Murray Gerstenhaber

6.0k total citations · 2 hit papers
77 papers, 2.8k citations indexed

About

Murray Gerstenhaber is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Murray Gerstenhaber has authored 77 papers receiving a total of 2.8k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Algebra and Number Theory, 45 papers in Geometry and Topology and 32 papers in Mathematical Physics. Recurrent topics in Murray Gerstenhaber's work include Advanced Topics in Algebra (47 papers), Algebraic structures and combinatorial models (40 papers) and Homotopy and Cohomology in Algebraic Topology (24 papers). Murray Gerstenhaber is often cited by papers focused on Advanced Topics in Algebra (47 papers), Algebraic structures and combinatorial models (40 papers) and Homotopy and Cohomology in Algebraic Topology (24 papers). Murray Gerstenhaber collaborates with scholars based in United States, Israel and France. Murray Gerstenhaber's co-authors include Samuel D. Schack, Alexander A. Voronov, Michiel Hazewinkel, O. S. Rothaus, Anthony Giaquinto, Hyo Chul Myung, Philippe Bonneau, Eugene Galanter, M. Flato and Georges Pinczon and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Psychological Review and Communications in Mathematical Physics.

In The Last Decade

Murray Gerstenhaber

65 papers receiving 2.3k citations

Hit Papers

On the Deformation of Rings and Algebras 1963 2026 1984 2005 1964 1963 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. On the Deformation of Rings and Algebras
    1964 694 citations Murray Gerstenhaber Annals of Mathematics profile →
  2. The Cohomology Structure of an Associative Ring
    1963 557 citations Murray Gerstenhaber Annals of Mathematics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Murray Gerstenhaber United States 24 2.3k 2.3k 1.8k 342 220 77 2.8k
Jean-Louis Loday France 27 2.5k 1.1× 2.8k 1.2× 2.1k 1.1× 294 0.9× 539 2.5× 51 3.3k
Kevin McCrimmon United States 27 1.7k 0.7× 1.2k 0.5× 589 0.3× 180 0.5× 178 0.8× 117 2.0k
Charles A. Weibel United States 17 1.4k 0.6× 2.4k 1.1× 2.0k 1.1× 199 0.6× 202 0.9× 82 2.7k
Sergei Gelfand United States 15 867 0.4× 1.4k 0.6× 1.0k 0.6× 377 1.1× 393 1.8× 28 1.7k
Michel Van den Bergh Belgium 30 1.9k 0.8× 2.6k 1.2× 1.6k 0.9× 502 1.5× 215 1.0× 119 2.8k
Jean Pierre Serre France 11 714 0.3× 1.2k 0.5× 949 0.5× 116 0.3× 340 1.5× 25 1.8k
Michael Artin United States 28 1.8k 0.8× 3.3k 1.5× 1.8k 1.0× 329 1.0× 263 1.2× 51 3.7k
Corrado De Concini Italy 21 656 0.3× 1.2k 0.5× 840 0.5× 279 0.8× 538 2.4× 60 1.5k
Jens Carsten Jantzen Germany 18 1.1k 0.5× 1.7k 0.8× 1.4k 0.8× 323 0.9× 542 2.5× 34 2.0k
Claus Michael Ringel Germany 32 3.9k 1.7× 4.3k 1.9× 1.4k 0.8× 1.4k 4.1× 765 3.5× 126 4.7k

Countries citing papers authored by Murray Gerstenhaber

Since Specialization
Citations

This map shows the geographic impact of Murray Gerstenhaber'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 Murray Gerstenhaber with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Murray Gerstenhaber more than expected).

Fields of papers citing papers by Murray Gerstenhaber

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Murray Gerstenhaber. 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 Murray Gerstenhaber. The network helps show where Murray Gerstenhaber may publish in the future.

