Barry Mitchell
- Algebra and Number Theory top 1%
- Advanced Topics in Algebra 9
- Rings, Modules, and Algebras 7
- Commutative Algebra and Its Applications 4
- Geometry and Topology top 0.5%
- Algebraic structures and combinatorial models 11
- Mathematical Physics top 1%
- Homotopy and Cohomology in Algebraic Topology 12
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- Matrix Theory and Algorithms 4
- Topological and Geometric Data Analysis 2
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- Advanced Mathematical Theories and Applications 2
- Co-authors
- William S. MasseyJohn IsbellFriedrich UlmerF. William LawvereCharles EhresmannStephen U. ChaseHans-Berndt BrinkmannJan-Erik Roos
- Journals
- Journal of Algebra (4 papers)Transactions of the American Mathematical Society (4 papers)Journal of Pure and Applied Algebra (3 papers)
- Partner nations
- United StatesCanada
In The Last Decade
Barry Mitchell
23 papers receiving 1.3k citations
Hit Papers
Peers
Comparison fields: 5 of 91
- Algebra and Number Theory 697
- Geometry and Topology 920
- Mathematical Physics 761
- Discrete Mathematics and Combinatorics 112
- Computational Theory and Mathematics 469
Countries citing papers authored by Barry Mitchell
This map shows the geographic impact of Barry Mitchell'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 Barry Mitchell with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Barry Mitchell more than expected).
Fields of papers citing papers by Barry Mitchell
This network shows the impact of papers produced by Barry Mitchell. 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 Barry Mitchell. The network helps show where Barry Mitchell may publish in the future.
Co-authorship network
The 11 scholars most cited alongside Barry Mitchell, 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 | 1983 | 5 | |
| 2 | 1982 | 5 | |
| 3 | 1981 | 16 | |
| 4 | 1981 | 5 | |
| 5 | 1980 | 6 | |
| 6 | 1978 | 9 | |
| 7 | 1976 | 2 | |
| 8 | 1974 | 7 | |
| 9 | 1973 | 24 | |
| 10 | 1972 | 265 | |
| 11 | 1972 | 2 | |
| 12 | 1972 | 13 | |
| 13 | 1969 | 2 | |
| 14 | 1968 | 20 | |
| 15 | 1968 | 16 | |
| 16 | Algebraic Topology: An Introduction.breakdown → | 1968 | 716 |
| 17 | Theory of categoriesbreakdown → | 1965 | 494 |
| 18 | 1964 | 25 | |
| 19 | 1953 | 2 | |
| 20 | 1952 | 5 |
About Barry Mitchell
Barry Mitchell is a scholar working on Algebra and Number Theory, Geometry and Topology, Mathematical Physics, Theoretical Computer Science and Computational Theory and Mathematics, having authored 25 papers that have together received 1.7k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (12 papers), Algebraic structures and combinatorial models (11 papers), Advanced Topics in Algebra (9 papers), Rings, Modules, and Algebras (7 papers), Commutative Algebra and Its Applications (4 papers), Matrix Theory and Algorithms (4 papers), Advanced Mathematical Theories and Applications (2 papers) and Topological and Geometric Data Analysis (2 papers). The work is most often cited by research in Algebra and Number Theory (697 citations), Geometry and Topology (920 citations), Mathematical Physics (761 citations), Discrete Mathematics and Combinatorics (112 citations) and Computational Theory and Mathematics (469 citations). Barry Mitchell has collaborated with scholars based in United States and Canada. Frequent co-authors include William S. Massey, John Isbell, Friedrich Ulmer, F. William Lawvere, Charles Ehresmann, Stephen U. Chase, Hans-Berndt Brinkmann, Jan-Erik Roos, K. W. Gruenberg and Saunders Mac Lane. Their work appears in journals such as Journal of Algebra, Transactions of the American Mathematical Society, Journal of Pure and Applied Algebra, American Journal of Mathematics and Canadian Journal of Mathematics.
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.