The

**1964** C D Papakyriakopoulos

... for his papers "On Solid Tori", and "On Dehn's lemma and the asphericity of knots".

**1964** Raoul Bott

... for his papers "The space of loops on a Lie group", and "The stable homotopy of the classical groups".

**1966** Stephen Smale

... for his contributions to various aspects of differential topology.

**1966** Morton Brown and Barry Mazur

... for their work on the generalized Schoenflies theorem.

**1971** Robion C Kirby

... for his paper "Stable homeomorphisms and the annulus conjecture".

**1971** Dennis P Sullivan

... for his work on the Hauptvermutung summarized in the paper "On the Hauptvermutung for manifolds".

**1976** William P Thurston

... for his work on foliations.

**1976** James Simons

... for his work on minimal varieties and characteristic forms.

**1981** Mikhael Gromov

... for his work relating topological and geometric properties of Riemannian manifolds.

**1981** Shing-Tung Yau

... for his work in nonlinear partial differential equations, his contributions to the topology of differentiable manifolds, and for his work on the complex Monge-Ampère equation on compact complex manifolds.

**1986** Michael H Freedman

... for his work in differential geometry and, in particular, the solution of the four-dimensional Poincaré conjecture.

**1991** Andrew J Casson

... for his work on the topology of low-dimensional manifolds, and to Clifford H Taubes for his foundational work in Yang-Mills theory.

**1996** Richard Hamilton

... for his continuing study of the Ricci flow and related parabolic equations for a Riemannian metric, and to Gang Tian for his contributions to geometric analysis.

**2001** Jeff Cheeger

... for his work in differential geometry, to Yakov Eliashberg for his work in symplectic and contact topology, and to Michael J Hopkins for his work in homotopy theory.

**2004** David Gabai

... in recognition of his work in geometric topology, in particular, the topology of3-dimensional manifolds.

**2007** Peter Kronheimer and Tomasz Mrowka

... for their joint contributions to both three- and four-dimensional topology through the development of deep analytical techniques and applications.

2007 Peter Ozsváth and Zoltán Szabó

... for their contributions to3- and4-dimensional topology through their Heegaard Floer homology theory.

**MacTutor links:**

History of the AMS

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**AMS Prizes:**

AMS/SIAM Birkhoff Prize

AMS Bôcher Prize

AMS Cole Prize in Algebra

AMS Cole Prize in Number Theory

AMS Conant Prize

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AMS Steele Prize

AMS Veblen Prize

AMS Wiener Prize

**Other Web site:**

JOC/EFR March 2015

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/history/Societies/AMSVeblenPrize.html