Alan Weinstein
Impact in
- Algebra and Number Theory top 0.5%
- Advanced Topics in Algebra
- Mathematical Physics top 0.2%
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
Papers in
-
- Homotopy and Cohomology in Algebraic Topology 27
- Advanced Algebra and Geometry 13
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- Algebraic structures and combinatorial models 10
- Geometric and Algebraic Topology 9
- Geometry and complex manifolds 8
- Co-authors
- Jerrold E. Marsden (7 shared papers)Tudor S. Raţiu (4 shared papers)Darryl D. Holm (2 shared papers)Ping Xu (2 shared papers)S. M. Bates (1 shared paper)Michael Kinyon (1 shared paper)Kentaro Mikami (1 shared paper)Jędrzej Śniatycki (2 shared papers)
- Journals
- Bulletin of the American Mathematical Society (6 papers)Letters in Mathematical Physics (5 papers)Inventiones mathematicae (3 papers)Communications on Pure and Applied Mathematics (3 papers)Communications in Mathematical Physics (3 papers)
- Partner nations
- United StatesSwitzerlandChina
In The Last Decade
Alan Weinstein
61 papers receiving 3.7k citations
Alan Weinstein's Hit Papers
Peers
Comparison fields: 5 of 77
- Algebra and Number Theory 1.1k
- Mathematical Physics 2.1k
- Geometry and Topology 1.8k
- Statistical and Nonlinear Physics 1.7k
- Applied Mathematics 530
Countries citing papers authored by Alan Weinstein
This map shows the geographic impact of Alan Weinstein'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 Alan Weinstein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alan Weinstein more than expected).
Fields of papers citing papers by Alan Weinstein
This network shows the impact of papers produced by Alan Weinstein. 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 Alan Weinstein. The network helps show where Alan Weinstein may publish in the future.
Co-authors
The 25 scholars most cited alongside Alan Weinstein, 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 61 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Nonlinear stability of fluid and plasma equilibria Hit paper breakdown → | 1985 | 614 |
| 2 | The local structure of Poisson manifolds Hit paper breakdown → | 1983 | 593 |
| 3 | 1977 | 312 | |
| 4 | 1971 | 312 | |
| 5 | Manin triples for Lie bialgebroids Hit paper breakdown → | 1997 | 265 |
| 6 | 1973 | 244 | |
| 7 | 1984 | 203 | |
| 8 | 1987 | 147 | |
| 9 | 1988 | 123 | |
| 10 | 1978 | 105 | |
| 11 | 1979 | 91 | |
| 12 | 1973 | 90 | |
| 13 | Lectures on the geometry of quantization | 1995 | 86 |
| 14 | 2001 | 75 | |
| 15 | Hamiltonian systems with symmetry, coadjoint orbits and plasma physics | 1983 | 61 |
| 16 | 1981 | 56 | |
| 17 | 1988 | 52 | |
| 18 | 1978 | 50 | |
| 19 | 1983 | 49 | |
| 20 | 1996 | 49 |
About Alan Weinstein
Alan Weinstein is a scholar working on Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Statistical and Nonlinear Physics and Applied Mathematics, having authored 61 papers that have together received 4.2k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (27 papers), Advanced Topics in Algebra (20 papers), Advanced Algebra and Geometry (13 papers), Nonlinear Waves and Solitons (11 papers), Algebraic structures and combinatorial models (10 papers), Geometric and Algebraic Topology (9 papers), Geometry and complex manifolds (8 papers) and Quantum chaos and dynamical systems (6 papers). The work is most often cited by research in Algebra and Number Theory (1.1k citations), Mathematical Physics (2.1k citations), Geometry and Topology (1.8k citations), Statistical and Nonlinear Physics (1.7k citations) and Applied Mathematics (530 citations). Alan Weinstein has collaborated with scholars based in United States, Switzerland and China. Frequent co-authors include Jerrold E. Marsden, Tudor S. Raţiu, Darryl D. Holm, Ping Xu, S. M. Bates, Michael Kinyon, Kentaro Mikami, Jędrzej Śniatycki, Dmitry Roytenberg and Rudolf Schmid. Their work appears in journals such as Bulletin of the American Mathematical Society, Letters in Mathematical Physics, Inventiones mathematicae, Communications on Pure and Applied Mathematics and Communications in Mathematical Physics.
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.