and with Jean Bourgain). Another interest is the interface between function field arithmetic and corresponding problems in number fields.

Education

Ph.D., 1990, Yale University. M.Sc., 1985, The Hebrew University, Jerusalem. B.Sc., 1984, Bar-Ilan University, Ramat Gan.

Awards and fellowships

ERC Advanced Grants, 1.7 million euro, 2013–2018., 2019–2024. Erdős Prize of the Israel Mathematical Union, 2001. Alon Fellow, 1995. Sloan Foundation Doctoral Dissertation Fellowship, 1989–1990.

Selected works

Z. Rudnick, What is Quantum Chaos? , Notices of the AMS, 55 number 1 (2008), 32–34.