Bring the salted water to a boil and add the oil. Break pasta in half. Add pasta to boiling water; cook until done.
Blend the two cheeses together.
Burn the butter in a frying pan.
Rinse cooked pasta in cold water to remove starch. Have a large serving dish ready.
Sprinkle ⅓ of the cheese on the bottom of the serving dish. Using tongs, put a layer of pasta on the dish and sprinkle with another portion of the cheese; continue alternating pasta and cheese. Pour burnt butter over the entire dish and serve immediately.