Murray Marshall

1.5k total citations
59 papers, 761 citations indexed

About

Murray Marshall is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Murray Marshall has authored 59 papers receiving a total of 761 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Geometry and Topology, 31 papers in Algebra and Number Theory and 17 papers in Computational Theory and Mathematics. Recurrent topics in Murray Marshall's work include Advanced Topics in Algebra (25 papers), Algebraic Geometry and Number Theory (15 papers) and Rings, Modules, and Algebras (15 papers). Murray Marshall is often cited by papers focused on Advanced Topics in Algebra (25 papers), Algebraic Geometry and Number Theory (15 papers) and Rings, Modules, and Algebras (15 papers). Murray Marshall collaborates with scholars based in Canada, Germany and Slovenia. Murray Marshall's co-authors include Joseph L. Yucas, Tim Netzer, Ka Hin Leung, Mehdi Ghasemi, Yang Zhang, Salma Kuhlmann, Andreas Fischer, Mikhail Kochetov, David B. Leep and Franz‐Viktor Kuhlmann and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Journal of Functional Analysis.

In The Last Decade

Murray Marshall

57 papers receiving 647 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Murray Marshall Canada	15	457	334	260	210	106	59	761
Vladimir V. Sergeichuk Ukraine	16	417 0.9×	488 1.5×	443 1.7×	177 0.8×	128 1.2×	73	778
Alexander Prestel Germany	12	426 0.9×	246 0.7×	251 1.0×	247 1.2×	59 0.6×	32	674
Stephen Pierce United States	13	217 0.5×	368 1.1×	301 1.2×	183 0.9×	110 1.0×	52	605
Jeffrey D. Vaaler United States	15	418 0.9×	469 1.4×	162 0.6×	370 1.8×	147 1.4×	52	996
Luca Chiantini Italy	15	373 0.8×	174 0.5×	231 0.9×	107 0.5×	52 0.5×	66	695
David J. Fieldhouse Canada	6	503 1.1×	578 1.7×	235 0.9×	175 0.8×	74 0.7×	13	877
Claus Scheiderer Germany	14	379 0.8×	189 0.6×	335 1.3×	189 0.9×	53 0.5×	60	670
Mei-Chu Chang United States	15	360 0.8×	245 0.7×	165 0.6×	174 0.8×	315 3.0×	75	621
R. Westwick Canada	13	194 0.4×	245 0.7×	273 1.1×	154 0.7×	83 0.8×	26	586
David Handelman Canada	20	602 1.3×	922 2.8×	455 1.8×	680 3.2×	81 0.8×	84	1.5k

Countries citing papers authored by Murray Marshall

Since Specialization

Citations

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

Fields of papers citing papers by Murray Marshall

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Murray Marshall

This figure shows the co-authorship network connecting the top 25 collaborators of Murray Marshall. A scholar is included among the top collaborators of Murray Marshall 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 Marshall. Murray Marshall 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

Marshall, Murray. (2019). FIRST NATIONS GAMING IN CANADA: NAVIGATING THE LABYRINTH. 23(8). 559–571. 2 indexed citations

Marshall, Murray, et al.. (2016). Witt equivalence of function fields over global fields. Transactions of the American Mathematical Society. 369(11). 7861–7881. 4 indexed citations

Ghasemi, Mehdi, Salma Kuhlmann, & Murray Marshall. (2013). Application of Jacobiʼs representation theorem to locally multiplicatively convex topologicalR-algebras. Journal of Functional Analysis. 266(2). 1041–1049. 4 indexed citations

Marshall, Murray, et al.. (2012). Orderings and signatures of higher level on multirings and hyperfields. Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology. 10(3). 489–518. 10 indexed citations

Ghasemi, Mehdi, et al.. (2012). Closure of the Cone of Sums of 2d-powers in Certain Weighted ℓ₁-seminorm Topologies. Canadian Mathematical Bulletin. 57(2). 289–302. 5 indexed citations

Marshall, Murray & Tim Netzer. (2011). Positivstellensätze for real function algebras. Mathematische Zeitschrift. 270(3-4). 889–901. 2 indexed citations

Marshall, Murray. (2008). Positive Polynomials and Sums of Squares. Mathematical surveys and monographs. 127 indexed citations

Marshall, Murray, et al.. (2007). The pp conjecture for the space of orderings of the field R(x,y). Journal of Pure and Applied Algebra. 212(1). 197–203. 3 indexed citations

Marshall, Murray. (2007). Book Review: Valuations, orderings and Milnor $K$-theory. Bulletin of the American Mathematical Society. 45(3). 439–444. 1 indexed citations

10.

Marshall, Murray. (2003). ∗-Orderings and ∗-valuations on algebras of finite Gelfand–Kirillov dimension. Journal of Pure and Applied Algebra. 179(3). 255–271. 8 indexed citations

11.

Kuhlmann, Franz‐Viktor, et al.. (2002). Valuation Theory and Its Applications, Volume I. American Mathematical Society eBooks. 2 indexed citations

12.

Marshall, Murray. (2002). A general representation theorem for partially ordered commutative rings. Mathematische Zeitschrift. 242(2). 217–225. 10 indexed citations

13.

Marshall, Murray, et al.. (1999). Orderings, Real Places, and Valuations on Noncommutative Integral Domains. Journal of Algebra. 212(1). 190–207. 12 indexed citations

14.

Leung, Ka Hin, et al.. (1997). The Real Spectrum of a Noncommutative Ring. Journal of Algebra. 198(2). 412–427. 14 indexed citations

15.

Marshall, Murray. (1996). Spaces of Orderings and Abstract Real Spectra. Lecture notes in mathematics. 49 indexed citations

16.

Marshall, Murray. (1994). An Approximation Theorem for Coarse V-Topologies on Rings. Canadian Mathematical Bulletin. 37(4). 527–533. 1 indexed citations

17.

Marshall, Murray. (1991). Orderings and real places on commutative rings. Journal of Algebra. 140(2). 484–501. 8 indexed citations

18.

Marshall, Murray, et al.. (1990). The Witt ring of a space of signatures. Journal of Pure and Applied Algebra. 67(2). 179–188. 3 indexed citations

19.

Marshall, Murray. (1989). A simple system of axioms for spaces of signatures. Journal of Pure and Applied Algebra. 57(2). 159–164. 5 indexed citations

20.

Marshall, Murray. (1985). Bilinear forms and orderings on commutative rings. 7 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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