Zeev Rudnick

זאב רודניק

File:Prof. Zeev Rudnick.tif

Zeev Rudnick

Born| 1961 (age 64-65)

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 (Hebrew: זאב רודניק; 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 2003–04 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.[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.
* Rudnick, Zeév; Sarnak, Peter (1994). "The behaviour of eigenstates of arithmetic hyperbolic manifolds". Communications in Mathematical Physics 161 (1): 195–213. doi:10.1007/BF02099418. ISSN 0010-3616. http://link.springer.com/10.1007/BF02099418. Retrieved 20 March 2026.
* Luo, Wenzhi; Rudnick, Zeév; Sarnak, Peter (1995). "On Selberg’s Eigenvalue Conjecture". Geometries in Interaction. Basel: Birkhäuser Basel. doi:10.1007/978-3-0348-9102-8_9. ISBN 978-3-0348-9907-9. http://link.springer.com/10.1007/978-3-0348-9102-8_9. Retrieved 20 March 2026.
* Rudnick, Zeév; Sarnak, Peter (1 January 1996). "Zeros of principal L-functions and random matrix theory". Duke Mathematical Journal 81 (2). doi:10.1215/S0012-7094-96-08115-6. ISSN 0012-7094. https://projecteuclid.org/journals/duke-mathematical-journal/volume-81/issue-2/Zeros-of-principal-L-functions-and-random-matrix-theory/10.1215/S0012-7094-96-08115-6.full. Retrieved 20 March 2026.
* Kurlberg, Pär; Rudnick, Zeév (15 May 2000). "Hecke theory and equidistribution for the quantization of linear maps of the torus". Duke Mathematical Journal 103 (1). doi:10.1215/S0012-7094-00-10314-6. ISSN 0012-7094. https://projecteuclid.org/journals/duke-mathematical-journal/volume-103/issue-1/Hecke-theory-and-equidistribution-for-the-quantization-of-linear-maps/10.1215/S0012-7094-00-10314-6.full. Retrieved 20 March 2026.
* Rudnick, Z.; Soundararajan, K. (10 May 2005). "Lower bounds for moments of L -functions". Proceedings of the National Academy of Sciences 102 (19): 6837–6838. doi:10.1073/pnas.0501723102. ISSN 0027-8424. PMID 15867148.
* Z. Rudnick, What is Quantum Chaos? , Notices of the AMS, 55 number 1 (2008), 32–34.
* Bourgain, Jean; Rudnick, Zeév (1 October 2009). "Restriction of toral eigenfunctions to hypersurfaces". Comptes Rendus. Mathématique 347 (21–22): 1249–1253. doi:10.1016/j.crma.2009.08.008. ISSN 1631-073X. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.08.008/. Retrieved 20 March 2026.
* Keating, Jonathan P.; Rudnick, Zeév (2014). "The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes". International Mathematics Research Notices 2014 (1): 259–288. doi:10.1093/imrn/rns220. ISSN 1687-0247. https://academic.oup.com/imrn/article-lookup/doi/10.1093/imrn/rns220. Retrieved 20 March 2026.
* Entin, Alexei; Roditty-Gershon, Edva; Rudnick, Zeév (2013). "Low-lying Zeros of Quadratic Dirichlet L-Functions, Hyper-elliptic Curves and Random Matrix Theory". Geometric and Functional Analysis 23 (4): 1230–1261. doi:10.1007/s00039-013-0241-8. ISSN 1016-443X. http://link.springer.com/10.1007/s00039-013-0241-8. Retrieved 20 March 2026.

## References

1. ↑ Zeev Rudnick at the Mathematics Genealogy Project
2. ↑ "List of Fellows of the American Mathematical Society". http://www.ams.org/profession/fellows-list.
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

0.00

(0 votes)

Original source: https://en.wikipedia.org/wiki/Zeev Rudnick. Read more

|

Retrieved from "https://handwiki.org/wiki/index.php?title=Biography:Zeev_Rudnick&oldid=4295650"