John Milnor

32.5k citations
148 papers · 21.6k · 13 hit papers · h-index 65

Impact in

    • Homotopy and Cohomology in Algebraic Topology
    • Mathematical Dynamics and Fractals
    • Advanced Algebra and Geometry
    • Geometric and Algebraic Topology
    • Algebraic Geometry and Number Theory

Papers in

    • Mathematical Dynamics and Fractals 31
    • Homotopy and Cohomology in Algebraic Topology 27
    • Geometric and Algebraic Topology 32
    • Algebraic Geometry and Number Theory 8

John Milnor

141 papers receiving 17.2k citations

John Milnor's Hit Papers

Dynamics in One Complex Variable 2000 · 611 citations
6110+24+48Years since publication4008001.2k

Peers

John Milnor
Comparison fields: 5 of 89
  • Mathematical Physics 6.0k
  • Geometry and Topology 5.6k
  • Algebra and Number Theory 661
  • General Decision Sciences 300
  • Discrete Mathematics and Combinatorics 248
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John Milnor relative to Serge Lang United States Serge Lang's profile →
Citations per field
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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-authors

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

Showing the 20 most-cited of 148 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Singular points of complex hypersurfaces
Hit paper breakdown →
19681482
2
Morse Theory. (AM-51)
Hit paper breakdown →
19631043
3
Topology from the Differentiable Viewpoint.
Hit paper breakdown →
1967975
4
On the Structure of Hopf Algebras
Hit paper breakdown →
1965942
5
Introduction to algebraic K-theory
Hit paper breakdown →
1971883
6
Characteristic Classes. (AM-76)
Hit paper breakdown →
1974849
7
Curvatures of left invariant metrics on lie groups
Hit paper breakdown →
1976825
8
On the concept of attractor
Hit paper breakdown →
1985720
9 1973646
10
Dynamics in One Complex Variable
Hit paper breakdown →
2000611
11 1963604
12
Lectures on the H-Cobordism Theorem
Hit paper breakdown →
1965593
13
On iterated maps of the interval
Hit paper breakdown →
1988496
14
An Axiomatic Approach to Measurable Utility
Hit paper breakdown →
1953475
15 1969395
16 1966393
17 1968369
18 1967366
19 1964351
20 1970347

About John Milnor

John Milnor is a scholar working on Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Management Science and Operations Research and Computational Theory and Mathematics, having authored 148 papers that have together received 21.6k indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (32 papers), Mathematical Dynamics and Fractals (31 papers), Homotopy and Cohomology in Algebraic Topology (27 papers), Algebraic Geometry and Number Theory (8 papers), Advanced Differential Geometry Research (4 papers), Game Theory and Applications (4 papers), Cellular Automata and Applications (2 papers) and History and Theory of Mathematics (1 paper). The work is most often cited by research in Mathematical Physics (6.0k citations), Geometry and Topology (5.6k citations), Algebra and Number Theory (661 citations), General Decision Sciences (300 citations) and Discrete Mathematics and Combinatorics (248 citations). John Milnor has collaborated with scholars based in United States, France and Chile. Frequent co-authors include James Dillon Stasheff, Edgar H. Brown, John C. Moore, Michel A. Kervaire, Dale H. Husemoller, William P.HG Thurston, I. N. Herstein, Jean-Pierre Serre, Hyman Bass and Shmuel Friedland. Their work appears in journals such as Annals of Mathematics, Bulletin of the American Mathematical Society, Commentarii Mathematici Helvetici, American Journal of Mathematics 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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