Alan Weinstein

8.5k citations
68 papers · 4.9k · 3 hit papers · h-index 32

Impact in

Papers in

    • Homotopy and Cohomology in Algebraic Topology 29
    • Advanced Algebra and Geometry 13
    • Algebraic structures and combinatorial models 12
    • Geometric and Algebraic Topology 9
    • Geometry and complex manifolds 8

Alan Weinstein

67 papers receiving 4.2k citations

Alan Weinstein's Hit Papers

Manin triples for Lie bialgebroids 1997 · 277 citations
2770+14+28Years since publication200400600

Peers

Alan Weinstein
Comparison fields: 5 of 84
  • Algebra and Number Theory 1.3k
  • Mathematical Physics 2.4k
  • Geometry and Topology 2.0k
  • Statistical and Nonlinear Physics 1.9k
  • Applied Mathematics 604
Replace Boris Dubrovin with:
Boris Dubrovin Italy
S. Sternberg United States
André Lichnerowicz France
Boris A. Kupershmidt United States
Peter Gilkey United States
A. Zabrodin Russia
Boris Khesin Canada
Yuji Kodama United States
Peter A. Clarkson United Kingdom
Harvey Segur United States
Alan Weinstein relative to Boris Dubrovin Italy Boris Dubrovin's profile →
Citations per field
00.5×1.5×2.3×
Boris Dubrovin · 1×
Citations per year

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-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.

Border = papers with Alan Weinstein Line = papers co-authored together Alan Weinstein links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 68 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Nonlinear stability of fluid and plasma equilibria
Hit paper breakdown →
1985673
2
The local structure of Poisson manifolds
Hit paper breakdown →
1983668
3 1977351
4 1971349
5 1973284
6
Manin triples for Lie bialgebroids
Hit paper breakdown →
1997277
7 1984229
8 1987165
9 1988136
10 1978119
11 1979112
12 1973100
13
Lectures on the geometry of quantization
199597
14 200179
15
Hamiltonian systems with symmetry, coadjoint orbits and plasma physics
198375
16 198167
17 198867
18 197865
19 198356
20 197754

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 68 papers that have together received 4.9k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (29 papers), Advanced Topics in Algebra (22 papers), Advanced Algebra and Geometry (13 papers), Algebraic structures and combinatorial models (12 papers), Nonlinear Waves and Solitons (11 papers), Geometric and Algebraic Topology (9 papers), Geometry and complex manifolds (8 papers) and Quantum chaos and dynamical systems (7 papers). The work is most often cited by research in Algebra and Number Theory (1.3k citations), Mathematical Physics (2.4k citations), Geometry and Topology (2.0k citations), Statistical and Nonlinear Physics (1.9k citations) and Applied Mathematics (604 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 Richard G. Spencer. Their work appears in journals such as Bulletin of the American Mathematical Society, Letters in Mathematical Physics, Communications on Pure and Applied Mathematics, Communications in Mathematical Physics and Journal of Differential Geometry.

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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