2026 Nicholas M. Katz: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	50	1061	904	494	393	270	13643

Nicholas M. Katz publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Nicholas M. Katz sits on this spectrum.

42 publications 537+

This scientist: 270 publications — 81st percentile

81% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Nicholas M. Katz D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Nicholas M. Katz sits on this spectrum.

30 D-Index 86+

This scientist: 50 D-Index — 71st percentile

71% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

1105
Citations
Arithmetic moduli of elliptic curves

Nicholas M. Katz;Barry Mazur

1026
Citations
Nilpotent connections and the monodromy theorem : applications of a result of Turrittin

Nicholas M. Katz

892
Citations
Groupes de monodromie en geometrie algebrique

Pierre Deligne;Nicholas M. Katz

745
Citations
Zeroes of zeta functions and symmetry

Nicholas Michael Katz;Peter Clive Sarnak

667
Citations
P-ADIC Properties of Modular Schemes and Modular Forms

Nicholas M. Katz

609
Citations
Rigid local systems

Nicholas M. Katz

457
Citations
Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108

Nicholas M. Katz;Barry Mazur

424
Citations
Gauss sums, Kloosterman sums, and monodromy groups

Nicholas M. Katz

422
Citations
Some Consequences of the Riemann Hypothesis for Varieties over Finite Fields.

Nicholas M. Katz;William Messing

371
Citations
Exponential sums and differential equations

Nicholas M. Katz

333
Citations
p-Adic L-Functions for CM Fields.

Nicholas M. Katz

325
Citations
p-adic Interpolation of Real Analytic Eisenstein Series

Nicholas M. Katz

320
Citations
Serre-tate local moduli

N. Katz

301
Citations
Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).

Nicholas M. Katz

282
Citations
On the differentiation of De Rham cohomology classes with respect to parameters

Nicholas M. Katz;Tadao Oda

282
Citations
ON A THEOREM OF AX.

Nicholas M. Katz

277
Citations
Local-to-global extensions of representations of fundamental groups

Nicholas M. Katz

220
Citations
Galois properties of torsion points on abelian varieties

Nicholas M. Katz

216
Citations
The Grothendieck Festschrift

Pierre Cartier;Gérard Laumon;Nicholas M. Katz

195
Citations
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)

Unknown

189
Citations

Frequent Co-Authors

Barry Mazur Harvard University

Pham Huu Tiep Rutgers, The State University of New Jersey

Peter Sarnak Princeton University

Robert M. Guralnick University of Southern California

Henryk Iwaniec Rutgers, The State University of New Jersey

Serge Lang Yale University

Igor E. Shparlinski University of New South Wales

Alain Connes Collège de France

Pierre Deligne Institute for Advanced Study

External Links

Wikipedia of Nicholas M. Katz Personal website of Nicholas M. Katz

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