Bring a large pot of salted water to boil. Add pasta and cook according to package directions, until al dente. (see recipe note) Drain, reserving 1 or more cups of the cooking liquid.
Meanwhile, heat olive oil in a skillet over medium heat. Add garlic; cook and stir until garlic is tender and very lightly brown (take care not to burn it!). Stir in crushed red pepper. Add pasta and remove from heat; gently toss to coat, adding pasta water if you like to reach your desired consistency.
Add parsley and lemon juice and toss again. Season to taste with salt and freshly ground black pepper.
Serve topped with grated Parmesan cheese.
