Biography:Zeev Rudnick

Short description: Israeli mathematician

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.

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 2003–4 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.

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., 2019–2024.

• Fellow of the American Mathematical Society, 2012–.
• Annales Henri Poincaré Distinguished Paper Award for the year, 2011.
• 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

External links

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