Cut the bottoms off the asparagus. Set aside 1 fistful of asparagus (you will broil these for a topping). Chop the rest of the asparagus stalks in 1 inch pieces and divide into two piles. It would be good if one pile had softer pieces such as the heads and slim stems and the other pile had the chunkier stalks. Make sure you have 3 cups of chunkier stalks which you will use to make the sauce.
Boil water for pasta. Dissolve enough salt in this water that it tastes like the ocean, for us this is usually around 3-4 tbsp to about 3 quarts of water. This may seem like a lot of salt, but most of it will be washed away when you drain the pasta, and the vegetables and pasta will absorb salt during the cooking process so that the dish will taste well seasoned without needing to be salted much when it is finished. Start to cook the pasta. When it has 3 min left to be fully cooked, add the pile of softer asparagus pieces (heads and slim stalks). Let this cook for about 3 minutes. The goal is to cook the asparagus until it is bright green and tender, but not so much that it starts to lose its color. If you haven’t already, steal about a cup of water from the pot and set aside, you will use this in the sauce. Then, after about a minute or when the asparagus is bright green, drain the pasta asparagus mixture, rinse with cold water, and set aside.
While the pasta cooks, you can start cooking the sauce. Start by braising 3 cups of asparagus stalks. To braise, heat up the pan with 2 tbsp olive oil. Once the oil is hot, add the asparagus and cook until browned. Add about 1/2 cup of water and cook until asparagus is soft.