Ingredients
Kosher salt and freshly ground pepper
12 ounces long pasta, such as spaghetti or linguine
1/4 cup extra-virgin olive oil, plus more for serving
4 cloves garlic, minced (2 tablespoons)
2 pounds beefsteak tomatoes, or a combination of beefsteak, heirloom, and Campari tomatoes, grated on a box grater (3 cups)
2 basil sprigs, plus fresh leaves for serving
1 ounce Parmigiano-Reggiano, grated (1/2 cup packed), plus more for serving
Preparation
Bring a large pot of salted water to a boil. Add pasta and cook until slightly less than al dente, about 2 minutes less than package directions. Reserve 1 cup pasta water, then drain.
Meanwhile, heat oil and garlic in a large straight-sided skillet over medium-high until just sizzling, about 30 seconds. Add tomatoes and basil sprigs; season with salt and pepper. Bring to a boil, then reduce heat to medium and simmer until reduced to about 2 cups, 8 to 10 minutes. Discard basil.
Add pasta and 1/4 cup pasta water; cook, stirring, until pasta is cooked through, 1 to 2 minutes. Remove from heat. Add cheese and continue stirring and shaking pan, adding more pasta water as needed to create a creamy sauce. Serve, sprinkled with more cheese, basil leaves, and pepper, and drizzled with oil.