A. L. Shields
Impact in
- Applied Mathematics top 0.5%
- Holomorphic and Operator Theory
- Algebraic and Geometric Analysis
- Advanced Harmonic Analysis Research
- Meromorphic and Entire Functions
- Differential Equations and Boundary Problems
- Mathematical Physics top 2%
- Advanced Banach Space Theory
Papers in
-
- Holomorphic and Operator Theory 14
- Algebraic and Geometric Analysis 6
- Meromorphic and Entire Functions 3
-
- Advanced Banach Space Theory 11
- advanced mathematical theories 3
- Spectral Theory in Mathematical Physics 3
- Mathematical Dynamics and Fractals 3
- Co-authors
- H. S. Shapiro (8 shared papers)D. L. Williams (1 shared paper)Lee A. Rubel (11 shared papers)Peter Duren (4 shared papers)R. G. Douglas (2 shared papers)Leon Brown (1 shared paper)J. M. Anderson (2 shared papers)B. A. Taylor (1 shared paper)
- Journals
- Transactions of the American Mathematical Society (5 papers)The Michigan Mathematical Journal (4 papers)Annales de l’institut Fourier (2 papers)Duke Mathematical Journal (2 papers)Bulletin of the American Mathematical Society (2 papers)
- Partner nations
- United StatesIsraelRussia
In The Last Decade
A. L. Shields
31 papers receiving 918 citations
Peers
Comparison fields: 5 of 62
- Applied Mathematics 1.0k
- Mathematical Physics 380
- Geometry and Topology 354
- Algebra and Number Theory 160
- Numerical Analysis 40
Countries citing papers authored by A. L. Shields
This map shows the geographic impact of A. L. 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 A. L. Shields with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. L. Shields more than expected).
Fields of papers citing papers by A. L. Shields
This network shows the impact of papers produced by A. L. 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 A. L. Shields. The network helps show where A. L. Shields may publish in the future.
Co-authors
The 23 scholars most cited alongside A. L. 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 35 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1971 | 202 | |
| 2 | 1970 | 172 | |
| 3 | 1961 | 134 | |
| 4 | 1969 | 129 | |
| 5 | 1966 | 85 | |
| 6 | 1962 | 82 | |
| 7 | 1991 | 62 | |
| 8 | 1970 | 56 | |
| 9 | 1966 | 54 | |
| 10 | 1976 | 47 | |
| 11 | 2008 | 27 | |
| 12 | 1975 | 25 | |
| 13 | 1967 | 20 | |
| 14 | 1964 | 18 | |
| 15 | 1969 | 17 | |
| 16 | 2023 | 14 | |
| 17 | 2021 | 13 | |
| 18 | 1972 | 13 | |
| 19 | 1976 | 12 | |
| 20 | 1974 | 11 |
About A. L. Shields
A. L. Shields is a scholar working on Applied Mathematics, Mathematical Physics, Geometry and Topology, Computational Theory and Mathematics and Numerical Analysis, having authored 35 papers that have together received 1.3k indexed citations. Recurring topics across this work include Holomorphic and Operator Theory (14 papers), Advanced Banach Space Theory (11 papers), Algebraic and Geometric Analysis (6 papers), Analytic and geometric function theory (5 papers), advanced mathematical theories (3 papers), Spectral Theory in Mathematical Physics (3 papers), Mathematical Dynamics and Fractals (3 papers) and Meromorphic and Entire Functions (3 papers). The work is most often cited by research in Applied Mathematics (1.0k citations), Mathematical Physics (380 citations), Geometry and Topology (354 citations), Algebra and Number Theory (160 citations) and Numerical Analysis (40 citations). A. L. Shields has collaborated with scholars based in United States, Israel and Russia. Frequent co-authors include H. S. Shapiro, D. L. Williams, Lee A. Rubel, Peter Duren, R. G. Douglas, Leon Brown, J. M. Anderson, B. A. Taylor, Carl Pearcy and Dov Aharonov. Their work appears in journals such as Transactions of the American Mathematical Society, The Michigan Mathematical Journal, Annales de l’institut Fourier, Duke Mathematical Journal and Bulletin of the American Mathematical Society.
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.