Step 1

Heat a large nonstick skillet over medium 2 minutes; brush lightly with oil. Sprinkle evenly with 1/3 cup cheese and almonds; cook until crisp and browned on bottom, about 2 minutes. Scrape onto a plate; let cool, then crumble. Return skillet to medium-high heat; swirl in oil. Add sausage and cook, breaking up with a spoon, until browned and cooked through, about 6 minutes. Add peppers and 3 teaspoons vinegar; cook 1 minute.

Step 2

Cook pasta in a pot of salted water 1 minute less than package instructions. Reserve 1/2 cup pasta water, then drain. Add pasta and remaining 2/3 cup cheese to skillet; toss to coat, adding enough reserved pasta water to create a silky sauce.

Step 3

In a bowl, toss arugula with remaining 1 teaspoon vinegar and a drizzle of oil; season to taste. Serve over pasta with frico.