George E. Collins
Impact in
- Computational Theory and Mathematics top 0.1%
- Polynomial and algebraic computation
- Numerical Methods and Algorithms
- Formal Methods in Verification
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- Computational Geometry and Mesh Generation
Papers in
-
- Polynomial and algebraic computation 40
- Numerical Methods and Algorithms 19
- Computability, Logic, AI Algorithms 7
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- Coding theory and cryptography 9
- Algorithms and Data Compression 9
- Co-authors
- Hoon Hong (3 shared papers)Rüdiger Loos (7 shared papers)Scott McCallum (5 shared papers)Dennis S. Arnon (5 shared papers)Bruno Buchberger (3 shared papers)R. Albrecht (2 shared papers)Alkiviadis G. Akritas (1 shared paper)Jeremy Johnson (4 shared papers)
- Journals
- Mathematics of Computation (4 papers)SIAM Journal on Computing (4 papers)Communications of the ACM (3 papers)Journal of the ACM (2 papers)Journal of Symbolic Computation (13 papers)
- Partner nations
- United StatesGermanyAustria
In The Last Decade
George E. Collins
83 papers receiving 3.6k citations
George E. Collins's Hit Papers
Peers
Comparison fields: 5 of 128
- Computational Theory and Mathematics 2.6k
- Computer Graphics and Computer-Aided Design 429
- Computational Mathematics 35
- Discrete Mathematics and Combinatorics 185
- Algebra and Number Theory 262
Countries citing papers authored by George E. Collins
This map shows the geographic impact of George E. Collins'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 George E. Collins with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites George E. Collins more than expected).
Fields of papers citing papers by George E. Collins
This network shows the impact of papers produced by George E. Collins. 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 George E. Collins. The network helps show where George E. Collins may publish in the future.
Co-authors
The 20 scholars most cited alongside George E. Collins, 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 86 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Quantifier elimination for real closed fields by cylindrical algebraic decompostion Hit paper breakdown → | 1975 | 460 |
| 2 | 1991 | 398 | |
| 3 | 1982 | 305 | |
| 4 | 1967 | 254 | |
| 5 | 1984 | 247 | |
| 6 | 1960 | 214 | |
| 7 | 1971 | 198 | |
| 8 | 1976 | 152 | |
| 9 | 1976 | 150 | |
| 10 | 1983 | 110 | |
| 11 | 1984 | 101 | |
| 12 | 1994 | 98 | |
| 13 | 1982 | 85 | |
| 14 | 1998 | 81 | |
| 15 | 1998 | 65 | |
| 16 | 1988 | 64 | |
| 17 | 2002 | 50 | |
| 18 | 1976 | 49 | |
| 19 | Improvements in cad-based quantifier elimination | 1990 | 47 |
| 20 | 1974 | 44 |
About George E. Collins
George E. Collins is a scholar working on Computational Theory and Mathematics, Artificial Intelligence, Discrete Mathematics and Combinatorics, Computational Mechanics and Geometry and Topology, having authored 86 papers that have together received 4.0k indexed citations. Recurring topics across this work include Polynomial and algebraic computation (40 papers), Numerical Methods and Algorithms (19 papers), Coding theory and cryptography (9 papers), Advanced Combinatorial Mathematics (9 papers), Algorithms and Data Compression (9 papers), Advanced Numerical Analysis Techniques (8 papers), Digital Filter Design and Implementation (7 papers) and Computability, Logic, AI Algorithms (7 papers). The work is most often cited by research in Computational Theory and Mathematics (2.6k citations), Computer Graphics and Computer-Aided Design (429 citations), Computational Mathematics (35 citations), Discrete Mathematics and Combinatorics (185 citations) and Algebra and Number Theory (262 citations). George E. Collins has collaborated with scholars based in United States, Germany and Austria. Frequent co-authors include Hoon Hong, Rüdiger Loos, Scott McCallum, Dennis S. Arnon, Bruno Buchberger, R. Albrecht, Alkiviadis G. Akritas, Jeremy Johnson, John Polich and Ellis Horowitz. Their work appears in journals such as Mathematics of Computation, SIAM Journal on Computing, Communications of the ACM, Journal of the ACM and Journal of Symbolic Computation.
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.