John Milnor
Impact in
- Geometry and Topology top 0.01%
- Geometric and Algebraic Topology
- Algebraic Geometry and Number Theory
- Algebraic structures and combinatorial models
- Mathematical Physics top 0.01%
- Homotopy and Cohomology in Algebraic Topology
- Mathematical Dynamics and Fractals
- Advanced Algebra and Geometry
Papers in
-
- Geometric and Algebraic Topology 21
- Mathematics and Applications 20
- Advanced Differential Equations and Dynamical Systems 18
-
- Homotopy and Cohomology in Algebraic Topology 30
- Mathematical Dynamics and Fractals 25
- Co-authors
- Edgar H. Brown (1 shared paper)John C. Moore (1 shared paper)James Stasheff (5 shared papers)Michel Kervaire (2 shared papers)Dale Husemöller (2 shared papers)I. N. Herstein (1 shared paper)William P. Thurston (1 shared paper)Hyman Bass (2 shared papers)
- Journals
- Annals of Mathematics (12 papers)Bulletin of the American Mathematical Society (6 papers)Topology (4 papers)Experimental Mathematics (4 papers)Commentarii Mathematici Helvetici (4 papers)
- Partner nations
- United StatesChileFrance
In The Last Decade
John Milnor
135 papers receiving 16.3k citations
John Milnor's Hit Papers
Peers
Comparison fields: 5 of 169
- Geometry and Topology 12.4k
- Mathematical Physics 11.2k
- Algebra and Number Theory 3.8k
- Discrete Mathematics and Combinatorics 1.8k
- Applied Mathematics 3.8k
Countries citing papers authored by John Milnor
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
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.
All Works
Showing the 20 most-cited of 137 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Singular points of complex hypersurfaces Hit paper breakdown → | 1968 | 1449 |
| 2 | Morse Theory. (AM-51) Hit paper breakdown → | 1963 | 1004 |
| 3 | Topology from the Differentiable Viewpoint. Hit paper breakdown → | 1967 | 997 |
| 4 | On the Structure of Hopf Algebras Hit paper breakdown → | 1965 | 931 |
| 5 | Introduction to algebraic K-theory Hit paper breakdown → | 1971 | 875 |
| 6 | Characteristic Classes. (AM-76) Hit paper breakdown → | 1974 | 759 |
| 7 | Curvatures of left invariant metrics on lie groups Hit paper breakdown → | 1976 | 752 |
| 8 | On the concept of attractor Hit paper breakdown → | 1985 | 688 |
| 9 | Symmetric Bilinear Forms Hit paper breakdown → | 1973 | 622 |
| 10 | Lectures on the H-Cobordism Theorem Hit paper breakdown → | 1965 | 591 |
| 11 | Dynamics in One Complex Variable Hit paper breakdown → | 2000 | 588 |
| 12 | Groups of Homotopy Spheres: I Hit paper breakdown → | 1963 | 574 |
| 13 | Dynamics in One Complex Variable Introductory Lectures Hit paper breakdown → | 2000 | 536 |
| 14 | An Axiomatic Approach to Measurable Utility Hit paper breakdown → | 1953 | 514 |
| 15 | 1988 | 471 | |
| 16 | 1969 | 373 | |
| 17 | 1968 | 368 | |
| 18 | 1966 | 362 | |
| 19 | 1967 | 345 | |
| 20 | 1956 | 337 |
About John Milnor
John Milnor is a scholar working on Geometry and Topology, Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics and Algebra and Number Theory, having authored 137 papers that have together received 21.1k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (30 papers), Mathematical Dynamics and Fractals (25 papers), Geometric and Algebraic Topology (21 papers), Mathematics and Applications (20 papers), Advanced Differential Equations and Dynamical Systems (18 papers), Geometric Analysis and Curvature Flows (12 papers), Quantum chaos and dynamical systems (10 papers) and History and Theory of Mathematics (9 papers). The work is most often cited by research in Geometry and Topology (12.4k citations), Mathematical Physics (11.2k citations), Algebra and Number Theory (3.8k citations), Discrete Mathematics and Combinatorics (1.8k citations) and Applied Mathematics (3.8k 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, William P. Thurston, Hyman Bass, Jean-Pierre Serre and Shmuel Friedland. Their work appears in journals such as Annals of Mathematics, Bulletin of the American Mathematical Society, Topology, Experimental Mathematics and Commentarii Mathematici Helvetici.
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.