John Milnor

34.1k citations
111 papers · 17.6k indexed · 14 hit papers · h-index 58

John Milnor

109 papers receiving 13.5k citations

Hit Papers

Dynamics in One Complex Variable53819512026197620014008001.2k

Peers

John Milnor
Comparison fields: 5 of 166
  • Geometry and Topology 10.6k
  • Mathematical Physics 9.2k
  • Algebra and Number Theory 3.2k
  • Discrete Mathematics and Combinatorics 1.6k
  • Applied Mathematics 3.3k
Replace Walter Rudin with:
Walter Rudin United States
Jonathan M. Borwein Canada
Serge Lang United States
Edwin Hewitt United States
Sergey Fomin United States
Persi Diaconis United States
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N. J. A. Sloane United States
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John Milnor relative to Walter Rudin United States Walter Rudin's profile →
Citations per field
00.5×5.1×
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Citations per year

Countries citing papers authored by John Milnor

Since Specialization
Citations

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

Fields of papers citing papers by John Milnor

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 25 scholars most cited alongside John Milnor, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with John Milnor Line = papers co-authored together John Milnor links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1
Differential Topology Forty-six Years Later
20119
2 20113
3 201116
4 200110
5 198856
6 198568
7 198337
8 1977176
9
Curvatures of left invariant metrics on lie groupsbreakdown →
1976711
10 1970133
11 196935
12 1968141
13
Die De Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper (p.5 à 20) . Singularities of differentiable maps (p.21 à 57) . Solution of the congruence subgroup problem for SLn (n≧3) and Sp2n (n≧2) (p.59 à 137) . Algebraic equations for nonsmoothable 8-manifolds
196753
14 1966100
15
Lectures on the H-Cobordism Theorembreakdown →
1965520
16 196559
17 196474
18 196421
19 1959143
20
On the relationship between differentiable and combinatorial manifolds
19565

About John Milnor

John Milnor is a scholar working on Geometry and Topology, Theoretical Computer Science, Mathematical Physics, Algebra and Number Theory and Applied Mathematics, having authored 111 papers that have together received 17.6k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (27 papers), Geometric and Algebraic Topology (19 papers), Mathematics and Applications (17 papers), Mathematical Dynamics and Fractals (16 papers), Advanced Differential Equations and Dynamical Systems (12 papers), Geometric Analysis and Curvature Flows (10 papers), Algebraic Geometry and Number Theory (8 papers) and Advanced Topology and Set Theory (7 papers). The work is most often cited by research in Geometry and Topology (10.6k citations), Mathematical Physics (9.2k citations), Algebra and Number Theory (3.2k citations), Discrete Mathematics and Combinatorics (1.6k citations) and Applied Mathematics (3.3k citations). John Milnor has collaborated with scholars based in United States, Chile and France. Frequent co-authors include Edgar H. Brown, John C. Moore, James Stasheff, Michel Kervaire, Dale Husemöller, I. N. Herstein, Hyman Bass, Jean-Pierre Serre, Shmuel Friedland and Lloyd S. Shapley. Their work appears in journals such as Annals of Mathematics, Bulletin of the American Mathematical Society, American Journal of Mathematics, Commentarii Mathematici Helvetici and Experimental 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.

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