How to Make It
Heat broiler. Cook the pasta according to the package directions; drain and return it to the pot.
Meanwhile, arrange the tomato slices in a single layer on a lightly oiled rimmed baking sheet. Season with ¼ teaspoon each salt and black pepper. Dividing evenly, sprinkle the slices with the mozzarella and Parmesan. Broil until the cheese is bubbly and golden, 3 to 5 minutes.
Warm the oil with the garlic and red pepper in a small saucepan over medium heat until fragrant, 1 to 2 minutes.
Add the garlic oil, basil, ½ teaspoon salt, and ¼ teaspoon black pepper to the pasta and toss to combine. Serve topped with the tomatoes, additional basil, and shaved Parmesan.