Co-authorship network of co-authors of Murray Gerstenhaber

This figure shows the co-authorship network connecting the top 25 collaborators of Murray Gerstenhaber. A scholar is included among the top collaborators of Murray Gerstenhaber 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 Murray Gerstenhaber. Murray Gerstenhaber 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.
Gerstenhaber, Murray, et al.. (2022). ON THE DEFORMATION OF THE TWO DIMENSIONAL ASSOCIATIVE ALGEBRAS. 54. 1–17. 1 indexed citations
2.
Gerstenhaber, Murray. (2014). Self-dual and quasi self-dual algebras. Israel Journal of Mathematics. 200(1). 193–211.
3.
Gerstenhaber, Murray, Anthony Giaquinto, & Samuel D. Schack. (2004). Diagrams of Lie algebras. Journal of Pure and Applied Algebra. 196(2-3). 169–184. 6 indexed citations
4.
Wu, Jie, Murray Gerstenhaber, & James Stasheff. (2001). On the Hodge decomposition of differential graded bi-algebras. Journal of Pure and Applied Algebra. 162(1). 103–125.
5.
Gerstenhaber, Murray, Anthony Giaquinto, & Mary Schaps. (2001). The Donald–Flanigan Problem for Finite Reflection Groups. Letters in Mathematical Physics. 56(1). 41–72. 3 indexed citations
6.
Gerstenhaber, Murray. (1999). Developments from Barr's thesis. Journal of Pure and Applied Algebra. 143(1-3). 205–220. 4 indexed citations
7.
Gerstenhaber, Murray, et al.. (1993). Universal deformation formulas and breaking symmetry. Journal of Pure and Applied Algebra. 90(3). 201–219. 5 indexed citations
8.
Gerstenhaber, Murray & Samuel D. Schack. (1991). The shuffle bialgebra and the cohomology of commutative algebras. Journal of Pure and Applied Algebra. 70(3). 263–272. 15 indexed citations
9.
Gerstenhaber, Murray & Samuel D. Schack. (1987). A hodge-type decomposition for commutative algebra cohomology. Journal of Pure and Applied Algebra. 48(1-2). 229–247. 81 indexed citations
10.
Gerstenhaber, Murray & Samuel D. Schack. (1983). On the Deformation of Algebra Morphisms and Diagrams. Transactions of the American Mathematical Society. 279(1). 1–1. 11 indexed citations
11.
Gerstenhaber, Murray & Samuel D. Schack. (1983). Simplicial cohomology is Hochschild cohomology. Journal of Pure and Applied Algebra. 30(2). 143–156. 51 indexed citations
12.
Gerstenhaber, Murray & Ralph J. May. (1981). Geometry of subalgebras and inseparable extensions. Journal of Algebra. 72(1). 29–53. 1 indexed citations
13.
Gerstenhaber, Murray & Hyo Chul Myung. (1975). On Commutative Power-Associative Nilalgebras of Low Dimension. Proceedings of the American Mathematical Society. 48(1). 29–29. 5 indexed citations
14.
Gerstenhaber, Murray, et al.. (1970). On the Galois theory of purely inseparable field extensions. Bulletin of the American Mathematical Society. 76(5). 1011–1015. 9 indexed citations
15.
Gerstenhaber, Murray. (1966). On the Deformation of Rings and Algebras: II. Annals of Mathematics. 84(1). 1–1. 117 indexed citations
16.
Gerstenhaber, Murray. (1962). On Nilalgebras and Linear Varieties of Nilpotent Matrices, IV. Annals of Mathematics. 75(2). 382–382. 9 indexed citations
17.
Gerstenhaber, Murray. (1957). On Canonical Constructions IV. Proceedings of the American Mathematical Society. 8(4). 745–745. 1 indexed citations
18.
Gerstenhaber, Murray & H. E. Rauch. (1954). ON EXTREMAL QUASI-CONFORMAL MAPPINGS. II. Proceedings of the National Academy of Sciences. 40(10). 991–994.
19.
Gerstenhaber, Murray. (1953). On the algebraic structure of discontinuous groups. Proceedings of the American Mathematical Society. 4(5). 745–750. 10 indexed citations
20.
Gerstenhaber, Murray. (1953). On a theorem of Haupt and Wirtinger concerning the periods of a differential of the first kind, and a related topological theorem. Proceedings of the American Mathematical Society. 4(3). 476–481. 2 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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