Bibliography of Nicholas M. Katz

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C.V. of Nicholas M. Katz

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Photo from 60'th Birthday Conference

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

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V-Strom DL650 suspension adjustment

Nicholas M. Katz PDF and DVI files available for download

Some older work can be found HERE (listed alphabetically by title), recent work is below (most recent first)

Equidistribution questions arising from universal extensions

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Wieferich past and future

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

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

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On a question of Zannier

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Elliptic convolution, G_2, and elliptic surfaces

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Simple Things We Don't Know

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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)

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

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

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

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

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

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

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Lang-Trotter revisited (published version)

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

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

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

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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)

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published IMRN version pdf file 187( KB)

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

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

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Manin Festschrift version (to appear) pdf file (354 KB)

Estimates for mixed character sums (to appear in GAFA)

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version to appear in GAFA pdf file (274 KB)

On a question of Browning and Heath-Brown

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version to appear in Analytic Number Theory: Essays in Honor or Klaus Roth

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Appendix: Lefschetz pencils with imposed subvarieties

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

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

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G_2 and hypergeometric sheaves (corrections to 10.1,10.2 added June 11,2008)

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

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On a question of Lillian Pierce

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Hooley parameters for families of exponential sums over finite fields

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

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

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

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Moments, Monodromy, and Perversity: a Diophantine Perspective

Space filling curves over finite fields (see corrections below)

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Corrections to "Space filling curves over finite fields"

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

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

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Estimates for "nonsingular" multiplicative character sums

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A semicontinuity result for monodromy under degeneration

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Sato-Tate Equidistribution of Kurlberg-Rudnick Sums

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

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

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Sums of Betti numbers in arbitrary characteristic

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

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Twisted L-Functions and Monodromy (whole book)

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Twisted L-Functions and Monodromy (introduction only)

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

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Estimates for "singular" exponential sums

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

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manuscript of Rigid Local Systems, with corrections

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Corrections to Rigid Local Systems

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manuscript of Exponential Sums and Differential Equations, with corrections

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Corrections to Exponential Sums and Differential Equations

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

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Corrected version of 6.16.6 in Katz-Sarnak

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Katz-Sarnak the book, blurry but searchable

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Katz,Sommes Exponentielles, blurry but searchable

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Subject index to Katz-Sarnak

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Notation index to Katz-Sarnak

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Katz, Gauss Sums, Kloosterman Sums, and Monodromy

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Nicholas M. Katz books on Amazon

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