Translation of Jean-Pierre Serre's paper 'Sur les representations modulaires de degre 2 de Gal(Qbar/Q)'
J-P. Serre (translated by A. Ghitza)
Duke Math. J. 54, No. 1 (1987).
This is an English translation of Jean-Pierre Serre's iconic paper giving the precise statement and surprising consequences of his conjectures on the modularity of two-dimensional odd Galois representations mod $p$.