Turn on the processor and pour the yeast-water through the feed tube. Process until the dough forms a ball. Remove the dough from the processor and bring together into the shape of a ball. Or, mix in a stand mixer or by hand in a large bowl until the dough forms a ball.
Place in a large bowl that has been brushed with olive oil. Roll the ball around in the bowl to coat with oil. Cover with plastic wrap and let rest for 45 minutes or until doubled in size. (It can be kept, covered, in the refrigerator overnight. It will need to sit at room temperature, though, for about 30 minutes before proceeding.)
Coat a 9- by 13-inch baking pan with 3 tablespoons olive oil. Using oiled hands gently stretch dough until it reaches the edges of baking sheet. (The dough will be sticky. If dough springs back, let it rest 10 minutes before continuing.)
Cover dough on baking sheet tightly with plastic wrap and let sit in a warm place until it is slightly puffy, about 30 minutes.
Preheat oven to 500 degrees.
Meanwhile, place the ricotta cheese and 1/4 teaspoon salt in a small bowl. Heat 2 tablespoons of oil in a medium skillet over medium-high heat until shimmering. Add garlic and red pepper flakes and cook, stirring, until softened, about 1 minute. Pour half of the oil mixture in with the ricotta and stir to combine. Set aside.