Michel Kervaire

3.5k total citations · 1 hit paper
48 papers, 1.8k citations indexed

About

Michel Kervaire is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Electrical and Electronic Engineering. According to data from OpenAlex, Michel Kervaire has authored 48 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 15 papers in Discrete Mathematics and Combinatorics and 13 papers in Electrical and Electronic Engineering. Recurrent topics in Michel Kervaire's work include graph theory and CDMA systems (13 papers), Finite Group Theory Research (11 papers) and Limits and Structures in Graph Theory (10 papers). Michel Kervaire is often cited by papers focused on graph theory and CDMA systems (13 papers), Finite Group Theory Research (11 papers) and Limits and Structures in Graph Theory (10 papers). Michel Kervaire collaborates with scholars based in Switzerland, France and United States. Michel Kervaire's co-authors include John Milnor, Shalom Eliahou, Bahman Saffari, M. Pavaman Murthy, K. Varadarajan, A. T. Vasquez, Manuel Ojanguren and Cédric Lecouvey and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Michel Kervaire

47 papers receiving 1.3k citations

Hit Papers

Groups of Homotopy Spheres: I 1963 2026 1984 2005 1963 100 200 300 400
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. Groups of Homotopy Spheres: I
    1963 493 citations Michel Kervaire 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
Michel Kervaire Switzerland 21 1.2k 844 462 415 271 48 1.8k
Dale Husemöller United States 9 750 0.6× 674 0.8× 325 0.7× 177 0.4× 187 0.7× 19 1.2k
Barry Mitchell United States 11 920 0.8× 761 0.9× 697 1.5× 469 1.1× 104 0.4× 25 1.7k
G. A. Margulis United States 27 1.1k 0.9× 1.4k 1.7× 277 0.6× 238 0.6× 405 1.5× 62 1.9k
Andy R. Magid United States 13 653 0.5× 455 0.5× 443 1.0× 324 0.8× 109 0.4× 82 1.2k
John R. Stallings United States 19 1.6k 1.3× 1.2k 1.4× 229 0.5× 584 1.4× 229 0.8× 30 2.1k
Walter D. Neumann United States 23 1.6k 1.3× 1.1k 1.3× 169 0.4× 354 0.9× 243 0.9× 83 1.8k
Richard G. Swan United States 28 2.0k 1.6× 1.4k 1.6× 1.4k 3.0× 481 1.2× 186 0.7× 72 2.9k
Ralph H. Fox United States 15 1.2k 0.9× 725 0.9× 210 0.5× 389 0.9× 54 0.2× 35 1.6k
Brian Sanderson United Kingdom 14 844 0.7× 708 0.8× 167 0.4× 312 0.8× 143 0.5× 29 1.2k
Tammo tom Dieck Germany 17 1.3k 1.0× 1.3k 1.5× 602 1.3× 180 0.4× 285 1.1× 64 1.9k

Countries citing papers authored by Michel Kervaire

Since Specialization
Citations

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

Fields of papers citing papers by Michel Kervaire

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michel Kervaire

This figure shows the co-authorship network connecting the top 25 collaborators of Michel Kervaire. A scholar is included among the top collaborators of Michel Kervaire 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 Michel Kervaire. Michel Kervaire 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.
Eliahou, Shalom, Michel Kervaire, & Cédric Lecouvey. (2008). On the product of vector spaces in a commutative field extension. Journal of Number Theory. 129(2). 339–348. 1 indexed citations
2.
Eliahou, Shalom & Michel Kervaire. (2007). BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS. International Journal of Number Theory. 3(4). 503–511. 3 indexed citations
3.
Eliahou, Shalom & Michel Kervaire. (2005). Sumsets in dihedral groups. European Journal of Combinatorics. 27(4). 617–628. 9 indexed citations
4.
Eliahou, Shalom & Michel Kervaire. (2005). A survey on modular Hadamard matrices. Discrete Mathematics. 302(1-3). 85–106. 4 indexed citations
5.
Eliahou, Shalom & Michel Kervaire. (2005). Minimal sumsets in infinite abelian groups. Journal of Algebra. 287(2). 449–457. 10 indexed citations
6.
Eliahou, Shalom, et al.. (2003). Optimally small sumsets in finite abelian groups. Journal of Number Theory. 101(2). 338–348. 21 indexed citations
7.
Eliahou, Shalom & Michel Kervaire. (2000). Restricted Sumsets in Finite Vector Spaces: The Case p=3. Zenodo (CERN European Organization for Nuclear Research). 2 indexed citations
8.
Eliahou, Shalom & Michel Kervaire. (1998). Sumsets in Vector Spaces over Finite Fields. Journal of Number Theory. 71(1). 12–39. 26 indexed citations
9.
Eliahou, Shalom & Michel Kervaire. (1997). A note on the equation. Journal of Statistical Planning and Inference. 62(1). 21–34. 9 indexed citations
10.
Kervaire, Michel. (1994). UNIMODULAR LATTICES WITH A COMPLETE ROOT SYSTEM. Archive ouverte UNIGE (University of Geneva). 8 indexed citations
11.
Eliahou, Shalom, Michel Kervaire, & Bahman Saffari. (1991). On Golay polynomial pairs. Advances in Applied Mathematics. 12(3). 235–292. 21 indexed citations
12.
Eliahou, Shalom, Michel Kervaire, & Bahman Saffari. (1990). A new restriction on the lengths of golay complementary sequences. Journal of Combinatorial Theory Series A. 55(1). 49–59. 60 indexed citations
13.
Kervaire, Michel & M. Pavaman Murthy. (1977). On the projective class group of cyclic groups of prime power order. Commentarii Mathematici Helvetici. 52(1). 415–452. 25 indexed citations
14.
Kervaire, Michel. (1974). Fractions rationnelles invariantes. French digital mathematics library (Numdam). 16. 170–189. 2 indexed citations
15.
Kervaire, Michel. (1969). Smooth homology spheres and their fundamental groups. Transactions of the American Mathematical Society. 144(0). 67–72. 73 indexed citations
16.
Kervaire, Michel. (1969). Smooth Homology Spheres and their Fundamental Groups. Transactions of the American Mathematical Society. 144. 67–67. 22 indexed citations
17.
Kervaire, Michel. (1965). Le théorème deBarden-Mazur-Stallings. Commentarii Mathematici Helvetici. 40(1). 31–42. 41 indexed citations
18.
Kervaire, Michel. (1960). Sur l'invariant deSmale d'un plongement. Commentarii Mathematici Helvetici. 34(1). 127–139. 22 indexed citations
19.
Kervaire, Michel. (1959). A Note on Obstructions and Characteristic Classes. American Journal of Mathematics. 81(3). 773–773. 24 indexed citations
20.
Kervaire, Michel. (1959). Sur le fibré normal à une variété plongée dans l'espace euclidien. Bulletin de la Société mathématique de France. 79. 397–401. 6 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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