pour-over: In a medium bowl or large measuring cup with a spout, whisk together the heavy cream, 1 cup grated Parmesan, remaining 1 teaspoon salt, black pepper, and chopped thyme. Stir in the warm caramelized onions until everything is well combined. This is your one creamy pour-over mixture.
Prepare the potatoes: Peel the potatoes if you like (you can leave the skins on for more texture and nutrients). Slice them into thin rounds, about 1/8-inch thick, using a sharp knife or a mandoline. Try to keep the slices even