Fill a pot with water and place over high heat. Bring to a boil, add 1 teaspoon salt and pasta and cook to 2 minutes less than instructions on package. Reserve 1 cup pasta water and drain pasta.
Mash up tomatoes with hands or puree with an immersion blender or food processor. Set aside.
In a large skillet or high-sided saute pan over medium heat, add oil. Add red pepper flakes and garlic and cook till garlic is light golden brown, approximately 30 seconds to 1 minute.
Add tomatoes, bring to a simmer, and cook 5 to 10 minutes.
Add pasta and 2 to 4 tablespoons reserved pasta water and cook till thickened, 2 to 3 minutes. Add butter and cheese, mix all together, and cook 1 to 2 minutes more.
Serve topped with burrata and basil.