^{Let G be a finite group and p a prime.  Then there is a well-defined (at the level of composition factors) process of p-modular reduction for representations of G.  It sometimes happens that two different irreducible modules in characteristic 0 can become the same when reduced modulo p, and it is interesting to determine exactly when this happens.  For example, if G is the symmetric group, and two ordinary irreducibles are obtained from each other by tensoring with the sign representation, then their reductions modulo 2 will be the same. In this talk we consider this problem for the double covers of the symmetric groups in characteristic 2; in fact, we solve the more general problem of when the 2-modular reductions of two modules are proportional to each other.  I will give the result, and explain some of the techniques used to prove it. (joint with Eoghan McDowell)}