Mathematician:Nicholas Michael Katz

American mathematician working in the fields of algebraic geometry, particularly on p-adic methods, monodromy and moduli problems, and number theory.

Nationality
American

History

 * Born: 7 December 1943 in Baltimore, Maryland, U.S.

Theorems and Definitions

 * Ax-Katz Theorem (with James Burton Ax)
 * Katz-Lang Finiteness Theorem (with Serge Lang)
 * Grothendieck-Katz p-Curvature Conjecture (with Alexander Grothendieck)

Books and Papers

 * 2005: Moments, Monodromy, and Perversity. A Diophantine Perspective
 * 1988: Gauss sums, Kloosterman sums, and monodromy groups
 * 1990: Exponential sums and differential equations
 * 2002: Twisted L-functions and Monodromy
 * 1996: Rigid Local Systems
 * 1985: Arithmetic Moduli of elliptic curves (with Barry Mazur)
 * 1998: Random Matrices, Frobenius Eigenvalues, and Monodromy (with Peter Sarnak)
 * 1999: Zeroes of zeta functions and symmetry (with Peter Sarnak)