Notices of the American Mathematical Society
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Featured Articles and Invitations from the AMS
The Father of the Father of American Mathematics
Steve Batterson
Hubert A. Newton was the Professor of Mathematics when Yale University began the first Ph.D. program in America, and was the thesis advisor of E. H. Moore, "the father of American mathematics". The author reviews Newton's scientific life and role in the beginnings of mathematical research in America.
Undecidability in Number Theory
Bjorn Poonen
The tenth problem of Hilbert's famous problems of 1900 asked for an algorithm for the existence of an integral root of a multivariable integral polynomial. The author discusses the concepts behind Matiyasevich's negative answer to the problem, other refinements, and current research on related problems.