Add the potatoes, heavy cream, butter, garlic, wine, salt, pepper, and nutmeg to a food processor. Blend until mostly smooth.
1 cup heavy cream, 6 tablespoons unsalted butter, 2 cloves garlic, ¼ cup dry white wine, 1 teaspoon kosher salt, ¼ teaspoon ground black pepper, ⅛ teaspoon nutmeg