Step 1

Heat ½ cup oil in a large heavy pot over low. Add garlic and cook, stirring, until softened and fragrant but not browned, about 2 minutes. Increase heat to medium and add tomatoes, red pepper flakes, basil sprigs, and 1½ tsp. salt. Cook, stirring to coat, until tomatoes begin to burst, about 4 minutes. Smash some but not all of the tomatoes with the back of a wooden spoon to help create a sauce, then continue to cook, stirring occasionally, until a chunky, thickened sauce comes together and about half the tomatoes are completely broken down and half remain in tact, 10–12 minutes. Taste and adjust seasoning, adding sugar if sauce seems tart. Pluck out and discard basil sprigs.

Step 2

Meanwhile, cook pasta in a large pot of boiling salted water, stirring occasionally, until al dente. Drain pasta, add to pot with sauce, and cook over medium heat, stirring, until coated, 1–2 minutes. Remove from heat and stir in 1 oz. Parmesan.

Step 3

Divide pasta among bowls. Top with more Parmesan and 1 cup basil leaves. Drizzle with oil.