William Feldman - Institute for Advanced Study and University of Utah, Mathematics I will discuss some history, new results, and potential future directions in the study of the forced mean curvature flow in heterogeneous random media. I am interested in front propagation / homogenization in the de-pinned case. Techniques from Hamilton-Jacobi homogenization have been successful for "large" forcing, but near the pinning transition the level set equation loses coercivity and there are many open issues.