Gene Abrams

1.7k total citations
52 papers, 747 citations indexed

About

Gene Abrams is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Gene Abrams has authored 52 papers receiving a total of 747 indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Algebra and Number Theory, 38 papers in Geometry and Topology and 32 papers in Mathematical Physics. Recurrent topics in Gene Abrams's work include Advanced Topics in Algebra (46 papers), Algebraic structures and combinatorial models (37 papers) and Advanced Operator Algebra Research (31 papers). Gene Abrams is often cited by papers focused on Advanced Topics in Algebra (46 papers), Algebraic structures and combinatorial models (37 papers) and Advanced Operator Algebra Research (31 papers). Gene Abrams collaborates with scholars based in United States, Spain and Italy. Gene Abrams's co-authors include Gonzalo Aranda Pino, Mercedes Siles Molina, Kulumani M. Rangaswamy, Mark Tomforde, Enrique Pardo, Pere Ara, Phạm Ngọc Ánh, Claudia Menini, Francesc Perera and Christopher Smith and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Gene Abrams

46 papers receiving 685 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gene Abrams United States	13	716	647	493	61	43	52	747
Gonzalo Aranda Pino Spain	14	598 0.8×	597 0.9×	409 0.8×	53 0.9×	33 0.8×	26	617
John Quigg United States	12	345 0.5×	403 0.6×	144 0.3×	22 0.4×	67 1.6×	59	427
Marius Dădărlat United States	18	728 1.0×	854 1.3×	289 0.6×	58 1.0×	95 2.2×	64	884
Søren Eilers Denmark	12	330 0.5×	404 0.6×	150 0.3×	42 0.7×	57 1.3×	50	450
James Kuzmanovich United States	13	358 0.5×	119 0.2×	343 0.7×	57 0.9×	64 1.5×	42	428
Gavril Farkas Germany	14	127 0.2×	311 0.5×	439 0.9×	70 1.1×	26 0.6×	50	462
R. Exel Brazil	12	534 0.7×	581 0.9×	334 0.7×	42 0.7×	41 1.0×	20	632
Hans‐Bjørn Foxby Denmark	12	652 0.9×	288 0.4×	705 1.4×	33 0.5×	93 2.2×	27	727
Takayuki Oda Japan	11	147 0.2×	304 0.5×	286 0.6×	26 0.4×	8 0.2×	40	357
Lionel Schwartz France	11	203 0.3×	330 0.5×	299 0.6×	14 0.2×	22 0.5×	30	372

Countries citing papers authored by Gene Abrams

Since Specialization

Citations

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

Fields of papers citing papers by Gene Abrams

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gene Abrams

This figure shows the co-authorship network connecting the top 25 collaborators of Gene Abrams. A scholar is included among the top collaborators of Gene Abrams 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 Gene Abrams. Gene Abrams is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Abrams, Gene & Roozbeh Hazrat. (2023). Connections between abelian sandpile models and the K-theory of weighted Leavitt path algebras. European Journal of Mathematics. 9(2).

Abrams, Gene, et al.. (2019). Corners of Leavitt path algebras of finite graphs are Leavitt path algebras. Journal of Algebra. 547. 494–518. 1 indexed citations

Abrams, Gene, et al.. (2019). EVALUATING THE BENEFITS OF PROVIDING ARCHIVED ONLINE LECTURES TO IN-CLASS MATH STUDENTS. Online Learning. 12(3-4).

Abrams, Gene, Pere Ara, & Mercedes Siles Molina. (2017). Leavitt Path Algebras. Lecture notes in mathematics. 50 indexed citations

Abrams, Gene, Jason P. Bell, & Kulumani M. Rangaswamy. (2014). On prime nonprimitive von Neumann regular algebras. Transactions of the American Mathematical Society. 366(5). 2375–2392. 12 indexed citations

Abrams, Gene, et al.. (2012). Simple Lie algebras arising from Leavitt path algebras. Journal of Pure and Applied Algebra. 216(10). 2302–2313. 9 indexed citations

Abrams, Gene, et al.. (2011). Flow invariants in the classification of Leavitt path algebras. Journal of Algebra. 333(1). 202–231. 26 indexed citations

Abrams, Gene & Mark Tomforde. (2011). Isomorphism and Morita equivalence of graph algebras. Transactions of the American Mathematical Society. 363(7). 3733–3733. 38 indexed citations

Abrams, Gene, Gonzalo Aranda Pino, Francesc Perera, & Mercedes Siles Molina. (2009). Chain conditions for Leavitt path algebras. Forum Mathematicum. 22(1). 30 indexed citations

10.

Abrams, Gene & Gonzalo Aranda Pino. (2008). The Leavitt path algebras of arbitrary graphs. Houston journal of mathematics. 34(2). 423–442. 55 indexed citations

11.

Abrams, Gene, et al.. (2008). The classification question for Leavitt path algebras. Journal of Algebra. 320(5). 1983–2026. 30 indexed citations

12.

Abrams, Gene, Gonzalo Aranda Pino, & Mercedes Siles Molina. (2006). Finite-dimensional Leavitt path algebras. Journal of Pure and Applied Algebra. 209(3). 753–762. 39 indexed citations

13.

Abrams, Gene & Gonzalo Aranda Pino. (2005). Purely infinite simple Leavitt path algebras. Journal of Pure and Applied Algebra. 207(3). 553–563. 44 indexed citations

14.

Abrams, Gene & Gonzalo Aranda Pino. (2005). The Leavitt path algebra of a graph. Journal of Algebra. 293(2). 319–334. 161 indexed citations

15.

Abrams, Gene. (2001). Invariant Basis Number and Types for Strongly Graded Rings. Journal of Algebra. 237(1). 32–37. 3 indexed citations

16.

Abrams, Gene. (1997). Non-induced isomorphisms of matrix rings. Israel Journal of Mathematics. 99(1). 343–347. 2 indexed citations

17.

Abrams, Gene & Claudia Menini. (1996). Categorical equivalences and realization theorems. Journal of Pure and Applied Algebra. 113(2). 107–120. 5 indexed citations

18.

Abrams, Gene. (1994). Group Gradings and Recovery Results for Generalized Incidence Rings. Journal of Algebra. 164(3). 859–876. 5 indexed citations

19.

Abrams, Gene. (1987). On dense subrings of RFM(R). Journal of Algebra. 110(1). 243–248.

20.

Abrams, Gene. (1986). Infinite matrix types which determine Morita equivalence. Archiv der Mathematik. 46(1). 33–37. 6 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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