Nicholas Katz
| Nick Katz | |
|---|---|
 |
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| Born | Nicholas Michael Katz December 7, 1943 Baltimore, Maryland, U.S. |
| 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 Nickolai Chavdarov Ondrej Such Thomas Feng Mark Kisin Cheewhye Chin Chris Hall Antonio Rojas León Junecue Suh |
| Known for |
Ax–Katz theorem Grothendieck–Katz p-curvature conjecture |
| Notable awards |
Levi L. Conant Prize (2003) Guggenheim Fellowship (1975) Sloan Fellowship (1970) |
Nicholas Michael "Nick" Katz (born December 7, 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 and an editor of the journal Annals of Mathematics.
Katz graduated from Johns Hopkins University (BA 1964) and from Princeton University, where in 1965 he received his master's degree and in 1966 he received his doctorate under supervision of Bernard Dwork with thesis On the Differential Equations Satisfied by Period Matrices. After that, at Princeton, he was an instructor, an assistant professor in 1968, associate professor in 1971 and professor in 1974. From 2002 to 2005 he was the chairman of faculty there. He was also a visiting scholar at the University of Minnesota, the University of Kyoto, Paris VI, Orsay, the Institute for Advanced Study and the IHES. While in France, 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.
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