Using a mandoline slicer, cut the sweet potatoes into thin slices (about ⅛ inch thick).
In a small saucepan, combine heavy cream, chopped thyme, chopped sage, grated garlic, and a pinch of nutmeg. Heat until simmering to infuse the flavors.
In a greased baking dish, layer sweet potato slices, seasoning with salt and pepper, and sprinkling with parmesan and gruyere cheeses. Repeat until all ingredients are used.
Pour the infused cream evenly over the layered potatoes and top with remaining cheese.
Bake for 40 minutes, checking for tenderness with a fork.
For a crispy top, broil for 5--7 minutes until golden, keeping a close eye to avoid burning.
Let the gratin rest for 10 minutes before serving.
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Notes
Store leftovers covered in the refrigerator for up to 3 days or freeze unbroiled for up to 2 months.