Allen Shields

80 total papers · 2.6k total citations
48 papers, 1.1k citations indexed

About

Allen Shields is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Allen Shields has authored 48 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Applied Mathematics, 17 papers in Mathematical Physics and 9 papers in Computational Theory and Mathematics. Recurrent topics in Allen Shields’s work include Holomorphic and Operator Theory (9 papers), Approximation Theory and Sequence Spaces (7 papers) and Advanced Banach Space Theory (5 papers). Allen Shields is often cited by papers focused on Holomorphic and Operator Theory (9 papers), Approximation Theory and Sequence Spaces (7 papers) and Advanced Banach Space Theory (5 papers). Allen Shields collaborates with scholars based in United States. Allen Shields's co-authors include Paul S. Mostert, Leon Brown, Sheldon Axler, Karl Zeller, David L. Williams, Peter Duren, Joel H. Shapiro, D. L. Williams, Eldon Dyer and Stefan Richter and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

Co-authorship network of co-authors of Allen Shields

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

Allen Shields

41 papers receiving 739 citations

Fields of papers citing papers by Allen Shields

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Countries citing papers authored by Allen Shields

Since Specialization
Citations

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

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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