Allan Berele

1.6k total citations
76 papers, 948 citations indexed

About

Allan Berele is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Allan Berele has authored 76 papers receiving a total of 948 indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Geometry and Topology, 54 papers in Algebra and Number Theory and 17 papers in Computational Theory and Mathematics. Recurrent topics in Allan Berele's work include Advanced Topics in Algebra (52 papers), Algebraic structures and combinatorial models (46 papers) and Rings, Modules, and Algebras (14 papers). Allan Berele is often cited by papers focused on Advanced Topics in Algebra (52 papers), Algebraic structures and combinatorial models (46 papers) and Rings, Modules, and Algebras (14 papers). Allan Berele collaborates with scholars based in United States, Israel and Italy. Allan Berele's co-authors include Amitai Regev, Jeffrey B. Remmel, John R. Stembridge, David J. Saltman, Jeffrey Bergen, Antonio Giambruno, Ron M. Adin, Louis Rowen, Tom D. Imbo and Yuval Roichman and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Advances in Mathematics.

In The Last Decade

Allan Berele

67 papers receiving 874 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Allan Berele United States 16 829 751 231 229 161 76 948
Laurent Manivel France 17 701 0.8× 249 0.3× 262 1.1× 465 2.0× 122 0.8× 64 892
Thomas Lam United States 16 566 0.7× 286 0.4× 551 2.4× 253 1.1× 100 0.6× 68 796
Vera Serganova United States 15 720 0.9× 564 0.8× 193 0.8× 309 1.3× 114 0.7× 57 863
Vlastimil Dlab Canada 17 1.2k 1.5× 1.2k 1.6× 282 1.2× 395 1.7× 173 1.1× 84 1.5k
Bernard Host France 20 560 0.7× 276 0.4× 527 2.3× 872 3.8× 324 2.0× 47 1.2k
Marcelo Aguiar United States 13 575 0.7× 560 0.7× 266 1.2× 210 0.9× 131 0.8× 31 686
Vladimir V. Sergeichuk Ukraine 16 417 0.5× 488 0.6× 128 0.6× 177 0.8× 443 2.8× 73 778
Vyacheslav Futorny Brazil 17 673 0.8× 595 0.8× 91 0.4× 290 1.3× 155 1.0× 116 809
Nicholas A. Loehr United States 12 365 0.4× 314 0.4× 523 2.3× 159 0.7× 60 0.4× 51 601
Francesco Brenti Italy 21 598 0.7× 677 0.9× 1.1k 4.6× 361 1.6× 204 1.3× 59 1.2k

Countries citing papers authored by Allan Berele

Since Specialization
Citations

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

Fields of papers citing papers by Allan Berele

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Allan Berele

This figure shows the co-authorship network connecting the top 25 collaborators of Allan Berele. A scholar is included among the top collaborators of Allan Berele 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 Allan Berele. Allan Berele 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.
Berele, Allan, et al.. (2024). You Can’t Cut Two Pancakes With Compass and Straightedge. Mathematics Magazine. 97(2). 151–159.
2.
Berele, Allan, et al.. (2023). Specialized symmetric functions and trace identities. Israel Journal of Mathematics. 259(2). 503–526.
3.
Berele, Allan. (2014). J-trace identities and invariant theory. Advances in Applied Mathematics. 63. 1–18. 2 indexed citations
4.
Berele, Allan. (2013). Invariant theory for matrices over the Grassmann algebra. Advances in Mathematics. 237. 33–61. 4 indexed citations
5.
Berele, Allan. (2010). Bounds on colength and maximal multiplicity sequences. Journal of Algebra. 324(12). 3262–3275.
6.
Berele, Allan. (2008). Maximal multiplicities in cocharacter sequences. Journal of Algebra. 320(1). 318–340. 2 indexed citations
7.
Berele, Allan. (2005). Applications of Belov's theorem to the cocharacter sequence of p.i. algebras. Journal of Algebra. 298(1). 208–214. 12 indexed citations
8.
Berele, Allan. (2005). Eventual arm and leg widths in cocharacters of P. I. Algebras. Proceedings of the American Mathematical Society. 134(3). 665–671. 1 indexed citations
9.
Berele, Allan. (2005). Colength sequences for Kemer algebras. Journal of Algebra. 293(1). 155–166. 5 indexed citations
10.
Berele, Allan & Amitai Regev. (2001). Exponential Growth for Codimensions of Some p.i. Algebras. Journal of Algebra. 241(1). 118–145. 18 indexed citations
11.
Berele, Allan & Tom D. Imbo. (2001). Kronecker Products of sn-Characters in Hooks. Journal of Algebra. 246(1). 356–366. 2 indexed citations
12.
Berele, Allan & Louis Rowen. (1999). T-Ideals and SuperAzumaya Algebras. Journal of Algebra. 212(2). 703–720. 2 indexed citations
13.
Berele, Allan & Jeffrey Bergen. (1999). P.I. Algebras with Hopf Algebra Actions. Journal of Algebra. 214(2). 636–651. 4 indexed citations
14.
Berele, Allan. (1995). Examples and counterexamples for M1,1 embeddings. Journal of Algebra. 172(2). 379–384. 1 indexed citations
15.
Berele, Allan & Amitai Regev. (1995). Some Remarks on Trace Cocharacters. Journal of Algebra. 176(3). 1013–1024. 2 indexed citations
16.
Berele, Allan. (1994). Supertraces and Matrices over Grassmann Algebras. Advances in Mathematics. 108(1). 77–90. 13 indexed citations
17.
Berele, Allan. (1990). Azumaya-like properties of verbally prime algebras. Journal of Algebra. 133(2). 272–276. 2 indexed citations
18.
Berele, Allan & Amitai Regev. (1987). Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras. Advances in Mathematics. 64(2). 118–175. 252 indexed citations
19.
Berele, Allan. (1986). A schensted-type correspondence for the symplectic group. Journal of Combinatorial Theory Series A. 43(2). 320–328. 46 indexed citations
20.
Berele, Allan & Amitai Regev. (1983). Applications of hook Young diagrams to P.I. Algebras. Journal of Algebra. 82(2). 559–567. 54 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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