Prep: 7 minutes; Cook: 18 minutes.
Preheat oven to 400°.
Cook the pasta according to the package directions. Reserve 3/4 cup of the cooking water, drain the pasta, and return to the pot.
Toss together broccoli and next 5 ingredients (through pepper) on a rimmed baking sheet. Roast, tossing once, 18–20 minutes or until the broccoli is tender.
Toss the pasta with the broccoli mixture, butter, and 1/2 cup reserved pasta water. (Add more water if the pasta seems dry.) Sprinkle with Parmesan cheese before serving.
adapted from Real Simple
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