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

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Affine cohomological transforms, perversity, and monodromy

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

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

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(joint with Mazur) Arithmetic Moduli of Elliptic Curves

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On the calculation of some differential galois groups

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On a certain class of exponential sums

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

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A conjecture in the arithmetic theory of differential equations

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corrections--pdf file (156KB)

Crystalline Cohomology, Dieudonne Modules, and Jacobi Sums

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

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On the differential equations satisfied by period matrices

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Divisibilities, Congruences, and Cartier Duality

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The Eisenstein measure and $p$-adic interpolation

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An estimate for character sums

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Estimates for Soto-Andrade sums

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ETUDE COHOMOLOGIQUE DES PINCEAUX DE LEFSCHETZ

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

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

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UNE FORMULE DE CONGRUENCE POUR L A FONCTION ZETA

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

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corrections--pdf file (104KB)

Galois properties of torsion points on abelian varieties

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

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Higher congruences between modular forms

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

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On the intersection matrix of a hypersurface

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

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Local-to-global extensions of representations of fundamental groups

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On the monodromy groups attached to certain families of exponential sums

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corrections--pdf file (48KB)

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

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LE NIVEAU DE LA COHOMOLOGIE DES INTERSECTIONS COMPLETES

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A note on exponential sums

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

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p-adic interpolation of real analytic Eisenstein series

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p-adic L-functions for CM fields

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

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p-adic properties of modular schemes and modular forms

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PINCEAUX DE LEFSCHETZ: THEOREME D'EXISTENCE

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The regularity theorem in algebraic geometry

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A RESULT ON MODULAR FORMS IN CHARACTERISTIC p

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Serre-Tate local moduli

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A simple algorithm for cyclic vectors

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

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On a theorem of Ax

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LE THEOREME DE GRIFFITHS

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

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corrections--pdf file (116KB)

Travaux de Dwork

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Travaux de Laumon

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Wild ramification and some problems of "independence of l"

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The work of Pierre Deligne

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(joint with Sarnak) Zeroes of zeta functions and symmetry

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