Features of Magnetopause Reconnection I will discuss two new results from particle-in-cell simulations of reconnection at the Earth's magnetopause. In two dimensional simulations the presence of a guide field (one perpendicular to the reconnection plane) and a density asymmetry across the current layer creates a diamagnetic drift that advects the X-line with the electron diamagnetic velocity. When the relative drift between the ions and electrons is of the order the Alfv\'en speed the large scale outflows from the X-line necessary for fast reconnection cannot develop and the reconnection is suppressed. Three dimensional particle simulations of a system with a guide field, but no density asymmetry, develop turbulence driven by intense electron beams forming near the X-line and separatrices. The turbulence collapses into localized nonlinear structures in which the electron density is depleted. The drag produced by these structures is self-consistently generated and behaves in some senses --- but not all --- like an anomalous resistivity. I will discuss observational evidence for both diamagentic stabilization and the presence of electron holes at the magnetopause.