Alan Weinstein

8.3k total citations · 2 hit papers
61 papers, 4.2k citations indexed

About

Alan Weinstein is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Alan Weinstein has authored 61 papers receiving a total of 4.2k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Mathematical Physics, 24 papers in Geometry and Topology and 20 papers in Algebra and Number Theory. Recurrent topics in Alan Weinstein's work include Homotopy and Cohomology in Algebraic Topology (27 papers), Advanced Topics in Algebra (20 papers) and Advanced Algebra and Geometry (13 papers). Alan Weinstein is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (27 papers), Advanced Topics in Algebra (20 papers) and Advanced Algebra and Geometry (13 papers). Alan Weinstein collaborates with scholars based in United States, Switzerland and China. Alan Weinstein's 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 and has published in prestigious journals such as Physics Reports, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

Alan Weinstein

61 papers receiving 3.6k citations

Hit Papers

Nonlinear stability of fluid and plasma equilibria 1983 2026 1997 2011 1985 1983 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Nonlinear stability of fluid and plasma equilibria
    1985 611 citations Alan Weinstein et al. profile →
  2. The local structure of Poisson manifolds
    1983 589 citations Alan Weinstein Journal of Differential Geometry profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Alan Weinstein United States 29 2.1k 1.7k 1.7k 1.1k 517 61 4.2k
Boris Dubrovin Italy 30 1.4k 0.7× 1.9k 1.1× 2.9k 1.7× 392 0.4× 473 0.9× 90 4.2k
S. Sternberg United States 14 1.5k 0.7× 1.6k 0.9× 846 0.5× 588 0.5× 654 1.3× 25 3.1k
André Lichnerowicz France 21 1.3k 0.6× 1.3k 0.8× 968 0.6× 1.1k 1.0× 697 1.3× 77 3.6k
Boris Khesin Canada 18 596 0.3× 883 0.5× 1.0k 0.6× 158 0.1× 638 1.2× 72 2.3k
A. Kupiainen Finland 30 1.1k 0.5× 403 0.2× 968 0.6× 72 0.1× 273 0.5× 90 3.1k
George W. Bluman Canada 31 850 0.4× 1.3k 0.7× 5.8k 3.5× 63 0.1× 316 0.6× 73 7.1k
G. Marmo Italy 34 598 0.3× 629 0.4× 2.2k 1.3× 434 0.4× 317 0.6× 280 4.7k
Peter Gilkey United States 26 1.6k 0.8× 1.3k 0.7× 1.2k 0.7× 270 0.2× 1.8k 3.5× 208 4.6k
Peter A. Clarkson United Kingdom 35 1.3k 0.6× 2.1k 1.2× 8.1k 4.9× 129 0.1× 339 0.7× 105 8.9k
Charles Fefferman United States 41 4.0k 1.9× 1.2k 0.7× 408 0.2× 162 0.1× 7.2k 13.8× 157 8.7k

Countries citing papers authored by Alan Weinstein

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Alan Weinstein

This figure shows the co-authorship network connecting the top 25 collaborators of Alan Weinstein. A scholar is included among the top collaborators of Alan Weinstein based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alan Weinstein. Alan Weinstein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Cattaneo, Alberto S., et al.. (2011). Symplectic microgeometry II: generating functions. Zurich Open Repository and Archive (University of Zurich). 8 indexed citations
2.
Weinstein, Alan. (2010). Symplectic categories. Portugaliae Mathematica. 67(2). 261–278. 18 indexed citations
3.
Kosmann–Schwarzbach, Yvette & Alan Weinstein. (2005). Relative modular classes of Lie algebroids. Comptes Rendus Mathématique. 341(8). 509–514. 14 indexed citations
4.
Tang, Xiang & Alan Weinstein. (2004). Quantization and Morita equivalence for constant Dirac structures on tori. Annales de l’institut Fourier. 54(5). 1565–1580. 6 indexed citations
5.
6.
Weinstein, Alan. (2001). Poisson Geometry of Discrete Series Orbits, and Momentum Convexity for Noncompact Group Actions. Letters in Mathematical Physics. 56(1). 17–30. 17 indexed citations
7.
Weinstein, Alan. (1998). Poisson geometry. Differential Geometry and its Applications. 9(1-2). 213–238. 26 indexed citations
8.
Scovel, Clint & Alan Weinstein. (1994). Finite dimensional lie‐poisson approximations to vlasov‐poisson equations. Communications on Pure and Applied Mathematics. 47(5). 683–709. 14 indexed citations
9.
Ginzburg, Viktor L. & Alan Weinstein. (1992). Lie-Poisson Structure on Some Poisson Lie Groups. Journal of the American Mathematical Society. 5(2). 445–445. 23 indexed citations
10.
Weinstein, Alan. (1988). Coisotropic calculus and Poisson groupoids. Journal of the Mathematical Society of Japan. 40(4). 121 indexed citations
11.
Weinstein, Alan. (1987). Standing and travelling waves for nonlinear wave equations. Transport Theory and Statistical Physics. 16(2-3). 267–277. 1 indexed citations
12.
Weinstein, Alan, et al.. (1985). A symplectic fixed point theorem for complex projective spaces. Bulletin of the American Mathematical Society. 12(1). 128–130. 22 indexed citations
13.
Weinstein, Alan. (1985). Periodic nonlinear waves on a half-line. Communications in Mathematical Physics. 99(3). 385–388. 29 indexed citations
14.
Weinstein, Alan. (1983). Hamiltonian structure for drift waves and geostrophic flow. The Physics of Fluids. 26(2). 388–390. 34 indexed citations
15.
Gotay, Mark J., Richard Lashof, Jędrzej Śniatycki, & Alan Weinstein. (1983). Closed forms on symplectic fibre bundles. Commentarii Mathematici Helvetici. 58(1). 617–621. 23 indexed citations
16.
Weinstein, Alan. (1983). The local structure of Poisson manifolds. Journal of Differential Geometry. 18(3). 589 indexed citations breakdown →
17.
Stanton, Robert J. & Alan Weinstein. (1981). On the L4 norm of spherical harmonics. Mathematical Proceedings of the Cambridge Philosophical Society. 89(2). 343–358. 10 indexed citations
18.
Bass, Hyman, et al.. (1979). Progress in mathematics. Birkhäuser eBooks. 3 indexed citations
19.
Weinstein, Alan. (1977). Lectures on Symplectic Manifolds. Medical Entomology and Zoology. 311 indexed citations
20.
Weinstein, Alan. (1971). Symplectic manifolds and their lagrangian submanifolds. Advances in Mathematics. 6(3). 329–346. 305 indexed citations

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.

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