Step 1

Cook pasta in a large pot of boiling water until tender, 8 to 10 minutes. Drain, return to the pot and set aside.

Step 2

Meanwhile, heat oil in a large skillet over medium heat. Add mushrooms and Brussels sprouts and cook, stirring often, until the mushrooms release their liquid, 8 to 10 minutes. Add garlic and cook, stirring, until fragrant, about 1 minute. Add sherry (or vinegar), scraping up any brown bits; bring to a boil and cook, stirring, until almost evaporated, 10 seconds (if using vinegar) or about 1 minute (if using sherry).

Step 3

Whisk milk and flour in a bowl; add to the skillet with salt and pepper. Cook, stirring, until the sauce bubbles and thickens, about 2 minutes. Stir in Asiago until melted. Add the sauce to the pasta; gently toss. Serve with more cheese, if desired.