2026 Zeév Rudnick: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	43	1736	1506	29	26	115	5625

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1736

1506

115

5625

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Zeév Rudnick is affiliated with Tel Aviv University in Israel and has contributed extensively to the field of Mathematics. Their research spans a range of subfields including Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Artificial Intelligence, and Statistical and Nonlinear Physics.

The main topics covered in their work include:

Mathematical Dynamics and Fractals
Quantum chaos and dynamical systems
Geometry and complex manifolds
Analytic Number Theory Research
Coding theory and cryptography
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory

Rudnick has published multiple papers in highly regarded venues. Some recent notable publications are:

GOE statistics on the moduli space of surfaces of large genus, 2023, Geometric and Functional Analysis
The metric theory of the pair correlation function for small non-integer powers, 2022, Journal of the London Mathematical Society
On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus, 2023, Journal d'Analyse Mathématique
Gaussian primes in almost all narrow sectors, 2020, Acta Arithmetica
The quantum Rabi model: towards Braak's conjecture, 2024, Journal of Physics A Mathematical and Theoretical

Frequent co-authors collaborating with Rudnick include:

Igor Wigman
Igor E. Shparlinski
Niclas Technau
Svetlana Jitomirskaya
Tom Dvir

Rudnick's publications appear regularly in several key venues such as:

arXiv (Cornell University)
Journal of Physics A Mathematical and Theoretical
Communications in Mathematical Physics
Journal of Mathematical Physics
Geometric and Functional Analysis

In recognition of their contributions, Rudnick was named a Fellow of the American Mathematical Society in 2013.

Best Publications

Zeros of principal $L$-functions and random matrix theory

Zeév Rudnick;Zeév Rudnick;Peter Clive Sarnak

728
Citations
The behaviour of eigenstates of arithmetic hyperbolic manifolds

Zeév Rudnick;Peter Sarnak

453
Citations
Density of integer points on affine homogeneous varieties

W. Duke;Z. Rudnick;Z. Rudnick;Peter Clive Sarnak

345
Citations
ON SELBERG'S EIGENVALUE CONJECTURE

Wenzhi Luo;Zeév Rudnick;Zeév Rudnick;Peter Sarnak

230
Citations
The Pair Correlation Function of Fractional Parts of Polynomials

Zeév Rudnick;Peter Sarnak

181
Citations
Hecke theory and equidistribution for the quantization of linear maps of the torus

Pär Kurlberg;Zeév Rudnick

131
Citations
Linear statistics of low-lying zeros of L-functions

C. P. Hughes;Z. Rudnick

124
Citations
The distribution of spacings between the fractional parts of n2α

Zeév Rudnick;Peter Clive Sarnak;Alexandra Zaharescu

123
Citations
On the Volume of Nodal Sets for Eigenfunctions of the Laplacian on the Torus

Zeév Rudnick;Igor Wigman

118
Citations
Traces of high powers of the Frobenius class in the hyperelliptic ensemble

Zeév Rudnick

116
Citations
Lower bounds for moments of L-functions

Z. Rudnick;K. Soundararajan

101
Citations
Eigenvalue Spacings for Regular Graphs

Dmitry Jakobson;Stephen D. Miller;Igor Rivin;Zeév Rudnick

97
Citations
The Leray measure of nodal sets for random eigenfunctions on the torus

Ferenc Oravecz;Ze ´ Ev Rudnick;Igor Wigman

95
Citations
The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes

Jonathan P. Keating;Zeév Rudnick

91
Citations
The distribution of spacings between quadratic residues

Pär Kurlberg;Zeév Rudnick

84
Citations
On the asymptotic distribution of zeros of modular forms

Zeév Rudnick

81
Citations
On Quantum Ergodicity for Linear Maps of the Torus

Pär Kurlberg;Zeév Rudnick

77
Citations
Hardy-Littlewood varieties and semisimple groups

Mikhail Borovoi;Zeév Rudnick

75
Citations
Restriction of toral eigenfunctions to hypersurfaces and nodal sets

Jean Bourgain;Zeév Rudnick

75
Citations
Sums of divisor functions in Fq[t] and matrix integrals

Jon Keating;Brad Rodgers;Edva Roditty-Gershon;Zeev Rudnick

75
Citations
Equidistribution in number theory, an introduction

Andrew Granville;Zeév Rudnick

26
Citations

Frequent Co-Authors

Jean Bourgain Institute for Advanced Study

Peter Sarnak Princeton University

Jon P Keating University of Oxford

Jens Marklof University of Bristol

Kannan Soundararajan Stanford University

Leonid Polterovich Tel Aviv University

Andrew Granville University of Montreal

Alex Eskin University of Chicago

Umberto Zannier Scuola Normale Superiore di Pisa

William Duke University of California, Los Angeles

External Links

Wikipedia of Zeév Rudnick Personal website of Zeév Rudnick Google Scholar page

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