We have created five historical simulations from years 850 to 2000 using the Community Climate System Model 3 at two different spectral resolutions of T42 and T85. These simulations use boundary conditions consistent with those produced for the Paleoclimate Modelling Intercomparison Project Phase 3, including two different volcanic reconstructions and time-varying orbital forcing. We have also extended some of these simulations into the future using a selection of representative concentration pathways from the Coupled Model Intercomparison Project Phase 5. Over the historical period, we have examined how temperatures and precipitation over the Greenland ice sheet have varied with Arctic sea ice extent, the North Atlantic Oscillation Index, the Atlantic Meridional Overturning Circulation and its connection to the Atlantic Multi-decadal Oscillation, the El Nino-Southern Oscillation, volcanic aerosol loading, total solar irradiance changes, and anthropogenic greenhouse-gas concentrations. We will present an analysis of which correlations are most important in our simulations, and at which time scales. We will also discuss whether these connections remain constant throughout the historical and future periods, or whether they change with the changing climate.