Allen Shields
Impact in
- Applied Mathematics top 0.5%
- Holomorphic and Operator Theory
- Algebraic and Geometric Analysis
- Advanced Harmonic Analysis Research
- Algebra and Number Theory top 5%
- Advanced Topics in Algebra
Papers in
-
- advanced mathematical theories 6
- Advanced Banach Space Theory 6
-
- Holomorphic and Operator Theory 12
- Algebraic and Geometric Analysis 6
- Co-authors
- Paul S. Mostert (7 shared papers)Leon Brown (6 shared papers)Sheldon Axler (7 shared papers)Karl Zeller (2 shared papers)Carl Pearcy (3 shared papers)Peter Duren (1 shared paper)David L. Williams (1 shared paper)Joel H. Shapiro (1 shared paper)
- Journals
- Transactions of the American Mathematical Society (10 papers)The Michigan Mathematical Journal (9 papers)Proceedings of the American Mathematical Society (8 papers)Pacific Journal of Mathematics (3 papers)Mathematische Zeitschrift (3 papers)
- Partner nations
- United StatesCanada
In The Last Decade
Allen Shields
52 papers receiving 1.3k citations
Allen Shields's Hit Papers
Peers
Comparison fields: 5 of 74
- Applied Mathematics 1.2k
- Algebra and Number Theory 401
- Mathematical Physics 674
- Geometry and Topology 418
- Computational Theory and Mathematics 458
Countries citing papers authored by Allen Shields
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).
Fields of papers citing papers by Allen Shields
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.
Co-authors
The 20 scholars most cited alongside Allen Shields, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 58 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Weighted shift operators and analytic function theory Hit paper breakdown → | 1974 | 470 |
| 2 | 1957 | 342 | |
| 3 | 1984 | 90 | |
| 4 | 1962 | 81 | |
| 5 | 1960 | 81 | |
| 6 | 1970 | 57 | |
| 7 | 1978 | 56 | |
| 8 | 1975 | 53 | |
| 9 | 1982 | 46 | |
| 10 | 1964 | 39 | |
| 11 | 1959 | 39 | |
| 12 | 1984 | 35 | |
| 13 | 1979 | 35 | |
| 14 | 1960 | 34 | |
| 15 | 1974 | 30 | |
| 16 | 1988 | 29 | |
| 17 | 1985 | 28 | |
| 18 | 1979 | 24 | |
| 19 | 1959 | 23 | |
| 20 | 1990 | 21 |
About Allen Shields
Allen Shields is a scholar working on Mathematical Physics, Applied Mathematics, Geometry and Topology, Computational Theory and Mathematics and Algebra and Number Theory, having authored 58 papers that have together received 1.9k indexed citations. Recurring topics across this work include Holomorphic and Operator Theory (12 papers), Approximation Theory and Sequence Spaces (8 papers), Advanced Topics in Algebra (7 papers), Algebraic and Geometric Analysis (6 papers), advanced mathematical theories (6 papers), Advanced Banach Space Theory (6 papers), Advanced Differential Equations and Dynamical Systems (5 papers) and semigroups and automata theory (5 papers). The work is most often cited by research in Applied Mathematics (1.2k citations), Algebra and Number Theory (401 citations), Mathematical Physics (674 citations), Geometry and Topology (418 citations) and Computational Theory and Mathematics (458 citations). Allen Shields has collaborated with scholars based in United States and Canada. Frequent co-authors include Paul S. Mostert, Leon Brown, Sheldon Axler, Karl Zeller, Carl Pearcy, Peter Duren, David L. Williams, Joel H. Shapiro, D. L. Williams and Eldon Dyer. Their work appears in journals such as Transactions of the American Mathematical Society, The Michigan Mathematical Journal, Proceedings of the American Mathematical Society, Pacific Journal of Mathematics and Mathematische Zeitschrift.
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.