A. K. Bousfield

5.8k total citations · 1 hit paper
48 papers, 3.1k citations indexed

About

A. K. Bousfield is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, A. K. Bousfield has authored 48 papers receiving a total of 3.1k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Mathematical Physics, 27 papers in Geometry and Topology and 22 papers in Algebra and Number Theory. Recurrent topics in A. K. Bousfield's work include Homotopy and Cohomology in Algebraic Topology (36 papers), Advanced Topics in Algebra (20 papers) and Algebraic structures and combinatorial models (13 papers). A. K. Bousfield is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (36 papers), Advanced Topics in Algebra (20 papers) and Algebraic structures and combinatorial models (13 papers). A. K. Bousfield collaborates with scholars based in United States, Denmark and Germany. A. K. Bousfield's co-authors include Daniel M. Kan, W. A. Bousfield, V. K. A. M. Gugenheim, D Kan, Edward B. Curtis, Daniel Quillen, David L. Rector, Chris Peterson, Larry Smith and Tobias Barthel and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

A. K. Bousfield

46 papers receiving 2.5k citations

Hit Papers

Homotopy Limits, Completions and Localizations 1972 2026 1990 2008 1972 250 500 750 1000
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. Homotopy Limits, Completions and Localizations
    1972 1.0k citations A. K. Bousfield et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
A. K. Bousfield United States 23 2.6k 2.3k 1.4k 290 138 48 3.1k
Haskell P. Rosenthal United States 28 2.3k 0.9× 773 0.3× 541 0.4× 400 1.4× 65 0.5× 67 3.0k
Robert Lee Wilson United States 22 532 0.2× 1.3k 0.5× 1.1k 0.8× 97 0.3× 39 0.3× 97 2.1k
R. C. Vaughan United States 26 823 0.3× 1.1k 0.5× 2.2k 1.6× 159 0.5× 240 1.7× 113 2.8k
Leonard Gillman United States 17 1.8k 0.7× 3.1k 1.3× 3.5k 2.4× 1.0k 3.5× 77 0.6× 53 4.6k
Thomas Ward United Kingdom 17 844 0.3× 601 0.3× 193 0.1× 316 1.1× 124 0.9× 81 1.3k
Murray Gerstenhaber United States 24 1.8k 0.7× 2.3k 1.0× 2.3k 1.6× 204 0.7× 39 0.3× 77 2.8k
André Weil United States 26 2.3k 0.9× 2.1k 0.9× 1.0k 0.7× 360 1.2× 200 1.4× 62 3.8k
F. William Lawvere United States 12 572 0.2× 481 0.2× 267 0.2× 710 2.4× 601 4.4× 31 1.5k
Ieke Moerdijk Netherlands 24 1.7k 0.7× 1.4k 0.6× 1.1k 0.7× 550 1.9× 480 3.5× 103 2.4k
Jan Mycielski United States 17 381 0.1× 586 0.3× 147 0.1× 707 2.4× 219 1.6× 113 1.3k

Countries citing papers authored by A. K. Bousfield

Since Specialization
Citations

This map shows the geographic impact of A. K. Bousfield'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 A. K. Bousfield with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. K. Bousfield more than expected).

Fields of papers citing papers by A. K. Bousfield

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. K. Bousfield. 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 A. K. Bousfield. The network helps show where A. K. Bousfield may publish in the future.

Co-authorship network of co-authors of A. K. Bousfield

This figure shows the co-authorship network connecting the top 25 collaborators of A. K. Bousfield. A scholar is included among the top collaborators of A. K. Bousfield 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 A. K. Bousfield. A. K. Bousfield 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.
Bousfield, A. K.. (2007). Kunneth theorems and unstable operations in 2-adic KO-cohomology. Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology. 1(3). 395–430. 1 indexed citations
2.
Bousfield, A. K.. (2004). On the 2-primary v1-periodic homotopy groups of spaces. Topology. 44(2). 381–413. 7 indexed citations
3.
Bousfield, A. K.. (1999). THE K-THEORY LOCALIZATIONS AND v1-PERIODIC HOMOTOPY GROUPS OF H-SPACES. Topology. 38(6). 1239–1264. 16 indexed citations
4.
Bousfield, A. K.. (1994). Localization and Periodicity in Unstable Homotopy Theory. Journal of the American Mathematical Society. 7(4). 831–831. 23 indexed citations
5.
Bousfield, A. K.. (1994). Localization and periodicity in unstable homotopy theory. Journal of the American Mathematical Society. 7(4). 831–873. 57 indexed citations
6.
Bousfield, A. K.. (1990). A classification of K-local spectra. Journal of Pure and Applied Algebra. 66(2). 121–163. 34 indexed citations
7.
Bousfield, A. K.. (1985). On the Homotopy Theory of K-Local Spectra at an Odd Prime. American Journal of Mathematics. 107(4). 895–895. 30 indexed citations
8.
Bousfield, A. K.. (1983). Correction to ‘The boolean algebra of spectra’. Commentarii Mathematici Helvetici. 58(1). 599–600. 7 indexed citations
9.
Bousfield, A. K.. (1982). On Homology Equivalences and Homological Localizations of Spaces. American Journal of Mathematics. 104(5). 1025–1025. 15 indexed citations
10.
Bousfield, A. K.. (1982). K-Localizations and K-Equivalences of Infinite Loop Spaces. Proceedings of the London Mathematical Society. s3-44(2). 291–311. 21 indexed citations
11.
Bousfield, A. K.. (1979). The localization of spectra with respect to homology. Topology. 18(4). 257–281. 344 indexed citations
12.
Bousfield, A. K. & V. K. A. M. Gugenheim. (1976). On PL De Rham Theory and Rational Homotopy Type. Medical Entomology and Zoology. 196 indexed citations
13.
Bousfield, A. K. & V. K. A. M. Gugenheim. (1976). On 𝑃𝐿 de Rham theory and rational homotopy type. Memoirs of the American Mathematical Society. 8(179). 0–0. 53 indexed citations
14.
Bousfield, A. K. & D Kan. (1973). Pairings and products in the homotopy spectral sequence. Transactions of the American Mathematical Society. 177(0). 319–343. 11 indexed citations
15.
Bousfield, A. K. & D Kan. (1973). A Second Quadrant Homotopy Spectral Sequence. Transactions of the American Mathematical Society. 177. 305–305. 4 indexed citations
16.
Bousfield, A. K. & D Kan. (1972). The core of a ring. Journal of Pure and Applied Algebra. 2(1). 73–81. 25 indexed citations
17.
Bousfield, A. K.. (1970). Nice Homology Coalgebras. Transactions of the American Mathematical Society. 148(2). 473–473. 9 indexed citations
18.
Bousfield, A. K. & Edward B. Curtis. (1970). A spectral sequence for the homotopy of nice spaces. Transactions of the American Mathematical Society. 151(2). 457–457. 29 indexed citations
19.
Bousfield, A. K.. (1970). A vanishing theorem for the unstable Adams spectral sequence. Topology. 9(4). 337–344. 10 indexed citations
20.
Bousfield, A. K., et al.. (1966). The mod-p lower central series and the Adams spectral sequence. Topology. 5(4). 331–342. 92 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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