2026 Peter Sarnak: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	68	313	260	174	135	187	17363

Research.com Recognitions

2018 - Fellow of the American Mathematical Society For contributions to number theory and analysis.
2014 - Wolf Prize in Mathematics for his deep contributions in analysis, number theory, geometry, and combinatorics.
2013 - Member of Academia Europaea
2005 - Frank Nelson Cole Prize in Number Theory
2002 - Member of the National Academy of Sciences
2002 - Fellow of the Royal Society, United Kingdom
1998 - George Pólya Prize
1991 - Fellow of the American Academy of Arts and Sciences
1983 - Fellow of Alfred P. Sloan Foundation
Fellow of the Royal Society of South Africa
Fellow of the Royal Society of South Africa
Fellow of the Royal Society of South Africa

Overview

Peter Sarnak is affiliated with Princeton University in the United States and has made contributions primarily in the field of Mathematics. Their research spans various subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Statistics and Probability.

The main areas of study associated with their work include:

Analytic Number Theory Research
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Graph theory and applications
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Limits and Structures in Graph Theory

Their recent publications reflect a consistent focus on number theory, geometry, and graph theory. Selected papers include:

Integral points on Markoff type cubic surfaces, 2022, Inventiones mathematicae
Gap sets for the spectra of cubic graphs, 2021, Communications of the American Mathematical Society
Commutators in SL_2 and Markoff surfaces I, 2022, New Zealand Journal of Mathematics
Remembering Jean Bourgain (1954-2018), 2021, Notices of the American Mathematical Society
A universal lower bound for certain quadratic integrals of automorphic L-functions, 2022, arXiv (Cornell University)

Frequent co-authors include:

Amit Ghosh
Laurent Clozel
Chen Meiri
Nina Zubrilina
Evita Nestoridi

Publication venues where Peter Sarnak has appeared multiple times include:

arXiv (Cornell University)
Inventiones mathematicae
Communications of the American Mathematical Society
Journal of Number Theory
New Zealand Journal of Mathematics

Peter Sarnak has received several awards and honors over the course of their career, such as:

Fellow of the American Mathematical Society (2018) for contributions to number theory and analysis
Wolf Prize in Mathematics (2014) for deep contributions in analysis, number theory, geometry, and combinatorics
Member of Academia Europaea (2013)
Frank Nelson Cole Prize in Number Theory (2005)
Member of the National Academy of Sciences (2002)
Fellow of the Royal Society, United Kingdom (2002)
George Pólya Prize (1998)
Fellow of the American Academy of Arts and Sciences (1991)
Fellow of Alfred P. Sloan Foundation (1983)
Fellow of the Royal Society of South Africa

Best Publications

Random matrices, Frobenius eigenvalues, and monodromy

Nicholas M. Katz;Peter Sarnak

1105
Citations
Zeros of principal $L$-functions and random matrix theory

Zeév Rudnick;Zeév Rudnick;Peter Clive Sarnak

728
Citations
Zeroes of zeta functions and symmetry

Nicholas Michael Katz;Peter Clive Sarnak

667
Citations
Extremals of determinants of Laplacians

B Osgood;R Phillips;P Sarnak

599
Citations
Elementary number theory, group theory, and Ramanujan graphs

Giuliana Davidoff;Peter Sarnak;Alain Valette

495
Citations
Low lying zeros of families of L-functions

Henryk Iwaniec;Wenzhi Luo;Peter Sarnak

489
Citations
The behaviour of eigenstates of arithmetic hyperbolic manifolds

Zeév Rudnick;Peter Sarnak

453
Citations
Some Applications of Modular Forms

Peter Sarnak

364
Citations
Determinants of Laplacians

Peter Clive Sarnak

345
Citations
Density of integer points on affine homogeneous varieties

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

345
Citations
Chebyshev's bias

Michael Rubinstein;Peter Clive Sarnak

325
Citations
Perspectives on the Analytic Theory of L-Functions

H. Iwaniec;P. Sarnak

325
Citations
$L^\infty$ norms of eigenfunctions of arithmetic surfaces

Henryk Iwaniec;Peter Sarnak

319
Citations
Ramanujan graphs

Unknown

307
Citations
On the period matrix of a Riemann surface of large genus (with an Appendix by J.H. Conway and N.J.A. Sloane)

Peter Buser;P. Sarnak

279
Citations
Affine linear sieve, expanders, and sum-product

Jean Bourgain;Alex Gamburd;Peter Sarnak

252
Citations
The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros

Henryk Iwaniec;Peter Clive Sarnak

251
Citations
Quantum ergodicity of Eigenfunctions on PSL2(Z)/H 2

Wenzhi Luo;Peter Sarnak

248
Citations
Bounds for multiplicities of automorphic representations

Peter Clive Sarnak;Xiaoxi Xue

243
Citations
Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity

Peter Clive Sarnak

240
Citations
ON SELBERG'S EIGENVALUE CONJECTURE

Wenzhi Luo;Zeév Rudnick;Zeév Rudnick;Peter Sarnak

230
Citations

Frequent Co-Authors

Zeév Rudnick Tel Aviv University

Jean Bourgain Institute for Advanced Study

Nicholas M. Katz Princeton University

Henryk Iwaniec Rutgers, The State University of New Jersey

Andrew Houck Princeton University

Alexander Lubotzky Weizmann Institute of Science

Roger Howe Texas A&M University

Elon Lindenstrauss Hebrew University of Jerusalem

Helge Holden Norwegian University of Science and Technology

Alex Eskin University of Chicago

External Links

Wikipedia of Peter Sarnak Personal website of Peter Sarnak

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