"I greatly enjoyed the opportunity and challenge to collect some aspects of thin groups in this paper; hopefully it might encourage more people to go into this new field." His other joys include music and spending time with his family, wife Amy and son Harry.

Simon Brendle

2014 Bôcher Memorial Prize

Brendle was awarded the Bôcher Prize for his outstanding solutions of long standing problems in geometric analysis. He is also recognized for his deep contributions to the study of the Yamabe equation. "I am grateful to my parents, Helga and Martin Brendle, and my high school mathematics teacher, Jakob Nill, who provided me with an excellent education in mathematics." Photo credit: Margarete Eisele

Philip Kutzko

2014 Award for Distinguished Public Service

Kutzko’s area of research is representation theory of p-adic groups with applications to the local Langlands program. He has continued to maintain his research program throughout his many years working on behalf of PhD students from underrepresented backgrounds. Photo credit: Thomas Jorgensen, University of Iowa

Cédric Villani

2014 Joseph L. Doob Prize

Villani's book, "Optimal Transport: Old and New" (Springer-Verlag, 2009), represents a profound rethinking of the subject of optimal transport by one of its leading contributors. “It is a great honor for me, and a great joy, as the book which was distinguished by the Doob Prize is really one that has been dear to my heart, and a part of my life." Photo credit: Phototheque CNRS - Sebastien Godefroy

Yitang Zhang

2014 Frank Nelson Cole Prize in Number Theory

For his work on bounded gaps between primes, Zhang has been awarded the Cole Prize in Number Theory. Photo credit: Lisa Nugent, University of New Hampshire Photographic Services

Yuri Burago

2014 Leroy P. Steele Prize for Mathematical Exposition

In recognition of excellence in exposition and promotion of fruitful ideas in geometry, Ivanov was jointly awarded this prize for the book he co-authored, "A Course in Metric Geometry." This book has clearly left a visible imprint on the landscape of today’s geometry.

Phillip Griffiths

2014 Leroy P. Steele Prize for Lifetime Achievement

"It is a wonderful honor to receive the Leroy P. Steele lifetime achievement award. I credit my high school math teacher, Lottie Wilson at the Georgia Military Academy, for sparking my interest in and love for mathematics." Photo credit: Cliff Moore

Dmitri Burago

2014 Leroy P. Steele Prize for Mathematical Exposition

"Our aim when writing the book was to try to bridge the gap between students and existing literature on the subject. In particular, we kept in mind some of Gromov's works as 'bridge destinations'. We are happy to know that the book turned out to be useful to many students and researchers." Burago speaking on behalf of his joint prize winners. Painting by Dmitri Burago

Sergei V. Ivanov

2014 Leroy P. Steele Prize for Mathematical Exposition

In recognition of excellence in exposition and promotion of fruitful ideas in geometry, Ivanov was jointly awarded this prize for the book he co-authored, "A Course in Metric Geometry." This book has clearly left a visible imprint on the landscape of today’s geometry.

Robert Kohn

2014 Leroy P. Steele Prize for Seminal Contribution to Research

In recent years much of Kohn's research has addressed problems from materials science, with particular emphasis on energy-driven pattern formation. Besides the Navier-Stokes equations, he has worked on many PDE problems including electric impedance tomography, relaxation of variational problems, blowup of semilinear heat equations, and homogenization.

Luis Caffarelli

2014 Leroy P. Steele Prize for Seminal Contribution to Research

Caffarelli was jointly awarded this prize for the paper, "Partial regularity of suitable weak solutions of the Navier-Stokes equations." Communications Pure and Applied Math, vol 35 no 6, 771-831 (1982). This paper was and remains a major step forward, towards showing global strong solvability. Photo credit: Becky Rische

Louis Nirenberg

2014 Leroy P. Steele Prize for Seminal Contribution to Research

Nirenberg has spent his entire professional career at NYU. His research interests are in Mathematical Analysis,in particular,Partial Differential Equations,Complex Analysis,Differential Geometry and Fluid Flow. Personally, his great interests are music and cinema.

Cem Y. Yildirim

2014 Frank Nelson Cole Prize in Number Theory

“I was completely enraptured when I stumbled upon the classic book on number theory by Hardy and Wright in the library of my high school, and from then on I knew what area I wanted to learn most.”

