I get it. Except it's not always cold, of course; at this time of year, it's hotter than fresh African elephant shit up there!
What's your degree in? Can you tell me if insulating the inside of the roof would do anything? Let me think...if the insulation in the ceiling saves on energy bills in the winter, because energy isn't wasted heating the attic, then that must mean the heat is being trapped below the ceiling...which would mean that the same thing is happening in the summer, too, the heat is being trapped in the upstairs area. If the insulation were removed from the ceiling, and moved to the inside of the roof, in the winter, that would be a waste of energy, but in the summer, would that let the heat that's being trapped in the upstairs level migrate even further up, into the attic, which would keep things a bit cooler down here on the upper level? Does that make any sense?