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

pdf file (2.36MB)

Affine cohomological transforms, perversity, and monodromy

pdf file (1.8MB)

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

pdf file (8.9MB)

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

pdf file (764KB)

(joint with Mazur) Arithmetic Moduli of Elliptic Curves

djvu file (13.2MB)

On the calculation of some differential galois groups

pdf file (2MB)

On a certain class of exponential sums

pdf file (428KB)

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

pdf file (288KB)

A conjecture in the arithmetic theory of differential equations

pdf file (2.4MB)

corrections--pdf file (156KB)

Crystalline Cohomology, Dieudonne Modules, and Jacobi Sums

pdf file(1.14MB)

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

djvu file (5MB)

On the differential equations satisfied by period matrices

pdf file (3MB)

Divisibilities, Congruences, and Cartier Duality

pdf file (325 KB)

The Eisenstein measure and $p$-adic interpolation

pdf file (1.4MB)

An estimate for character sums

pdf file (112KB)

Estimates for Soto-Andrade sums

pdf file (1.6MB)

ETUDE COHOMOLOGIQUE DES PINCEAUX DE LEFSCHETZ

pdf file (1.8MB)

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

pdf file (3.4MB)

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

pdf file (1.5MB)

UNE FORMULE DE CONGRUENCE POUR L A FONCTION ZETA

pdf file (920KB)

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

pdf file (860KB)

corrections--pdf file (104KB)

Galois properties of torsion points on abelian varieties

pdf file (1.5MB)

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

pdf file (376KB)

Higher congruences between modular forms

pdf file (836KB)

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

pdf file (2.4MB)

On the intersection matrix of a hypersurface

pdf file (1.3MB)

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

djvu file (8.5B)

Local-to-global extensions of representations of fundamental groups

pdf file (2.2MB)

On the monodromy groups attached to certain families of exponential sums

pdf file (1.8MB)

corrections--pdf file (48KB)

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

pdf file (4.6MB)

LE NIVEAU DE LA COHOMOLOGIE DES INTERSECTIONS COMPLETES

pdf file (1008KB)

A note on exponential sums

pdf file (132KB)

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

pdf file (904KB)

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

pdf file (1.85MB)

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

pdf file(1.19MB)

p-adic interpolation of real analytic Eisenstein series

pdf file (2.7MB)

p-adic L-functions for CM fields

pdf file (6.1MB)

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

pdf file(578 KB)

p-adic properties of modular schemes and modular forms

pdf file (4.8MB)

PINCEAUX DE LEFSCHETZ: THEOREME D'EXISTENCE

pdf file (1MB)

Perversity and Exponential Sums

pdf file (4.08MB)

The regularity theorem in algebraic geometry

pdf file (516 KB)

A RESULT ON MODULAR FORMS IN CHARACTERISTIC p

pdf file (272KB)

Serre-Tate local moduli

pdf file (1.9MB)

A simple algorithm for cyclic vectors

pdf file (116KB)

Slope Filtration of F-crystals

pdf file (1.07MB)

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

pdf file (416KB)

On a theorem of Ax

pdf file (428KB)

LE THEOREME DE GRIFFITHS

pdf file (520KB)

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

pdf file (4.9MB)

corrections--pdf file (116KB)

Travaux de Dwork

pdf file (1.4MB)

Travaux de Laumon

pdf file (2.67MB)

Wild ramification and some problems of "independence of l"

pdf file (516KB)

The work of Pierre Deligne

pdf file (577 KB)

(joint with Sarnak) Zeroes of zeta functions and symmetry

pdf file (392KB)