In a saucepan, warm cream and garlic. Simmer for 5 minutes, do not boil.
Butter a baking dish - 9x13 or large cast iron.
In a mixing bowl combine cheeses and spices.
Layer a third of the potatoes on the bottom. Add one third of the cheese mixture. Add one third of the warm cream mixture. Repeat until all potatoes, cream, and cheese mixture are used up, ending with the cheese mixture.
Cover with foil and bake for 90 minutes.
Remove foil, most of the liquid should be absorbed, and bake for an additional 20 minutes to brown the top.