A classical result of Suslin shows that Milnor K-theory of a field F arises as a measure of failure of cohomological stability for the discrete general linear group of F. Using this observation, Andrei Suslin constructed a ``Hurewicz" homomorphism from the degree i algebraic K-theory of a field F to the degree i Milnor K-theory of F and made a precise conjecture about the image of this homomorphism. I will discuss recent work on Suslin's conjecture joint with Jean Fasel and Ben Williams. In brief, we reformulate Suslin's conjecture in terms of A^1-homotopy of the general linear group and use this reformulation to establish new cases of the conjecture. Speaker(s): Aravind Asok (USC)