In a small skillet or saucepan over medium low heat, melt butter with the minced garlic; cook for about 1 min. Strain butter into a 2 ½ to 3 quart baking dish and swirl to coat the bottom and sides of the dish. Discard the garlic. Arrange half of the potatoes in the baking dish. Sprinkle with salt, pepper and half of the cheese. Layer with the remaining potatoes, sprinkle with salt, pepper and top with the remaining cheese. Combine the cream and milk; heat until the mixture begins to bubble. Pour over the potatoes. Place the baking dish on a baking sheet (to catch spillovers) and bake for about 1 hour to 1 hour 15 min, or until potatoes are tender.