Smoky Scalloped Potatoes

INGREDIENTS

• 3 cups half-and-half
• 1 tablespoon all-purpose flour
• Kosher salt and freshly ground pepper
• 1/3 cup freshly grated parmesan cheese
• 4 cloves garlic, minced
• 1 to 2 teaspoons smoked paprika
• 1 cup grated sharp white cheddar cheese
• 1 small shallot, finely chopped
• 2 1/2 pounds russet potatoes, peeled and thinly sliced
• 3 tablespoons unsalted butter