Stephen Halperin

3.9k total citations · 2 hit papers
86 papers, 2.0k citations indexed

About

Stephen Halperin is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Stephen Halperin has authored 86 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Mathematical Physics, 60 papers in Geometry and Topology and 45 papers in Algebra and Number Theory. Recurrent topics in Stephen Halperin's work include Homotopy and Cohomology in Algebraic Topology (59 papers), Algebraic structures and combinatorial models (52 papers) and Advanced Topics in Algebra (43 papers). Stephen Halperin is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (59 papers), Algebraic structures and combinatorial models (52 papers) and Advanced Topics in Algebra (43 papers). Stephen Halperin collaborates with scholars based in Canada, France and Belgium. Stephen Halperin's co-authors include Yves Félix, Jean‐Claude Thomas, Ray Vanstone, Werner Greub, James Stasheff, Karsten Grove, Domingo Toledo, Peter D. Drummond, Paula R. Nathan and David Castle and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Stephen Halperin

80 papers receiving 1.6k citations

Hit Papers

Connections, curvature and cohomology 1972 2026 1990 2008 1972 2001 100 200 300
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. Connections, curvature and cohomology
    1972 341 citations Werner Greub, Stephen Halperin et al. CERN Document Server (European Organization for Nuclear Research) profile →
  2. Rational Homotopy Theory
    2001 248 citations Yves Félix, Stephen Halperin 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
Stephen Halperin Canada 22 1.5k 1.5k 925 198 126 86 2.0k
Jean-Pierre Tignol Belgium 23 769 0.5× 1.2k 0.8× 717 0.8× 70 0.4× 156 1.2× 164 2.2k
Bernard Maskit United States 22 620 0.4× 998 0.7× 46 0.0× 440 2.2× 122 1.0× 72 1.4k
T. A. Springer Netherlands 26 2.3k 1.5× 2.3k 1.5× 965 1.0× 121 0.6× 172 1.4× 76 3.2k
Edward Frenkel United States 29 1.0k 0.7× 2.4k 1.6× 1.4k 1.5× 26 0.1× 42 0.3× 86 2.7k
James A. Jenkins United States 18 198 0.1× 914 0.6× 113 0.1× 800 4.0× 202 1.6× 152 1.7k
Kurt Johansson Sweden 22 1.5k 1.0× 252 0.2× 79 0.1× 235 1.2× 65 0.5× 51 2.6k
James Gray United Kingdom 23 316 0.2× 508 0.3× 44 0.0× 45 0.2× 43 0.3× 54 1.4k
George A. Elliott Canada 26 1.9k 1.3× 644 0.4× 1.7k 1.9× 307 1.6× 326 2.6× 122 2.4k
Mikael Rørdam Denmark 28 2.1k 1.4× 609 0.4× 1.8k 1.9× 339 1.7× 117 0.9× 66 2.1k
Joseph L. Taylor United States 15 765 0.5× 370 0.3× 556 0.6× 542 2.7× 221 1.8× 42 1.2k

Countries citing papers authored by Stephen Halperin

Since Specialization
Citations

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

Fields of papers citing papers by Stephen Halperin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen Halperin. 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 Stephen Halperin. The network helps show where Stephen Halperin may publish in the future.

Co-authorship network of co-authors of Stephen Halperin

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen Halperin. A scholar is included among the top collaborators of Stephen Halperin 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 Stephen Halperin. Stephen Halperin 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.
Félix, Yves & Stephen Halperin. (2023). Rational homotopy via Sullivan models and enriched Lie algebras. 10(1). 101–122.
2.
Herrman, Helen, Cathy Humphreys, Stephen Halperin, et al.. (2016). A controlled trial of implementing a complex mental health intervention for carers of vulnerable young people living in out-of-home care: the ripple project. BMC Psychiatry. 16(1). 436–436. 12 indexed citations
3.
Félix, Yves, Stephen Halperin, & Jean‐Claude Thomas. (2009). The structure of homotopy Lie algebras. Commentarii Mathematici Helvetici. 84(4). 807–833. 1 indexed citations
4.
Félix, Yves, Stephen Halperin, & Jean‐Claude Thomas. (2006). An asymptotic formula for the ranks of homotopy groups. Topology and its Applications. 153(18). 3430–3436. 2 indexed citations
5.
Félix, Yves, Stephen Halperin, & J. C. Thomas. (2003). Torsion primes in loop space homology. Topology. 43(2). 493–496.
6.
Félix, Yves, Stephen Halperin, & Jean‐Claude Thomas. (2002). Lusternik–Schnirelmann category of skeleta. Topology and its Applications. 125(2). 357–361. 2 indexed citations
7.
Félix, Yves, Stephen Halperin, & Jean-Michel Lemaire. (1998). The rational ls category of products and of Poincaré duality complexes. Topology. 37(4). 749–756. 21 indexed citations
8.
Félix, Yves, Stephen Halperin, & J. C. Thomas. (1994). Hopf Algebras and a Counterexample to a Conjecture of Anick. Journal of Algebra. 169(1). 176–193.
9.
Halperin, Stephen. (1992). Universal enveloping algebras and loop space homology. Journal of Pure and Applied Algebra. 83(3). 237–282. 25 indexed citations
10.
Félix, Yves, Stephen Halperin, & Jean‐Claude Thomas. (1992). Adams’ cobar equivalence. Transactions of the American Mathematical Society. 329(2). 531–549. 34 indexed citations
11.
Halperin, Stephen. (1991). Torsion gaps in the homotopy of finite complexes II. Topology. 30(3). 471–478. 6 indexed citations
12.
Félix, Yves, Stephen Halperin, & Jean‐Claude Thomas. (1988). Gorenstein spaces. Advances in Mathematics. 71(1). 92–112. 48 indexed citations
13.
Avramov, Luchézar L., Hans‐Bjørn Foxby, & Stephen Halperin. (1985). Descent and ascent of local properties along homomorphisms of finite flat dimension. Journal of Pure and Applied Algebra. 38(2-3). 167–185. 11 indexed citations
14.
Félix, Yves & Stephen Halperin. (1982). Rational L.-S. Category and Its Applications. Transactions of the American Mathematical Society. 273(1). 1–1. 87 indexed citations
15.
Halperin, Stephen & James Stasheff. (1979). Obstructions to homotopy equivalences. Advances in Mathematics. 32(3). 233–279. 122 indexed citations
16.
Halperin, Stephen. (1978). Rational fibrations, minimal models, and fibrings of homogeneous spaces. Transactions of the American Mathematical Society. 244(0). 199–224. 29 indexed citations
17.
Greub, Werner, Stephen Halperin, & Ray Vanstone. (1976). Cohomology of principal bundles and homogeneous spaces. Academic Press eBooks. 6 indexed citations
18.
Halperin, Stephen, et al.. (1975). An intrinsic definition of the Dirac operator. Collectanea mathematica. 26(1). 19–38. 1 indexed citations
19.
Greub, Werner, Stephen Halperin, & Ray Vanstone. (1973). Lie groups, principal bundles, and characteristic classes. Academic Press eBooks. 13 indexed citations
20.
Greub, Werner, Stephen Halperin, & Ray Vanstone. (1972). Connections, curvature and cohomology. CERN Document Server (European Organization for Nuclear Research). 341 indexed citations breakdown →

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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