The

The original fund was donated by Professor Cole from money presented to him on his retirement, was augmented by contributions from members of the Society, and was later doubled by his son, Charles A Cole.

The present award is $5,000. The prizes were awarded at two different five-year intervals for contributions to algebra and the theory of numbers, but the intervals have been reduced to three years. The award is for a notable research memoir in analysis that has appeared during the past six years in a recognized North American journal and only members of the American Mathematical Society are eligible.

**1928** L E Dickson

... for his book "Algebren und ihre Zahlentheorie".

... for his two papers on the construction of Riemann matrices published1934and1935.

... for four papers on algebraic varieties published in the American Journal of Mathematics and in the Annals of Mathematics in1939and1940.

... for his paper "On Artin's L-series with general group characters".

... for his papers on representations of semisimple Lie algebras and groups, and particularly for his paper "On some applications of the universal enveloping algebra of a semisimple Lie algebra".

... for his paper "Unramified class field theory over function fields in several variables".

... for his papers "Generalized Jacobian varieties" and "A universal mapping property of generalized Jacobians".

... for their joint paper "Solvability of groups of odd order".

... for his paper "On torsion-free groups with infinitely many ends".

... for his paper "Groups of cohomological dimension one".

... for his paper "Unitary algebraic K-theory".

... for his paper "Higher algebraic K-theories".

... for his paper "A characterization of Chevalley groups over fields of odd order".

... for his paper "Topics in the homological theory of commutative rings".

... for his fundamental work on the representation theory of finite groups of Lie type. In particular for his contributions to the classification of the irreducible representations in characteristic zero of the groups of rational points of reductive groups over finite fields, appearing in "Characters of reductive groups over finite fields".

... for his outstanding work on the classification of algebraic varieties and, in particular, for his paper "Flip theorem and the existence of minimal models for3-folds".

... for their solution of Abhyankar's conjecture. This work appeared in the papers Revêtements de la droite affine en charactéristique p >0" and "Abhyankar's conjecture on Galois groups over curves".

... for his work on motivic cohomology.

... for his important work on the resolution of singularities by generically finite maps.

... for his work in representation theory and geometry.

... for his outstanding achievements in the theory of rationally connected varieties and for his illuminating work on a conjecture of Nash.

... for their groundbreaking joint work on higher dimensional birational algebraic geometry.

... for his work on the essential dimension of groups.

... for his work on perfectoid spaces which has led to a solution of an important special case of the weight-monodromy conjecture of Deligne.

... for his groundbreaking research on representation theory, cohomology, and subgroup structure of finite quasi-simple groups, and the wide-ranging applications of this work to other areas of mathematics.

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