Preheat Oven: Preheat oven to 375°F (190°C). Grease a 9x13-inch baking dish with butter.
Prepare Potatoes: Peel and thinly slice potatoes (about ⅛-inch thick). A mandoline slicer ensures even slices.
Make Cream Sauce: In a saucepan, heat heavy cream, garlic, salt, pepper, and nutmeg over medium heat until warm (do not boil).
Layer Potatoes: Arrange 1/3 of the potato slices in the baking dish. Pour 1/3 of the cream sauce over them, then sprinkle ½ cup of shredded cheese. Repeat layers twice, ending with cheese.
Bake Covered: Cover with foil and bake for 45 minutes.
Uncover & Brown: Remove foil, sprinkle Parmesan cheese, and bake for 15-20 more minutes until golden and bubbly.
Rest & Serve: Let rest 10 minutes before serving for the sauce to thicken.