Ziti Chicken and Broccoli

About 3/4 lb pasta
3 cloves garlic, chopped
2 Tbsp butter
1 pint heavy cream
1 (10.75oz) can chicken stock
1/4 cup grated parmesan cheese
salt and pepper - to taste
3 Tbsp cornstarch
2  heads broccoli - steamed
1 (14 oz) can artichoke hearts, chopped in large chops
4 breaded and cooked chicken breasts, cut into pieces

Cook pasta.  In a large skillet, saute garlic in butter.  Stir in cream, broth.  Add parmesan cheese, salt and pepper.  Add cornstarch.  Simmer all together on low for 20 minutes . Once sauce is cooked, add broccoli and artichoke hearts.  Cook for another 2-3 minutes.  Once sauce is done, toss with pasta, broccoli and chicken.