His mathematical work was fundamental in forming the shape of modern number theory; we refer the reader to the book [HP14] for a short curriculum vitae compiled by H. Holden and R. Piene, and to [Mil17] and [Col17] for detailed discussions of Tate's work.John supervised 41 graduate students between 1958 and 1998. The Mathematics Genealogy Project reports currently that he has 772 mathematical descendants. This statistic only hints at John's contribution as a mentor: John influenced the research of generations of mathematicians who were not formally his students.Even as John encouraged his students to find their own problems, he was always available to hear about their work,

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