# Mathematician:Nicholas Michael Katz

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## 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)