George E. Collins

5.1k citations
73 papers · 3.9k · h-index 27

Impact in

Papers in

George E. Collins

71 papers receiving 3.5k citations

Peers

George E. Collins
Comparison fields: 5 of 65
  • Computational Theory and Mathematics 2.8k
  • Computer Graphics and Computer-Aided Design 197
  • Modeling and Simulation 136
  • Geometry and Topology 189
  • Algebra and Number Theory 71
Replace Bruno Buchberger with:
Bruno Buchberger Austria
Erich Kaltofen United States
Victor Ya. Pan United States
Stéphane Gaubert France
Hoon Hong United States
Paul Zimmermann France
Mike Shub United States
George Labahn Canada
Stephen M. Watt Canada
Daniel Lazard B France
George E. Collins relative to Bruno Buchberger Austria Bruno Buchberger's profile →
Citations per field
00.5×1.5×1.9×
Bruno Buchberger · 1×
Citations per year

Countries citing papers authored by George E. Collins

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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 17 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.

Border = papers with George E. Collins Line = papers co-authored together George E. Collins links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 73 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1975491
2 1991416
3 1982307
4 1984254
5 1967250
6 1960213
7 1971191
8 1976162
9 1976159
10 1983110
11 1984101
12 199890
13 198289
14 199875
15 198864
16 197351
17 197650
18 200250
19
Improvements in cad-based quantifier elimination
199047
20 197446

About George E. Collins

George E. Collins is a scholar working on Computational Theory and Mathematics, Modeling and Simulation, Information Systems, Geometry and Topology and Algebra and Number Theory, having authored 73 papers that have together received 3.9k indexed citations. Recurring topics across this work include Polynomial and algebraic computation (63 papers), Cryptography and Residue Arithmetic (8 papers), Mathematical and Computational Methods (4 papers), Mathematical functions and polynomials (3 papers), Analytic Number Theory Research (2 papers), Complexity and Algorithms in Graphs (2 papers), Logic, programming, and type systems (2 papers) and Advanced Topology and Set Theory (2 papers). The work is most often cited by research in Computational Theory and Mathematics (2.8k citations), Computer Graphics and Computer-Aided Design (197 citations), Modeling and Simulation (136 citations), Geometry and Topology (189 citations) and Algebra and Number Theory (71 citations). George E. Collins has collaborated with scholars based in United States, Germany and Austria. Frequent co-authors include Hoon Hong, Rüdiger G. K. Loos, Scott McCallum, Dennis S. Arnon, Bruno Buchberger, Rudolf F. Albrecht, Alkiviadis G. Akritas, Werner Krandick, Jeremy Russell Johnson and Ellis Horowitz. Their work appears in journals such as SIAM Journal on Computing, Mathematics of Computation, Journal of the ACM, Communications 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.

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