World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
50
Citations
13643
World Ranking
1061
National Ranking
493

Research.com Recognitions

  • 2004 - Member of the National Academy of Sciences
  • 2003 - Fellow of the American Academy of Arts and Sciences
  • 1987 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1975 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1970 - Fellow of Alfred P. Sloan Foundation

Overview

Nicholas M. Katz is affiliated with Princeton University in the United States. The primary field of study is Mathematics, with a concentration on several subfields including Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Statistical and Nonlinear Physics.

The scientist's work covers a diverse range of main topics, notably Advanced Algebra and Geometry, Finite Group Theory Research, Algebraic Geometry and Number Theory, Algebraic structures and combinatorial models, Polynomial and algebraic computation, Geometric and Algebraic Topology, and Nonlinear Waves and Solitons.

Recent papers authored by Nicholas M. Katz include:

  • Monodromy groups of Kloosterman and hypergeometric sheaves, 2021, Geometric and Functional Analysis
  • Hypergeometric sheaves and finite symplectic and unitary groups, 2021, Cambridge Journal of Mathematics
  • A note on Galois representations with big image, 2020, L'Enseignement Mathématique
  • Monodromy groups of certain Kloosterman and hypergeometric sheaves, 2020, arXiv (Cornell University)
  • Rigid Local Systems and Sporadic Simple Groups, 2025, Memoirs of the American Mathematical Society

These papers have been published in venues such as arXiv (Cornell University), Notices of the American Mathematical Society, Geometric and Functional Analysis, Cambridge Journal of Mathematics, and L'Enseignement Mathématique.

Frequent co-authors include Pham Huu Tiep, Antonio Rojas-León, Levent Alpöge, Gabriel Navarro, and E. A. O'Brien, with multiple collaborative publications noted.

Nicholas M. Katz has contributed to book publications with Princeton University Press, including titles named Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups published in 2025.

The scientist has received several awards over the career, such as being named a Member of the National Academy of Sciences in 2004 and a Fellow of the American Academy of Arts and Sciences in 2003. Earlier fellowships include those from the John Simon Guggenheim Memorial Foundation (1975, 1987) and the Alfred P. Sloan Foundation (1970).

Best Publications

  • Random matrices, Frobenius eigenvalues, and monodromy

    Nicholas M. Katz;Peter Sarnak

  • Arithmetic moduli of elliptic curves

    Nicholas M. Katz;Barry Mazur

  • Nilpotent connections and the monodromy theorem : applications of a result of Turrittin

    Nicholas M. Katz

  • Groupes de monodromie en geometrie algebrique

    Pierre Deligne;Nicholas M. Katz

  • Zeroes of zeta functions and symmetry

    Nicholas Michael Katz;Peter Clive Sarnak

  • P-ADIC Properties of Modular Schemes and Modular Forms

    Nicholas M. Katz

  • Rigid local systems

    Nicholas M. Katz

  • Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108

    Nicholas M. Katz;Barry Mazur

  • Gauss sums, Kloosterman sums, and monodromy groups

    Nicholas M. Katz

  • Some Consequences of the Riemann Hypothesis for Varieties over Finite Fields.

    Nicholas M. Katz;William Messing

  • Exponential sums and differential equations

    Nicholas M. Katz

  • p-Adic L-Functions for CM Fields.

    Nicholas M. Katz

  • p-adic Interpolation of Real Analytic Eisenstein Series

    Nicholas M. Katz

  • Serre-tate local moduli

    N. Katz

  • Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).

    Nicholas M. Katz

  • On the differentiation of De Rham cohomology classes with respect to parameters

    Nicholas M. Katz;Tadao Oda

  • ON A THEOREM OF AX.

    Nicholas M. Katz

  • Local-to-global extensions of representations of fundamental groups

    Nicholas M. Katz

  • Galois properties of torsion points on abelian varieties

    Nicholas M. Katz

  • The Grothendieck Festschrift

    Pierre Cartier;Gérard Laumon;Nicholas M. Katz

  • Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)

    Unknown

Frequent Co-Authors

Barry Mazur
Barry Mazur Harvard University
Peter Sarnak
Peter Sarnak Princeton University
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Henryk Iwaniec
Henryk Iwaniec Rutgers, The State University of New Jersey
Serge Lang
Serge Lang Yale University
Igor E. Shparlinski
Igor E. Shparlinski University of New South Wales
Alain Connes
Alain Connes Collège de France
Pierre Deligne
Pierre Deligne Institute for Advanced Study

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