Bring a large pot of salted water to a boil.
Bring the milk, cream cheese and Parmesan to a simmer in a large saucepan, whisking vigorously until the cream cheese is dissolved and the sauce is thick, about 5 minutes. Season with 1/2 teaspoon salt and a few grinds of pepper. Stir in the peas, remove from the heat, and stir in the ham.
Add the pasta to the boiling water and cook according to package directions. Drain the pasta and toss with the sauce. Season with salt and pepper, sprinkle with additional Parmesan, and serve hot.
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