# Oswald Veblen Prize of the AMS

The

Presidents of the AMS

AMS Colloquium Lecturers

AMS Gibbs Lecturers

AMS Bôcher Prize

AMS Cole Prize in Algebra

AMS Cole Prize in Number Theory

AMS Conant Prize

AMS Fulkerson Prize

AMS Satter Prize

AMS Steele Prize

AMS Veblen Prize

AMS Wiener Prize

**Oswald Veblen Prize**was established to honour Oswald Veblen. It was endowed by his friends and colleagues, but later the widow of Professor Veblen doubled the amount of the fund. It is given in recognition for work in geometry or topology by a member of the American Mathematical Society which is published in a North American journal.**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 of 3-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 to 3- and 4-dimensional topology through their Heegaard Floer homology theory.

**2010**Tobias H. Colding and William P. Minicozzi II... for their profound work on minimal surfaces

Paul Seidel

... for his fundamental contributions to symplectic geometry.

**2013**Ian Agol... for his many fundamental contributions to hyperbolic geometry, 3-manifold topology, and geometric group theory

Daniel Wise

... for his deep work establishing subgroup separability (LERF) for a wide class of groups and for introducing and developing with Frédéric Haglund the theory of special cube complexes which are of fundamental importance for the topology of three-dimensional manifolds.

**2016**Tobias H. Colding and William P. Minicozzi II... for their profound work on minimal surfaces; and to Paul Seidel for his fundamental contributions to symplectic geometry.

**2019**Xiuxiong Chen, Simon Donaldson and Song Sun

#### MacTutor links:

History of the AMSPresidents of the AMS

AMS Colloquium Lecturers

AMS Gibbs Lecturers

#### AMS Prizes:

AMS/SIAM Birkhoff PrizeAMS Bôcher Prize

AMS Cole Prize in Algebra

AMS Cole Prize in Number Theory

AMS Conant Prize

AMS Fulkerson Prize

AMS Satter Prize

AMS Steele Prize

AMS Veblen Prize

AMS Wiener Prize

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**AMS Web site**