How to Make It
Preheat the oven to 425°. Line 2 large rimmed baking sheets with parchment paper. In a small saucepan, combine the water, butter and salt and bring to a boil. Remove from the heat, add the flour all at once and beat vigorously with a wooden spoon until the flour is thoroughly incorporated. Return the pan to moderate heat and cook the dough, stirring constantly, until it pulls away from the side of the pan to form a ball, about 2 minutes. Remove the pan from the heat and let stand at room temperature, stirring a few times, until the dough cools slightly, about 3 minutes.
Add the eggs one at a time, stirring briskly between additions to thoroughly incorporate each egg. Stir in the cheese.
Transfer the dough to a pastry bag fitted with a 1/2-inch round tip. Pipe 1-inch mounds of dough about 1 inch apart.
Bake the gougères until golden brown, about 25 minutes. Turn the oven off and prop the door ajar to dry out the gougères completely, about 20 minutes longer. Transfer the gougères to a large platter. Serve warm or at room temperature.