This Sicilian Pasta Is the Best Way To Cook Eggplant

Name: This Sicilian Pasta Is the Best Way To Cook Eggplant
Ingredients: 9 tablespoons olive oil , divided; 2 medium globe eggplants , cut into 1-inch pieces (about 8 cups ); 1/2 teaspoon kosher salt , plus more for the pasta water; 4 medium garlic cloves , thinly sliced; 1/2 teaspoon crushed red pepper , divided; 1 ( 28 - ounce ) can crushed tomatoes , preferably San Marzano; 1/4 cup loosely packed torn fresh basi l leaves, plus more leaves for garnish; 1 pound rigatoni pasta; 3 ounces ricotta salata , shredded (3/4 cup), divided