Preface -- A Brief Introduction to Drinfeld Modules -- Galois Calculus and Carlitz Exponentials -- A Two-Dimensional Analogue of Stickelberger's Theorem -- On Gamma Functions for Function Fields -- Groups of Elliptic Units in Global Function Fields -- Class Number "Parity" for Cyclic Function Fields -- Genus Two Hyperelliptic Drinfeld Modules over F2 -- A Short Introduction to Rigid Analytic Spaces -- Lecture on Rigid Geometry -- Moduli for Drinfeld Modules -- Ramifications Arising from Drinfeld Modules -- Rigid Analytic Modular Forms: An Integral Transform Approach -- Some Results on the Jacobians of Drinfeld Modular Curves -- Some Integrals Attached to Modular Forms in the Theory of Function Fields -- Transcendence in Finite Characteristic -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld -- Géométrie Diophantienne sur les Modules de Drinfeld -- Transcendence Properties of Carlitz Zeta-values -- L-series of t-motives and Drinfeld Modules -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law -- The Circle Method and the Strict Waring Problem in Function Fields -- Ramsey's Theorem and Waring's Problem for Algebras over Fields -- Sums of Three Cubes -- Heights and Zeta Functions in Function Fields -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields -- Dictionary.