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

Some older work can be found HERE, recent work is below

(joint with Bombieri) Lower Bounds for Frobenius Traces

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

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)

Corrections to "G_2 and hypergeometric sheaves" (as of June 11,2008)

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

Corrections to "Space filling curves over finite fields"

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

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 (not searchable)

Corrected version of 6.16.6 in Katz-Sarnak

Subject index to Katz-Sarnak

Notation index to Katz-Sarnak