Barry Mitchell

2.9k total citations · 2 hit papers
25 papers, 1.7k citations indexed

About

Barry Mitchell is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Barry Mitchell has authored 25 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Algebra and Number Theory, 13 papers in Mathematical Physics and 13 papers in Geometry and Topology. Recurrent topics in Barry Mitchell's work include Homotopy and Cohomology in Algebraic Topology (12 papers), Algebraic structures and combinatorial models (11 papers) and Advanced Topics in Algebra (9 papers). Barry Mitchell is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (12 papers), Algebraic structures and combinatorial models (11 papers) and Advanced Topics in Algebra (9 papers). Barry Mitchell collaborates with scholars based in United States and Canada. Barry Mitchell's co-authors include William S. Massey, John Isbell, Jan-Erik Roos, Saunders Mac Lane, P. J. Hilton, Stephen U. Chase, Hans-Berndt Brinkmann, F. William Lawvere, Charles Ehresmann and Friedrich Ulmer and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Barry Mitchell

23 papers receiving 1.3k citations

Hit Papers

Algebraic Topology: An Introduction. 1965 2026 1985 2005 1968 1965 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Algebraic Topology: An Introduction.
    1968 716 citations Barry Mitchell, William S. Massey American Mathematical Monthly profile →
  2. Theory of categories
    1965 494 citations Barry Mitchell CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Barry Mitchell United States 11 920 761 697 469 112 25 1.7k
Igor R. Shafarevich Russia 18 1.2k 1.3× 625 0.8× 454 0.7× 578 1.2× 206 1.8× 61 1.9k
Glen E. Bredon United States 16 968 1.1× 984 1.3× 352 0.5× 260 0.6× 143 1.3× 36 1.5k
Michel Kervaire Switzerland 21 1.2k 1.3× 844 1.1× 462 0.7× 415 0.9× 248 2.2× 48 1.8k
Joseph Rotman United States 14 926 1.0× 457 0.6× 751 1.1× 453 1.0× 334 3.0× 39 1.8k
William S. Massey United States 24 1.3k 1.4× 1.1k 1.5× 445 0.6× 603 1.3× 239 2.1× 47 2.5k
Wolfgang M. Schmidt United States 28 1.2k 1.3× 1.2k 1.5× 766 1.1× 664 1.4× 264 2.4× 146 2.4k
Brian Sanderson United Kingdom 14 844 0.9× 708 0.9× 167 0.2× 312 0.7× 249 2.2× 29 1.2k
Dale Husemöller United States 9 750 0.8× 674 0.9× 325 0.5× 177 0.4× 172 1.5× 19 1.2k
E. G. Straus United States 24 504 0.5× 337 0.4× 312 0.4× 809 1.7× 297 2.7× 102 1.9k
Louis Auslander United States 18 629 0.7× 600 0.8× 233 0.3× 193 0.4× 139 1.2× 60 1.6k

Countries citing papers authored by Barry Mitchell

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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 of co-authors of Barry Mitchell

This figure shows the co-authorship network connecting the top 25 collaborators of Barry Mitchell. A scholar is included among the top collaborators of Barry Mitchell based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Barry Mitchell. Barry Mitchell is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Mitchell, Barry. (1983). Low Dimensional Group Cohomology as Monoidal Structures. American Journal of Mathematics. 105(5). 1049–1049. 5 indexed citations
2.
Mitchell, Barry, et al.. (1982). Posets of cohomological dimension one with finitely many tails. Journal of Algebra. 77(2). 382–391. 5 indexed citations
3.
Mitchell, Barry. (1981). A quick proof of the Gabriel-Popesco theorem. Journal of Pure and Applied Algebra. 20(3). 313–315. 5 indexed citations
4.
Mitchell, Barry. (1981). A remark on projectives in functor categories. Journal of Algebra. 69(1). 24–31. 16 indexed citations
5.
Mitchell, Barry, et al.. (1980). Categories of fractions preserve dimension one. Communications in Algebra. 8(10). 927–939. 6 indexed citations
6.
Mitchell, Barry, et al.. (1978). DCC posets of cohomological dimension one. Journal of Pure and Applied Algebra. 13(2). 125–137. 9 indexed citations
7.
Isbell, John & Barry Mitchell. (1976). Exact Colimits and Fixed Points. Transactions of the American Mathematical Society. 220. 289–289. 2 indexed citations
8.
Mitchell, Barry, et al.. (1974). On the difference between cohomological dimension and homological dimension. Journal of Pure and Applied Algebra. 5(3). 333–343. 7 indexed citations
9.
Mitchell, Barry. (1973). The Cohomological Dimension of a Directed Set. Canadian Journal of Mathematics. 25(2). 233–238. 24 indexed citations
10.
Mitchell, Barry. (1972). Rings with several objects. Advances in Mathematics. 8(1). 1–161. 265 indexed citations
11.
Mitchell, Barry. (1972). The Dominion of Isbell. Transactions of the American Mathematical Society. 167. 319–319. 2 indexed citations
12.
Mitchell, Barry. (1972). The dominion of Isbell. Transactions of the American Mathematical Society. 167(0). 319–331. 13 indexed citations
13.
Mitchell, Barry. (1969). Spectral Sequences for the Layman. American Mathematical Monthly. 76(6). 599–605. 2 indexed citations
14.
Mitchell, Barry, Jan-Erik Roos, Friedrich Ulmer, et al.. (1969). Category Theory, Homology Theory and their Applications II. Lecture notes in mathematics. 43 indexed citations
15.
Mitchell, Barry. (1968). On the dimension of objects and categories II. Finite ordered sets. Journal of Algebra. 9(3). 341–368. 20 indexed citations
16.
Mitchell, Barry. (1968). On the dimension of objects and categories I. Monoids. Journal of Algebra. 9(3). 314–340. 16 indexed citations
17.
Mitchell, Barry & William S. Massey. (1968). Algebraic Topology: An Introduction.. American Mathematical Monthly. 75(4). 427–427. 716 indexed citations breakdown →
18.
Mitchell, Barry. (1965). Theory of categories. CERN Document Server (European Organization for Nuclear Research). 494 indexed citations breakdown →
19.
Mitchell, Barry. (1964). The Full Imbedding Theorem. American Journal of Mathematics. 86(3). 619–619. 25 indexed citations
20.
Mitchell, Barry, et al.. (1952). Elementary divisors of certain matrices. Duke Mathematical Journal. 19(3). 5 indexed citations

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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