William Abikoff
Impact in
- Geometry and Topology top 2%
- Geometric and Algebraic Topology
- Analytic and geometric function theory
- Mathematics and Applications
- Mathematical Physics top 5%
- Mathematical Dynamics and Fractals
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
Papers in
-
- Geometric and Algebraic Topology 7
- Analytic and geometric function theory 5
- Mathematics and Applications 4
- Advanced Differential Equations and Dynamical Systems 2
-
- Mathematical Dynamics and Fractals 3
- Co-authors
- Bernard Maskit (1 shared paper)Andrew Haas (1 shared paper)Clifford J. Earle (1 shared paper)Joan S. Birman (1 shared paper)Jane Gilman (1 shared paper)Irwin Kra (1 shared paper)Cathleen S. Morawetz (1 shared paper)
- Journals
- Bulletin of the London Mathematical Society (3 papers)American Journal of Mathematics (2 papers)Acta Mathematica (2 papers)Annals of Mathematics (1 paper)Journal d Analyse Mathématique (1 paper)
- Partner nations
- United StatesNetherlandsGermany
In The Last Decade
William Abikoff
19 papers receiving 245 citations
Peers
Comparison fields: 5 of 41
- Geometry and Topology 253
- Mathematical Physics 159
- Applied Mathematics 126
- Discrete Mathematics and Combinatorics 38
- Algebra and Number Theory 17
Countries citing papers authored by William Abikoff
This map shows the geographic impact of William Abikoff'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 William Abikoff with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William Abikoff more than expected).
Fields of papers citing papers by William Abikoff
This network shows the impact of papers produced by William Abikoff. 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 William Abikoff. The network helps show where William Abikoff may publish in the future.
Co-authors
The 7 scholars most cited alongside William Abikoff, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 1984 | 86 | |
| 2 | 1977 | 70 | |
| 3 | 1977 | 29 | |
| 4 | 1975 | 27 | |
| 5 | 1981 | 23 | |
| 6 | 1990 | 12 | |
| 7 | 1973 | 12 | |
| 8 | 2004 | 9 | |
| 9 | 1976 | 9 | |
| 10 | 2002 | 7 | |
| 11 | 1981 | 7 | |
| 12 | 1986 | 6 | |
| 13 | 2004 | 6 | |
| 14 | 1976 | 5 | |
| 15 | 1986 | 5 | |
| 16 | 1994 | 4 | |
| 17 | Remembering Lipman Bers | 1995 | 2 |
| 18 | 1984 | 2 | |
| 19 | 1985 | 2 |
About William Abikoff
William Abikoff is a scholar working on Geometry and Topology, Mathematical Physics, Computational Mechanics, Discrete Mathematics and Combinatorics and Applied Mathematics, having authored 19 papers that have together received 323 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (7 papers), Analytic and geometric function theory (5 papers), Mathematics and Applications (4 papers), Mathematical Dynamics and Fractals (3 papers), Advanced Numerical Analysis Techniques (3 papers), History and Theory of Mathematics (2 papers), Advanced Differential Equations and Dynamical Systems (2 papers) and Finite Group Theory Research (2 papers). The work is most often cited by research in Geometry and Topology (253 citations), Mathematical Physics (159 citations), Applied Mathematics (126 citations), Discrete Mathematics and Combinatorics (38 citations) and Algebra and Number Theory (17 citations). William Abikoff has collaborated with scholars based in United States, Netherlands and Germany. Frequent co-authors include Bernard Maskit, Andrew Haas, Clifford J. Earle, Joan S. Birman, Jane Gilman, Irwin Kra and Cathleen S. Morawetz. Their work appears in journals such as Bulletin of the London Mathematical Society, American Journal of Mathematics, Acta Mathematica, Annals of Mathematics and Journal d Analyse Mathématique.
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.