Nick Katz

Nick Katz
Nick Katz
Born 7 December 1943 (1943-12-07) (age 67)
Baltimore
Nationality  United States
Fields Mathematics
Institutions Princeton University
Alma mater Princeton University
Doctoral advisor Bernard Dwork
Doctoral students William Messing
Neal Koblitz
Richard Crew
Benji Fisher
Robert Sutor
Known for Ax–Katz theorem
Grothendieck–Katz p-curvature conjecture

Nicholas Michael Katz (born 7 December 1943) is an American mathematician, working in the fields of algebraic geometry, particularly on p-adic methods, monodromy and moduli problems, and number theory. He is currently a professor in the Mathematics Department at Princeton University in Princeton, New Jersey.

He was a student of Bernard Dwork and then spent time in France, at IHES and Orsay, where he adapted methods of scheme theory and category theory to the theory of modular forms. Subsequently he has applied geometric methods to various exponential sums. Mathematician and cryptographer Neal Koblitz was one of Katz's students.

He played a significant role as a sounding-board for Andrew Wiles when Wiles was developing in secret his proof of Fermat's last theorem.

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