4 tablespoons extra-virgin olive oil, divided 8 ounces Sun Gold or cherry tomatoes 2 garlic cloves, thinly sliced 1/4 teaspoon crushed red pepper flakes Kosher salt 6 ounces capellini, spaghetti, or bucatini 3/4 cup finely grated Pecorino or Parmesan 8 medium fresh basil leaves, torn into pieces Toasted breadcrumbs (for garnish; optional)