Alan L. T. Paterson

1.5k total citations
45 papers, 689 citations indexed

About

Alan L. T. Paterson is a scholar working on Mathematical Physics, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, Alan L. T. Paterson has authored 45 papers receiving a total of 689 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Mathematical Physics, 15 papers in Applied Mathematics and 14 papers in Algebra and Number Theory. Recurrent topics in Alan L. T. Paterson's work include Advanced Operator Algebra Research (27 papers), Advanced Topics in Algebra (12 papers) and Advanced Banach Space Theory (10 papers). Alan L. T. Paterson is often cited by papers focused on Advanced Operator Algebra Research (27 papers), Advanced Topics in Algebra (12 papers) and Advanced Banach Space Theory (10 papers). Alan L. T. Paterson collaborates with scholars based in United Kingdom, United States and Canada. Alan L. T. Paterson's co-authors include Anthony Lau, John F. R. Duncan, Anthony To‐Ming Lau, Allan M. Sinclair, Dalbir Bindra, Joanna Strzelecki, John B. Conway and James C. S. Wong and has published in prestigious journals such as Journal of Sound and Vibration, Transactions of the American Mathematical Society and Journal of Functional Analysis.

In The Last Decade

Alan L. T. Paterson

37 papers receiving 590 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alan L. T. Paterson United Kingdom	11	586	360	229	139	124	45	689
R. J. Archbold United Kingdom	13	561 1.0×	491 1.4×	136 0.6×	120 0.9×	49 0.4×	60	614
Yasuo Watatani Japan	14	568 1.0×	452 1.3×	228 1.0×	109 0.8×	48 0.4×	73	631
Simon Wassermann United Kingdom	13	578 1.0×	453 1.3×	168 0.7×	124 0.9×	36 0.3×	28	632
Christopher Deninger Germany	11	313 0.5×	162 0.5×	291 1.3×	45 0.3×	73 0.6×	34	422
Baruch Solel Israel	14	658 1.1×	547 1.5×	189 0.8×	344 2.5×	62 0.5×	61	725
Ruy Exel Brazil	18	945 1.6×	748 2.1×	409 1.8×	154 1.1×	98 0.8×	53	1.0k
Christian Skau Norway	9	424 0.7×	128 0.4×	163 0.7×	34 0.2×	217 1.8×	31	531
Joe Jenkins United States	14	345 0.6×	128 0.4×	144 0.6×	202 1.5×	55 0.4×	38	470
Søren Eilers Denmark	12	404 0.7×	330 0.9×	150 0.7×	56 0.4×	42 0.3×	50	450

Countries citing papers authored by Alan L. T. Paterson

Since Specialization

Citations

This map shows the geographic impact of Alan L. T. Paterson'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 L. T. Paterson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alan L. T. Paterson more than expected).

Fields of papers citing papers by Alan L. T. Paterson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alan L. T. Paterson. 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 L. T. Paterson. The network helps show where Alan L. T. Paterson may publish in the future.

Co-authorship network of co-authors of Alan L. T. Paterson

This figure shows the co-authorship network connecting the top 25 collaborators of Alan L. T. Paterson. A scholar is included among the top collaborators of Alan L. T. Paterson 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 Alan L. T. Paterson. Alan L. T. Paterson 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

Paterson, Alan L. T., et al.. (2005). Tychonoff’s theorem for locally compact spaces and an elementary approach to the topology of path spaces. Proceedings of the American Mathematical Society. 133(9). 2761–2770. 3 indexed citations

Paterson, Alan L. T.. (2002). Does Hegel Have Anything to Say to Modern Mathematical Philosophy?. Idealistic Studies. 32(2). 143–158. 3 indexed citations

Paterson, Alan L. T.. (2000). The Successor Function and Induction Principle in a Hegelian Philosophy of Mathematics. Idealistic Studies. 30(1). 25–60. 2 indexed citations

Paterson, Alan L. T.. (1997). Towards a Hegelian Philosophy of Mathematics. Idealistic Studies. 27(1). 1–10. 2 indexed citations

Lau, Anthony & Alan L. T. Paterson. (1991). Inner amenable locally compact groups. Transactions of the American Mathematical Society. 325(1). 155–169. 29 indexed citations

Lau, Anthony To‐Ming & Alan L. T. Paterson. (1991). Inner Amenable Locally Compact Groups. Transactions of the American Mathematical Society. 325(1). 155–155. 11 indexed citations

Lau, Anthony & Alan L. T. Paterson. (1991). Amenability for twisted covariance algebras and group C∗-algebras. Journal of Functional Analysis. 100(1). 59–86. 5 indexed citations

Duncan, John F. R. & Alan L. T. Paterson. (1990). Amenability for discrete convolution semigroup algebras.. MATHEMATICA SCANDINAVICA. 66. 141–141. 44 indexed citations

Paterson, Alan L. T.. (1988). Amenability. Mathematical surveys and monographs. 179 indexed citations

10.

Lau, Anthony & Alan L. T. Paterson. (1988). Operator theoretic characterizations of [𝐼𝑁]-groups and inner amenability. Proceedings of the American Mathematical Society. 102(4). 893–897. 9 indexed citations

11.

Lau, Anthony & Alan L. T. Paterson. (1986). The exact cardinality of the set of topological left invariant means on an amenable locally compact group. Proceedings of the American Mathematical Society. 98(1). 75–80. 15 indexed citations

12.

Lau, Anthony To‐Ming & Alan L. T. Paterson. (1986). The Exact Cardinality of the Set of Topological Left Invariant Means on an Amenable Locally Compact Group. Proceedings of the American Mathematical Society. 98(1). 75–75. 7 indexed citations

13.

Paterson, Alan L. T.. (1986). Nonamenability and Borel paradoxical decompositions for locally compact groups. Proceedings of the American Mathematical Society. 96(1). 89–90.

14.

Duncan, John F. R. & Alan L. T. Paterson. (1985). C*-Algebras of inverse semigroups. Proceedings of the Edinburgh Mathematical Society. 28(1). 41–58. 19 indexed citations

15.

Paterson, Alan L. T.. (1983). A non-probabilistic approach to Poisson spaces. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 93(3-4). 181–188.

16.

Paterson, Alan L. T.. (1978). The size of the set of left invariant means on an ELA semigroup. Proceedings of the American Mathematical Society. 72(1). 62–64.

17.

Paterson, Alan L. T.. (1978). An integral representation of positive definite functions on a Clifford semigroup. Mathematische Annalen. 234(2). 125–138. 3 indexed citations

18.

Paterson, Alan L. T.. (1978). Amenability and locally compact semigroups.. MATHEMATICA SCANDINAVICA. 42. 271–271. 2 indexed citations

19.

Paterson, Alan L. T.. (1973). The speech therapist's role in stroke rehabilitation.. PubMed. 28(10). 109–12. 2 indexed citations

20.

Paterson, Alan L. T. & Allan M. Sinclair. (1972). Characterisation of Isometries Between C*-Algebras. Journal of the London Mathematical Society. s2-5(4). 755–761. 14 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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