(joint with Lang, appendix by Ribet) Absolute Finiteness Theorems in Geometric Classfield Theory

Affine cohomological transforms, perversity, and monodromy

Algebraic solutions of differential equations ($p$- curvature and the Hodge filtration)

Another look at $p$-adic $L$-functions for totally real fields

(joint with Mazur) Arithmetic Moduli of Elliptic Curves

On the calculation of some differential galois groups

On a certain class of exponential sums

The congruences of Clausen-von Staudt and Kummer for Bernoulli-Hurwitz numbers

A conjecture in the arithmetic theory of differential equations

Crystalline Cohomology, Dieudonne Modules, and Jacobi Sums

Deligne's second proof of the Riemann Hypothesis (notes by A. Adolphson of Katz's Spring 1979 course)

On the differential equations satisfied by period matrices

Divisibilities, Congruences, and Cartier Duality

The Eisenstein measure and $p$-adic interpolation

An estimate for character sums

Estimates for Soto-Andrade sums

ETUDE COHOMOLOGIQUE DES PINCEAUX DE LEFSCHETZ

Exponential sums over finite fields and differential equations over the complex numbers: some interactions

Factoring polynomials in finite fields: an application of Lang-Weil to a problem in graph theory

UNE FORMULE DE CONGRUENCE POUR L A FONCTION ZETA

(joint with Browder) Free actions of finite groups on varieties. II

Galois properties of torsion points on abelian varieties

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

Higher congruences between modular forms

Internal reconstruction of unit-root $F$-crystals via expansion-coefficients. With an appendix by Luc Illusie

On the intersection matrix of a hypersurface

Lectures on Deligne's proof of the Riemann Hypothesis for varieties over finite fields (notes by Spencer Bloch)

Local-to-global extensions of representations of fundamental groups

On the monodromy groups attached to certain families of exponential sums

Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin

LE NIVEAU DE LA COHOMOLOGIE DES INTERSECTIONS COMPLETES

A note on exponential sums

(joint with Pink) A note on pseudo-CM representations and differential Galois groups

An Overview of Deligne's proof of the Riemann Hypothesis for varieties over finite fields

An Overview of Deligne's work on Hilbert's Twenty-First Problem

p-adic interpolation of real analytic Eisenstein series

p-adic L-functions for CM fields

p-adic L-functions,Serre-Tate local moduli, and ratios of solutions of differential equations

p-adic properties of modular schemes and modular forms

PINCEAUX DE LEFSCHETZ: THEOREME D'EXISTENCE

Perversity and Exponential Sums

The regularity theorem in algebraic geometry

A RESULT ON MODULAR FORMS IN CHARACTERISTIC p

Serre-Tate local moduli

A simple algorithm for cyclic vectors

Slope Filtration of F-crystals

(joint with Messing) Some consequences of the Riemann hypothesis for varieties over finite fields

On a theorem of Ax

LE THEOREME DE GRIFFITHS

(joint with Laumon) Transformation de Fourier et majoration de sommes exponentielles

Travaux de Dwork

Travaux de Laumon

Wild ramification and some problems of "independence of l"

The work of Pierre Deligne

(joint with Sarnak) Zeroes of zeta functions and symmetry