This thesis extends Ravenel-Wilson Hopf ring techniques to C2-equivariant homotopy theory. Our main application and motivation for introducing these methods is a computation of the RO(C2)-graded homology of C2-equivariant Eilenberg-MacLane spaces. The result we obtain for C2-equivariant Eilenberg-MacLane spaces associated to the constant Mackey functor F2 gives a C2-equivariant analogue of the classical computation due to Serre at the prime 2. We also investigate a twisted bar spectral sequence computing the homology of these equivariant Eilenberg- MacLane spaces and suggest the existence of another twisted bar spectral sequence with E2-page given in terms of a twisted Tor functor.