Add the garlic and chives and cook for one minute. Remove from heat and season with salt and pepper to taste.
In large bowl, vigorously whisk eggs, heavy cream, milk, nutmeg, salt and pepper. Gently fold in half of the goat cheese (2 oz) and half of the parmesan (1/4 cup).
In 9-inch glass or ceramic pie dish, roll out room temperature pie dough and press firmly. Trim the excess dough and crimp edges, if desired.
Layer mushrooms into pie crust. Crumble remaining goat cheese over the mushrooms. Top with remainder of parmesan.
Pour egg mixture into pie dish. Bake 35 to 40 minutes or until eggs are just set.
Let quiche rest for at least one hour before serving. Serve warm or at room temperature.
Notes
For wild mushrooms, look for creminis, oysters and shitakes.