Method
Step 1
Preheat the oven to 500°F with a rack in the upper third.
Step 2
Whisk water, sugar, oil, and yeast in a liquid measuring cup or small bowl. Let proof for 5 minutes until it puffs up.
Step 3
Pulse flour, Parmesan, and salt in a food processor until combined. With the processor running, slowly pour in the water mixture and process until a shaggy ball forms, about 1 minute.
Step 4
Dump dough onto a floured surface and knead a few times until cohesive. Halve the dough.
Step 5
On a floured surface, roll each half into an 11-inch round, aiming for even thickness and a thin crust.
Step 6
Transfer dough to a baking pan (lightly grease with cooking spray if not non-stick).
Step 7
Brush the outer 1-inch of dough with olive oil.
Step 8
Spread drained, crushed tomatoes or pizza sauce over the dough. Sprinkle it with mozzarella and additional toppings.
Step 9
Bake on the top rack until the crust and cheese are lightly golden, about 10 minutes for cheese pizza or 12 minutes with additional toppings, rotating halfway.