Drinfeld moduli schemes and automorphic forms : the theory of elliptic modules with applications Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the authors original work establishing the correspondence between ell adic rank r Galois representations and automorphic representations of GL(r) over a function field in the local case and in the global case under a restriction at a single place. It develops Drinfelds theory of elliptic modules their moduli schemes and covering schemes the simple trace formula the fixed point formula as well as the congruence relations and a simple converse theorem not yet published anywhere