Mathematician:Nicholas Michael Katz

Mathematician

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)