Peter Sarnak
- Algebra and Number Theory top 0.1%
- Analytic Number Theory Research 56
- Advanced Mathematical Identities 23
- Mathematical Physics top 0.05%
- Advanced Algebra and Geometry 49
- Mathematical Dynamics and Fractals 17
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- Finite Group Theory Research 20
- Geometry and Topology top 0.05%
- Algebraic Geometry and Number Theory 22
- Geometric and Algebraic Topology 8
- Applied Mathematics top 0.5%
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- Quantum chaos and dynamical systems 12
- Co-authors
- Ralph S. PhillipsZeév RudnickAlexander LubotzkyNicholas M. KatzHenryk IwaniecWenzhi LuoBrad OsgoodNicholas Katz
- Journals
- Inventiones mathematicae (9 papers)Communications in Mathematical Physics (6 papers)Communications on Pure and Applied Mathematics (6 papers)
- Partner nations
- United StatesIsraelSweden
In The Last Decade
Peter Sarnak
109 papers receiving 4.9k citations
Hit Papers
Peers
Comparison fields: 5 of 92
- Algebra and Number Theory 2.7k
- Mathematical Physics 3.5k
- Discrete Mathematics and Combinatorics 1.2k
- Geometry and Topology 2.5k
- Applied Mathematics 866
Countries citing papers authored by Peter Sarnak
This map shows the geographic impact of Peter Sarnak's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Sarnak with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Sarnak more than expected).
Fields of papers citing papers by Peter Sarnak
This network shows the impact of papers produced by Peter Sarnak. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Sarnak. The network helps show where Peter Sarnak may publish in the future.
Co-authorship network
The 25 scholars most cited alongside Peter Sarnak, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2024 | 0 | |
| 2 | Remembering Paul Cohen (1934-2007) | 2010 | 0 |
| 3 | Linking Numbers of Modular Knots | 2010 | 6 |
| 4 | 2009 | 11 | |
| 5 | Spectral gap for products of $\PSL(2,\bbR)$ | 2008 | 1 |
| 6 | 2007 | 26 | |
| 7 | What is . . . An expander | 2004 | 34 |
| 8 | 1999 | 34 | |
| 9 | 1998 | 343 | |
| 10 | 1997 | 15 | |
| 11 | A celebration of John F. Nash, Jr. | 1996 | 1 |
| 12 | The n-level correlations of zeros of the zeta function | 1994 | 13 |
| 13 | 1992 | 27 | |
| 14 | 1992 | 26 | |
| 15 | 1991 | 6 | |
| 16 | 1990 | 163 | |
| 17 | 1988 | 274 | |
| 18 | 1988 | 101 | |
| 19 | 1985 | 76 | |
| 20 | Explicit solutions of $\square u = 0$ on the Friedmann-Robertson-Walker space-times | 1981 | 8 |
About Peter Sarnak
Peter Sarnak is a scholar working on Algebra and Number Theory, Mathematical Physics and Discrete Mathematics and Combinatorics, having authored 114 papers that have together received 5.8k indexed citations. Recurring topics across this work include Analytic Number Theory Research (56 papers), Advanced Algebra and Geometry (49 papers), Advanced Mathematical Identities (23 papers), Algebraic Geometry and Number Theory (22 papers), Finite Group Theory Research (20 papers), Mathematical Dynamics and Fractals (17 papers), Quantum chaos and dynamical systems (12 papers) and Geometric and Algebraic Topology (8 papers). The work is most often cited by research in Algebra and Number Theory (2.7k citations), Mathematical Physics (3.5k citations) and Discrete Mathematics and Combinatorics (1.2k citations). Peter Sarnak has collaborated with scholars based in United States, Israel and Sweden. Frequent co-authors include Ralph S. Phillips, Zeév Rudnick, Alexander Lubotzky, Nicholas M. Katz, Henryk Iwaniec, Wenzhi Luo, Brad Osgood, Nicholas Katz, Alex Gamburd and Michael Rubinstein. Their work appears in journals such as Inventiones mathematicae, Communications in Mathematical Physics, Communications on Pure and Applied Mathematics, Duke Mathematical Journal and Acta Mathematica.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.