Peter Sarnak
Impact in
- Algebra and Number Theory top 0.1%
- Analytic Number Theory Research
- Advanced Mathematical Identities
- Mathematical Physics top 0.05%
- Advanced Algebra and Geometry
- Mathematical Dynamics and Fractals
Papers in
-
- Advanced Algebra and Geometry 49
- Mathematical Dynamics and Fractals 17
-
- Analytic Number Theory Research 56
- Advanced Mathematical Identities 23
- Co-authors
- Ralph S. Phillips (17 shared papers)Zeév Rudnick (9 shared papers)Alexander Lubotzky (4 shared papers)Nicholas M. Katz (1 shared paper)Henryk Iwaniec (5 shared papers)Wenzhi Luo (6 shared papers)Brad Osgood (4 shared papers)Nicholas Katz (1 shared paper)
- Journals
- Inventiones mathematicae (9 papers)Communications in Mathematical Physics (6 papers)Communications on Pure and Applied Mathematics (6 papers)Duke Mathematical Journal (6 papers)Acta Mathematica (5 papers)
- Partner nations
- United StatesIsraelSweden
In The Last Decade
Peter Sarnak
109 papers receiving 4.9k citations
Peter Sarnak's 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-authors
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
Showing the 20 most-cited of 114 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Ramanujan graphs Hit paper breakdown → | 1988 | 566 |
| 2 | 1998 | 343 | |
| 3 | 1996 | 286 | |
| 4 | 1988 | 274 | |
| 5 | 1999 | 225 | |
| 6 | 2000 | 205 | |
| 7 | 1994 | 176 | |
| 8 | 1990 | 163 | |
| 9 | 1987 | 143 | |
| 10 | 1993 | 130 | |
| 11 | 2001 | 122 | |
| 12 | 1986 | 114 | |
| 13 | 1988 | 101 | |
| 14 | 1994 | 98 | |
| 15 | 1995 | 93 | |
| 16 | 2001 | 90 | |
| 17 | 1986 | 90 | |
| 18 | 1982 | 88 | |
| 19 | 1995 | 85 | |
| 20 | 1993 | 84 |
About Peter Sarnak
Peter Sarnak is a scholar working on Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Discrete Mathematics and Combinatorics and Applied Mathematics, 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 Analysis and Curvature Flows (8 papers). The work is most often cited by research in Algebra and Number Theory (2.7k citations), Mathematical Physics (3.5k citations), Discrete Mathematics and Combinatorics (1.2k citations), Geometry and Topology (2.5k citations) and Applied Mathematics (866 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.