Cook the pasta in a large pot of boiling salted water following package directions. Drain the pasta thoroughly in a colander. Return the pasta to the pot and set aside.

Melt the butter in a medium saucepan over medium heat. Add the diced ham and cook until lightly browned, stirring frequently. Add the cream and peas. Bring the mixture to a simmer. Continue cooking for 3 to 4 minutes, or just until the peas are tender. Add 3/4 cup of Parmesan cheese and cook, stirring, until the cheese has melted, about 2 minutes. Add about half of the chopped parsley and stir to blend.

Pour the sauce over the pasta and toss until thoroughly coated. Add salt and pepper, to taste.

Put the pasta mixture in a serving bowl and sprinkle with the remaining chopped parsley.

Serve the pasta with extra Parmesan for sprinkling.