(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