On a rimmed baking sheet, toss the vegetables with olive oil, dried herbs, salt, and pepper. Roast for about 20 minutes, until they begin to brown. Transfer to a medium bowl.
Bring a medium pot of water to a boil. Add 1/2 teaspoon kosher salt and the pasta. Cook until al dente, about 5 to 8 minutes. Drain and add the pasta to the bowl with the vegetables.
Stir in the butter and Parmesan cheese. Adjust the cheese to taste.
Transfer to a plate and serve.
Notes
Use What You Have: Any fresh vegetables will work, no need to stick to the exact ones listed.
Cut Evenly: Chop vegetables into similar sizes so they roast evenly.
Prep Ahead: Save time by chopping vegetables a few days in advance and storing them in the fridge.