John Milnor

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

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