Preheat to 400 degrees.
Grease a 3 1/2 quart Dutch oven.
In a measuring cup, make the cream sauce by whisking together heavy cream, garlic, thyme, rosemary, salt, pepper, and smoked paprika.
Grate the Parmesan cheese and set aside.
Slice the sweet potatoes to 1/8 inch thickness using a mandolin slicer.
Pour a thin layer of cream sauce in the bottom of the dish.
Layer sweet potatoes overlapping slightly. Ladle a small amount of cream over the potatoes. Sprinkle some cheese on the top.
Repeat the layers until all of the potatoes have been used.
Pour the remaining cream on top and sprinkle with the remaining cheese.
Bake for 40 minutes uncovered. Cover the dish and continue baking for an additional 15 minutes.
Remove from the oven and allow to rest for 30 minutes (covered) to set.
Serve.