Sun Gold Tomato Pasta with Basil and Garlic

Name: Sun Gold Tomato Pasta with Basil and Garlic
Ingredients: Kosher salt (preferably Diamond Crystal) and freshly ground black pepper; Extra-virgin olive oil; 3 or 4 garlic cloves, smashed; 1 pint (12 oz./340 g) Sun Gold or a mix of cherry tomatoes, halved if large; Large pinch of red pepper flakes, plus more to taste; Large handful of fresh basil leaves; 8 oz. (225 g) bucatini, spaghetti or linguine; 1/3 cup (1 1/4 oz./40 g) 50-50 cheese (half Parmesan and half pecorino romano), grated in a food processor, plus more for serving; 1 to 2 Tbs. unsalted butter; 2 Tbs. dried bread crumbs (optional)