Bibliography of Nicholas M. Katz

C.V. of Nicholas M. Katz

Photo from 60'th Birthday Conference

Photo from 60'th Birthday Conference (high resolution version)

V-Strom DL650 suspension adjustment

fans of MONODROMY.COM can find most of it at its new home

(joint with Antonio Rojas Leon and Pham Huu Tiep) Rigid local systems with monodromy group the Conway group Co_2

(joint with Antonio Rojas Leon) A rigid local system with monodromy group 2.J_2

How hard is it to be ordinary? (slides of talk at Loeser 60 conference)

(joint with Pham Huu Tiep) Rigid local systems,moments, and finite unitary groups

(joint with Pham Huu Tiep) Rigid local systems and finite symplectic groups

A note on galois representations with big image

Rigid Local Systems and Alternating Groups (joint with Guralnick and Tiep), to appear in Tunisian Journal of Mathematics

Exponential Sums, Ree Groups and Suzuki Groups:Conjectures

Rigid local systems on \A^1 with finite monodromy (with an appendix by Pham Huu Tiep) to appear in Mathematika

G_2 and some exceptional Witt vector identities

Witt Vectors and a Question of Rudnick and Waxman

A note on Random matrix integrals, moment identities, and Catalan numbers

Searching for thin groups (slides of talk at Sarnak Birthday conference)

On a question of Rudnick: do we have square root cancellation for error terms in moment calculations?

ON TWO QUESTIONS OF ENTIN, KEATING, AND RUDNICK ON PRIMITIVE DIRICHLET CHARACTERS

WITT VECTORS AND A QUESTION OF ENTIN, KEATING, AND RUDNICK

Equidistribution questions arising from universal extensions(published version)

Wieferich past and future

A note on RH for curves and hypersurfaces over finite fields(typo's corrected Jan. 7, 2014)

Sato-Tate in the higher dimensional case: elaboration of 9.5.4 in Serre's N_X(p) book

On a question of Zannier

Elliptic convolution, G_2, and elliptic surfaces

Simple Things We Don't Know

On the graph attached to truncated big Witt vectors (Warning to the Reader, explaining relation to work of S.D.Cohen, added March 14, 2012)

Witt vectors and a question of Keating and Rudnick(to appear in IMRN)

On a question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor(new longer title: to appear in IMRN)

Rigid Local Systems and a Problem of Wootters(typo's corrected Sept. 2012)

Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms(new title, now in book form, updated July 14, 2011)

2,3,5, Legendre:\pm Trace ratios in families of elliptic curves (typo's corrected August 18, 2010)

(joint with Guralnick and Harris) Automorphic realization of residual Galois representations

Lang-Trotter revisited (published version)

(joint with Bombieri)A Note on Lower Bounds for Frobenius Traces(revised Sept. 10, 2009)

(joint with Dettweiler) Appendix: On Galois Representations with values in G_2 (appendix to a paper of Dettweiler and Reiter, to appear in Compositio)

From Clausen to Carlitz: low-dimensional spin groups and identities among character sums

Estimates for nonsingular mixed character sums (Thm. 3.1 improved Feb 19,2007, Appendix added and typo's corrected Feb. 24, more typo's fixed Aug 11, 2007)

On a question of Bombieri and Bourgain(version of July 14, 2008; to appear in Forum Mathematicum)

Another look at the Dwork family (revised Feb.4,2007; adds App. III,corrects more typo's)

Estimates for mixed character sums (to appear in GAFA)

On a question of Browning and Heath-Brown

Appendix: Lefschetz pencils with imposed subvarieties

Report on the irreducibility of L-functions (to appear in Lang memorial volume)

E-polynomials, zeta-equivalence, and polynomial-count varieties (appendix to a paper of Rodriguez-Villegas and Hausel)

G_2 and hypergeometric sheaves (corrections to 10.1,10.2 added June 11,2008, correction to 9.1 added January 24, 2016)

Corrections to "G_2 and hypergeometric sheaves" (as of January 42, 2016)

On a question of Lillian Pierce

Hooley parameters for families of exponential sums over finite fields

Notes on G_2, determinants, and equidistribution (typo's corrected Dec. 9, 2003)

(joint with Esnault) Cohomological divisibility and point count divisibility (corrected version of nov. 10, 2003)

Corrected version of Chapter 5 of "Twisted L-Functions and Monodromy"

Moments, Monodromy, and Perversity: a Diophantine Perspective

Space filling curves over finite fields (see corrections below)

Corrections to "Space filling curves over finite fields"

(joint with Pandharipande) Inequalities related to Lefschetz pencils and integrals of Chern classes

(joint with Fouvry) A general stratification theorem for exponential sums, and applications

Estimates for "nonsingular" multiplicative character sums

A semicontinuity result for monodromy under degeneration

Sato-Tate Equidistribution of Kurlberg-Rudnick Sums

AWS2000 Lectures: L -functions and monodromy: four lectures on Weil II

Larsen's Alternative, Moments, and the Monodromy of Lefschetz Pencils

Sums of Betti numbers in arbitrary characteristic

Frobenius-Schur indicator & the ubiquity of Brock-Granville Quadratic Excess

Twisted L-Functions and Monodromy (whole book)

Twisted L-Functions and Monodromy (introduction only)

(joint with de Jong) Monodromy and the Tate Conjecture:Picard numbers and Mordell-Weil ranks in families

Estimates for "singular" exponential sums

(joint with Tate) Bernard Dwork (1923-1998)

manuscript of Rigid Local Systems, with corrections

Corrections to Rigid Local Systems

manuscript of Exponential Sums and Differential Equations, with corrections

Corrections to Exponential Sums and Differential Equations

scan of Katz-Mazur (now searchable; downloads but does not open in Safari)

Corrected version of 6.16.6 in Katz-Sarnak

Katz-Sarnak the book, blurry but searchable

Katz,Sommes Exponentielles, blurry but searchable

Subject index to Katz-Sarnak

Notation index to Katz-Sarnak

Katz, Gauss Sums, Kloosterman Sums, and Monodromy