Alan Weinstein

4.9k citations
45 papers · 2.5k · 1 hit paper · h-index 19

Impact in

Papers in

    • Homotopy and Cohomology in Algebraic Topology 22
    • Advanced Algebra and Geometry 6
    • Advanced Operator Algebra Research 3
    • Algebraic structures and combinatorial models 11
    • Geometric and Algebraic Topology 5
    • Mathematics and Applications 3

Alan Weinstein

44 papers receiving 2.2k citations

Alan Weinstein's Hit Papers

Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential 1986 · 650 citations
6500+13+26Years since publication200400600

Peers

Alan Weinstein
Comparison fields: 5 of 62
  • Mathematical Physics 1.7k
  • Algebra and Number Theory 884
  • Geometry and Topology 942
  • Applied Mathematics 755
  • Statistical and Nonlinear Physics 521
Replace Richard Melrose with:
Richard Melrose United States
Bernard Malgrange France
А. П. Веселов Russia
М. И. Граев Russia
Irwin Kra United States
L. Boutet de Monvel France
James Eells United Kingdom
Hubert Goldschmidt United States
Vladimı́r Souček Czechia
Scott A. Wolpert United States
Alan Weinstein relative to Richard Melrose United States Richard Melrose's profile →
Citations per field
00.5×1.5×2.2×
Richard Melrose · 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 45 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
Hit paper breakdown →
1986650
2 1990248
3
Geometric Models for Noncommutative Algebras
1999237
4 2001189
5 1997123
6 1977121
7 2002115
8 199998
9 200471
10 199270
11 200569
12 199252
13 199744
14 198138
15 200233
16 196926
17 198526
18 196725
19 199023
20 197018

About Alan Weinstein

Alan Weinstein is a scholar working on Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Applied Mathematics and Astronomy and Astrophysics, having authored 45 papers that have together received 2.5k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (22 papers), Advanced Topics in Algebra (19 papers), Algebraic structures and combinatorial models (11 papers), Advanced Algebra and Geometry (6 papers), Geometric and Algebraic Topology (5 papers), Advanced Operator Algebra Research (3 papers), Geometric Analysis and Curvature Flows (3 papers) and Mathematics and Applications (3 papers). The work is most often cited by research in Mathematical Physics (1.7k citations), Algebra and Number Theory (884 citations), Geometry and Topology (942 citations), Applied Mathematics (755 citations) and Statistical and Nonlinear Physics (521 citations). Alan Weinstein has collaborated with scholars based in United States, France and Germany. Frequent co-authors include Andreas Floer, Jiang-Hua Lu, Ana Cannas da Silva, Pavol Ševera, Ping Xu, Paul K. Newton, Philip Holmes, Victor Nistor, Henrique Bursztyn and Viktor L. Ginzburg. Their work appears in journals such as Journal of Differential Geometry, Duke Mathematical Journal, Pacific Journal of Mathematics, Proceedings of the American Mathematical Society and Physics Letters A.

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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