Volume I Arithmetic -- Generators of the Nรฉron-Severi Group of a Fermat Surface -- p-adic Etale Cohomology -- The Mordell-Weil Group of Curves of Genus 2 -- Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions -- Infinite Descent on Elliptic Curves with Complex Multiplication -- On the Ubiquity of Pathology in Products -- Conjectured Diophantine Estimates on Elliptic Curves -- Zeta-Functions of Varieties over Finite Fields at s =1 -- Canonical Height Pairings via Biextensions -- The Action of an Automorphism of C on a Shimura Variety and its Special Points -- The Torelli Theorem for Ordinary K3 Surfaces over Finite Fields -- Real Points on Shimura Curves -- Special Automorphic Forms on PGSp4 -- Courbes sur une variรฉtรฉ abรฉlienne et points de torsion -- Euler and the Jacobians of Elliptic Curves