2026 John Milnor: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	76	188	155	110	86	220	43628

John Milnor publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where John Milnor sits on this spectrum.

42 publications 537+

This scientist: 220 publications — 69th percentile

69% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

John Milnor D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where John Milnor sits on this spectrum.

30 D-Index 86+

This scientist: 76 D-Index — 95th percentile

95% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

2026 - Research.com Mathematics in United States Leader Award
2025 - Research.com Mathematics in United States Leader Award
2014 - Fellow of the American Mathematical Society For contributions to differential topology, geometric topology, algebraic topology, algebra, and dynamical systems.
2011 - Steele Prize for Lifetime Achievement
2011 - Abel Prize For pioneering discoveries in topology, geometry, and algebra.
2004 - Member of the European Academy of Sciences
2004 - Steele Prize for Mathematical Exposition
1989 - Wolf Prize in Mathematics for ingenious and highly original discoveries in geometry, which have opened important new vistas in topology from the algebraic, combinatorial, and differentiable viewpoint.
1966 - US President's National Medal of Science "For clever and ingenious approaches in topology which have solved long outstanding problems and opened new exciting areas in this active branch of mathematics.", Presented by President Johnson at a White House ceremony on February 6, 1967.
1963 - Member of the National Academy of Sciences
1962 - Fields Medal of International Mathematical Union (IMU) Proved that a 7-dimensional sphere can have several differential structures; this led to the creation of the field of differential topology.
1961 - Fellow of the American Academy of Arts and Sciences
1955 - Fellow of Alfred P. Sloan Foundation

Overview

John Milnor is affiliated with Stony Brook University in the United States and specializes in the field of Mathematics, with a focus on Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, and Statistical and Nonlinear Physics.

Their research covers several topics including:

Mathematical Dynamics and Fractals
Semigroups and Automata Theory
Advanced Combinatorial Mathematics
Algebraic Geometry and Number Theory
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Cellular Automata and Applications

Milnor's frequent coauthors include Araceli Bonifant and Scott Sutherland.

Publications by Milnor have appeared primarily in the following venues:

arXiv (Cornell University)
Conformal Geometry and Dynamics of the American Mathematical Society
Bulletin of the American Mathematical Society

Best Publications

Singular points of complex hypersurfaces

John Willard Milnor

3737
Citations
On the Structure of Hopf Algebras

John W. Milnor;John C. Moore

2295
Citations
Introduction to algebraic K-theory

John Willard Milnor

2021
Citations
Curvatures of left invariant metrics on lie groups

John Milnor

1943
Citations
Dynamics in one complex variable

John Willard Milnor

1798
Citations
Topology from the differentiable viewpoint

John Willard Milnor

1738
Citations
Lectures on the h-cobordism theorem

John Willard Milnor

1493
Citations
Groups of Homotopy Spheres: I

M. A. Kervaire;John Willard Milnor

1412
Citations
On the Concept of Attractor

John Milnor

1409
Citations
Symmetric bilinear forms

John Willard Milnor;Dale Husemöller

1276
Citations
On iterated maps of the interval

John Milnor;William Thurston

1127
Citations
AN AXIOMATIC APPROACH TO MEASURABLE UTILITY

I. N. Herstein;John Milnor

956
Citations
Construction of Universal Bundles, II

John Milnor

849
Citations
Solution of the congruence subgroup problem for $SL_n (n \ge 3)$ and $Sp_{2n} (n \ge 2)$

Hyman Bass;John Milnor;Jean-Pierre Serre

843
Citations
A note on curvature and fundamental group

J. Milnor

835
Citations
Characteristic Classes. (AM-76)

Unknown

804
Citations
Algebraic K-theory and quadratic forms

John Milnor

794
Citations
On the Betti numbers of real varieties

J. Milnor

792
Citations
On Manifolds Homeomorphic to the 7-Sphere

John Milnor

764
Citations
THE STEENROD ALGEBRA AND ITS DUAL1

John Milnor

728
Citations
Dynamics in One Complex Variable: Introductory Lectures

John Willard Milnor

668
Citations

Frequent Co-Authors

Lloyd S. Shapley University of California, Los Angeles

Curtis T. McMullen Harvard University

Robert L. Devaney Boston University

George Lusztig MIT

Camillo De Lellis Institute for Advanced Study

Shmuel Friedland University of Illinois at Chicago

J. H. C. Whitehead University of Oxford

William P. Thurston Cornell University

Morris W. Hirsch University of California, Berkeley

External Links

Wikipedia of John Milnor Personal website of John Milnor

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