In a pot of boiling, salted water, cook the pasta until al dente. Drain.
Meanwhile, in a large skillet, heat the olive oil over medium-high heat. Add the shallot and cook, stirring, until softened, about 2 minutes. Add the chicken broth, bring to a boil, then lower the heat to medium. Add the pasta and toss.
Remove the skillet from the heat and stir in 1 cup cheese and the prosciutto. Season with salt and pepper; toss. Top with more cheese.