In a large pot, combine the oil, garlic and pepper flakes. Cook over medium-high, stirring often, until fragrant, about 1 minute. Add the tomatoes with juices, 1 teaspoon salt and ½ teaspoon black pepper. Add 3 cups water and the pasta; stir to combine. Bring to a boil over medium-high, then reduce to medium, cover and cook, stirring occasionally, until the pasta is al dente, 9 to 11 minutes.
Remove the pot from the heat and stir in the Parmesan. Cover and let stand for 5 minutes. Stir vigorously, then taste and season with salt and black pepper. Serve drizzled with additional oil and sprinkled with additional cheese.
