Stuffed Hasselback Ham

Name: Stuffed Hasselback Ham
Ingredients: 4 tablespoons butter, at room temperature; 1/4 cup grated Parmesan; 1/2 teaspoon fresh thyme leaves; 1/3 cup plus 1/4 cup heavy cream; 2 small cloves garlic, minced; Kosher salt and freshly ground black pepper; 1 pound Yukon gold potatoes, peeled and sliced into 1/8-inch-thick slices; 2 tablespoons light brown sugar; 2 tablespoons maple syrup; 1/2 teaspoon ground cinnamon; 12 ounces yams, peeled and sliced into 1/8-inch-thick slices; 2 ounces cream cheese, at room temperature; 1/2 cup shredded Gruyere cheese; 1/8 teaspoon freshly grated nutmeg; One 10-ounce package frozen spinach, thawed and squeezed dry (see Cook's Note); One 8-pound fully cooked bone-in ham; 1 shallot, minced; 1/2 cup honey