Preheat the oven to 400°F. Line a baking sheet with parchment paper.  

In a large saucepan, combine the milk, butter, salt, and black pepper over medium-high heat. Bring to a boil, then remove from the heat, add the flour, and, with a wooden spoon, stir briskly for about 1 minute to incorporate. Return to the heat and continue stirring for 1 minute over medium-high heat. Remove from the heat and add the eggs one at a time, beating after each addition. Add the cheese and beat until it is incorporated and a slightly soft dough forms.  

Drop the dough by the spoonful onto the prepared baking sheet to form a ring (about 12 to 14 spoonfuls). Bake for 10 minutes, then reduce the oven temperature to 350°F and bake until golden brown, about 25 minutes.