Chop the mushrooms into bite-sized pieces. Toss with olive oil, salt, and pepper and place in a single layer on a sheet tray. Roast at 350° for 10 minutes. The mushrooms should begin to brown, and the edges should get crispy.
Blanch the peas in boiling water for 30 seconds, then shock in ice water to maintain the bright green color.
Bring a pot of salted water (like the sea) to a rolling boil. Cook the pasta while you make the sauce. If using pre-made pasta, cook according to the package directions and drain; do not rinse. If using fresh-made, boil three minutes and drain; do not rinse. The cooked pasta will go directly into the pan where you are making the sauce.
While the noodles are cooking, sauté the shallots, garlic, and garlic scapes over medium heat, about 1 minute.
Deglaze the pan with white wine, add cream, peas, and mushrooms, and salt and pepper to taste, and bring to a simmer. Taste and adjust seasoning and consistency with salt, pepper, and cream. Add the pasta to the sauce along with a small handful of cheese and a pinch of parsley and toss to coat.
Divide pasta, sauce, and garnishes into four servings. Finish with a little more of the cheese and parsley.