Nicholas M. Katz works in arithmetic algebraic geometry, with particular interest in life over finite fields and in its interaction with life over the complex numbers. He is the author or coauthor of nine books and numerous papers on various aspects of these questions.
Katz, a student of Bernard Dwork, received his Ph.D. in mathematics from Princeton University in 1966. He then served there as instructor (1966–67), lecturer (1967–68), assistant professor (1968–71), associate professor (1971–74) and, since 1974, as professor. He was department chair 2002–2005. Since 2004, he has been an editor of Annals of Mathematics.
Katz was a NATO Postdoctoral Fellow (1969–69), an Alfred P. Sloan Fellow (1971–72) and a Guggenheim Fellow (1975–76 and 1987–88). In 2003, he and Peter Sarnak were awarded the Levi L. Conant Prize of the American Mathematical Society. In 2003, he was elected to the American Academy of Arts and Sciences, and in 2004, he was elected to the National Academy of Sciences.