János Pintz

2014 Frank Nelson Cole Prize in Number Theory

“I have to say that when the first time I learned some three or four decades ago that my famous fellow citizen, Paul Erdős received this award for his contribution to the elementary proof of the Prime Number Theorem, I could not have imagined that one day I would be honored with the same distinction.” Photo credit: László Szelényi

Daniel Goldston

2014 Frank Nelson Cole Prize in Number Theory

“Math can be a tough business, and while mathematicians often do not have much humility, we all have lots of experience with humiliation. Fortunately in this case our work was not destined for the wastebasket.” Photo credit: Ryoko Goldston

Eric Larson

2014 Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student

Larson discovered his love of mathematics after seeing Euclid's proof of the Infinitude of primes. He began his research work while in high school and has so far authored or coauthored eight papers. These papers have appeared in a wide spectrum of research journals.

McKellar's books, blog, and public appearances have encouraged countless middle and high school students, especially girls, to be more interested in mathematics. Their brilliant presentation of mathematical concepts, in ways that relate to young girls, have attracted a huge audience that includes both boys and girls. Photo credit: Cathryn Farnsworth

Moore's research has injected new physical ideas and created new constructions in the mathematical fields of cluster algebras, integrable systems and hyperkahler geometry. Moore has co-authored 170 papers on physical mathematics with an emphasis on geometrical structures in physics.

Recognizes a single, relatively recent, outstanding research book that makes a seminal contribution to the research literature, reflects the highest standards of research exposition, and promises to have a deep and long-term impact in its area. The book must have been published within the six calendar years preceding the nomination year.

For a paper with the following characteristics: it shall report on novel research in algebra, combinatorics or discrete mathematics and shall have a significant experimental component; and it shall be on a topic which is broadly accessible and shall provide a simple statement of the problem and clear exposition of the work.

For the cumulative influence of the total mathematical work of the recipient, high level of research over a period of time, particular influence on the development of a field, and influence on mathematics through Ph.D. students

For an outstanding contribution to applied mathematics in the highest and broadest sense.

Amount: $5,000

Frequency: every three years

Next prize: January 2016

This prize is awarded jointly with the Society for Industrial and Applied Mathematics (SIAM)

AMS Awards recognize outstanding achievement in mathematics, exceptional public service in support of research and education in the mathematical sciences, and significant contributions to the public understanding of mathematics.

To reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to nonmathematical audiences

Amount: $1,000

Frequency: every year

Next award: January 2015

This is awarded jointly with the Mathematical Association of America (MAA), Society for Industrial and Applied Mathematics (SIAM), and the American Statistical Association (ASA)

Recognizes a department which has distinguished itself by undertaking an unusual or particularly effective program of value to the mathematics community, internally or in relation to the rest of society

To programs that aim to bring more persons from underrepresented backgrounds into some portion of the pipeline beginning at the undergraduate level and leading to advanced degrees in mathematics and professional success, or retain them once in the pipeline; have achieved documentable success in doing so; and are replicable models.

To pre-college students in mathematics as well as mathematically-oriented projects in computer science, physics, and engineering at the Intel International Science and Engineering Fair (ISEF).

To recognize a public figure for sustained and exceptional contributions to public policies that foster support for research, education, and innovation

This award was established in 1999 by the American Mathematical Society (AMS), the American Astronomical Society (AAS), and the American Physical Society (APS) to recognize a public figure for his or her sustained and exceptional contributions to public policies that foster support for research, education, and industrial innovation in the physical sciences and mathematics.

As of January 2007, the AMS no longer participates in this award, but instead offers the AMS Public Policy Award.

To assist students who have declared a major in mathematics at a college or university that is an institutional member of the AMS. These funds help support students who lack adequate financial resources and who may be in danger of not completing the degree program in mathematics for financial reasons.

Amount: $3,000

Frequency: every year

Next award: Fall 2014

AMS also supports some prizes and awards given by other organizations.

Awards are made in either: 1) the theory of the kernel function and its applications in real and complex analysis; or 2) function-theoretic methods in the theory of partial differential equations of elliptic type with attention to Bergman's operator method.

To the individual deemed to have made the most substantial contribution in research in the field of pure mathematics, and who is deemed to have the potential for future production of distinguished research in such field

The Fredkin Foundation established three prizes in Automatic Theorem Proving (ATP). In the mid-1980s the Foundation asked the AMS to appoint a formal ATP prize committee and to take over the administration of the awards. Since support for these prizes has been withdrawn, currently there are no plans to make future awards.

Browse our full prizes and awards archive to find all AMS prize and award winners and related information.

Photos from the 2014 Prizes and Awards session at the Joint Mathematics Meeting in Baltimore, Maryland.