The

It is awarded every five years for a notable research memoir in analysis that has appeared during the past six years in a recognized North American journal. This provision, introduced in 1971 and modified in 1993, is a liberalization of the original terms of the award. It is now awarded every three years.

**1923** George D Birkhoff

... for his memoir "Dynamical systems with two degrees of freedom".

... for his memoir "Arithmetical paraphrases. I, II".

... for his memoir "On certain numerical invariants with applications to Abelian varieties".

... for his memoir "Combinatorial analysis situs".

... for his memoir "The foundations of a theory of the calculus of variations in the large in m-space".

... for his memoir "Tauberian theorems".

... for his memoir "Almost periodic functions and groups. I, II".

... for his memoirs "Green's function and the problem of Plateau", "The most general form of the problem of Plateau", and "Solution of the inverse problem of the calculus of variations".

... for their memoir "Coefficients of schlicht functions. I, II, III, IV".

... for his contributions to the theory of linear, nonlinear, ordinary, and partial differential equations contained in his recent papers.

... for his work in partial differential equations.

... for his paper "On a conjecture of Littlewood and idempotent measures".

... in recognition of his work on the index problem, especially his share in two joint papers with Michael F Atiyah "The index of elliptic operators. I, III".

... in recognition of his paper "Bernoulli shifts with the same entropy are isomorphic".

... in recognition of his fundamental work on the theory of singular integrals and partial differential equations, and in particular for his paper "Cauchy integrals on Lipschitz curves and related operators".

... for his deep and fundamental work in nonlinear partial differential equations, in particular his work on free boundary problems, vortex theory and regularity theory.

... for his solution of several outstanding problems in diffraction theory and scattering theory and for developing the analytical tools needed for their resolution.

... for his work on the application of partial differential equations to differential geometry, in particular his completion of the solution to the Yamabe Problem in "Conformal deformation of a Riemannian metric to constant scalar curvature".

... for his profound contributions toward understanding the structure of singular sets for solutions of variational problems.

... for his contributions to the mathematical theory of general relativity.

... for his contributions to nonlinear hyperbolic equations

... for his work in harmonic analysis.

... for his fundamental paper "On global existence and scattering for the wave maps equations".

... for his recent fundamental breakthrough on the problem of critical regularity in Sobolev spaces of the wave maps equations "Global regularity of wave maps I. Small critical Sobolev norm in high dimensions" and "Global regularity of wave maps II. Small energy in two dimensions".

... for his fundamental contributions to our understanding of the Ginzburg-Landau equations with a small parameter.

... for his fundamental work in the analysis of nonlinear dispersive equations.

... for his fundamental works on hyperbolic conservation laws;

... for his many fundamental contributions to different areas of analysis;

... for his important contributions to harmonic analysis, partial differential equations, and nonlinear dispersive PDE.

... for his fundamental work on inverse problems; and to Assaf Naor for introducing new invariants of metric spaces and for applying his new understanding of the distortion between various metric structures to theoretical computer science.

... for his outstanding solutions of long standing problems in geometric analysis including the solution with R. Schoen of the differentiable sphere theorem(JAMS222009)and the solution of the Lawson conjecture(to appear Acta Mathematica2013). Brendle is also recognized for his deep contributions to the study of the Yamabe equation.

... for his fundamental paper, "Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces", Inventiones Mathematicae,194(2013),381-513

History of the AMS

Presidents of the AMS

AMS Colloquium Lecturers

AMS Gibbs Lecturers

**AMS Prizes:**

AMS/SIAM Birkhoff Prize

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

**Other Web site:**

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JOC/EFR February 2019

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