Madsen's Theorem is a result in algebraic topology that connects the stable homotopy groups of spheres to the homology of certain spaces. Specifically, it states that the stable homotopy groups of spheres can be computed using the homology of the Madsen-Tillmann spectrum, which is derived from the configuration spaces of points on a manifold. This theorem has significant implications in the field of topology, particularly in understanding the relationships between different topological spaces. It provides a bridge between abstract algebraic concepts and geometric intuition, making it a valuable tool for mathematicians studying homotopy theory and related areas.