Remove and discard the tough ends of the asparagus, then slice into one-inch pieces. Place in a steamer basket set over boiling water. Steam for 5 to 8 minutes or until crisp-tender. The total time will depend on the thickness of the asparagus.
Whisk together the olive oil, lemon juice, salt and pepper.
Bring a large pot of salted water to a rolling boil, and cook the pasta until al dente. Before draining, reserve some of the pasta water using a ladle or liquid measuring cup.
Transfer the pasta to a large bowl. Add the dressing along with the steamed asparagus and asiago cheese, tossing to combined. If needed, add a small amount of the pasta water to help bring the ingredients together. Add additional lemon juice, salt and pepper if desired. Transfer to a serving bowl and top with additional grated cheese.
Pasta salad can be served warm or at room temperature.