Zeev Rudnick

File:Prof. Zeev Rudnick.tif

Zeev Rudnick

Born|

Haifa, Israel

Alma mater| Yale University

Hebrew University of Jerusalem

Bar-Ilan University
Awards|

* Erdős Prize (2001)
* Fellow of the American Mathematical Society (2012)

Scientific career
Fields| Mathematics
Institutions| Tel Aviv University
Doctoral advisor| Ilya Piatetski-Shapiro

Roger Evans Howe

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.

## Contents

* 1 Education
* 2 Career
* 3 Research
* 4 Selected works
* 5 References
* 6 External links

## Education

Rudnick received his PhD from Yale University in 1990 under the supervision of Ilya Piatetski-Shapiro and Roger Evans Howe.[1]

## Career

Rudnick joined Tel Aviv University in 1995, after working as an assistant professor at Princeton and Stanford. In 2003–4 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.[2]

## 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.Cite error: Closing `</ref>` missing for `<ref>` tag, 2019–2024.[3]

* Fellow of the American Mathematical Society, 2012–.
* Annales Henri Poincaré Distinguished Paper Award for the year, 2011.[4]
* Erdős Prize of the Israel Mathematical Union, 2001.
* Alon Fellow, 1995.
* Sloan Foundation Doctoral Dissertation Fellowship, 1989–1990.

## Selected works

* Duke, William; Rudnick, Zeev; Sarnak, Peter (1993). "Density of integer points on affine homogeneous varieties". Duke Mathematical Journal 71: 143–179. doi:10.1215/S0012-7094-93-07107-4.
* Z. Rudnick, P. Sarnak, The behaviour of eigenstates of arithmetic hyperbolic manifolds, Comm. in Math. Physics 161, 195–213 (1994).
* W. Luo, Z. Rudnick and P. Sarnak, On Selberg's eigenvalue conjecture, Geom. and Func. Analysis 5 (1995), 387–401.
* Z. Rudnick and P. Sarnak, Zeros of principal L-functions and random matrix theory, Duke Mathematical Journal 81 (1996), 269–322 (special volume in honor of J. Nash).
* P. Kurlberg and Z. Rudnick, Hecke theory and equidistribution for the quantization of linear maps of the torus, Duke Mathematical Journal 103 (2000), 47–78.
* Z. Rudnick and K. Soundararajan, Lower bounds for moments of L-functions, Proc. of the National Academy of Sciences of the USA, 102 (19), (May 10, 2005), 6837–6838.
* Z. Rudnick, What is Quantum Chaos?, Notices of the AMS, 55 number 1 (2008), 32–34.
* J. Bourgain and Z. Rudnick, Restriction of toral eigenfunctions to hypersurfaces, C.R. Math. Acad. Sci. Paris 347 (2009), no 21–22, 1249–1253.
* Jonathan P. Keating and Zeev Rudnick, The variance of the number of prime polynomials in short intervals and in residue classes. International Mathematics Research Notices 2012; doi: 10.1093/imrn/rns220.
* Alexei Entin, Edva Roditty-Gershon and Zeev Rudnick, Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory, Geom. Funct. Anal. 23 (2013), no. 4, 1230–1261. doi:10.1007/s00039-013-0241-8

## References

1. ↑ Zeev Rudnick at the Mathematics Genealogy Project
2. ↑ List of Fellows of the American Mathematical Society
3. ↑ Cite error: Invalid `<ref>` tag; no text was provided for refs named `:0`
4. ↑ AHP Prizes and Distinguished Papers

## External links

* Zeev Rudnick's homepage
* Articles by Zeev Rudnick on the Arxiv
* Reviews of publications by Zeev Rudnick by the American Mathematical Society

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