Spaghetti with Garlicky Marsala Mushrooms

Name: Spaghetti with Garlicky Marsala Mushrooms
Ingredients: 5 tablespoons extra-virgin olive oil; 1 pound white mushrooms, caps quartered; 1 pound shiitake mushrooms, stems discarded, caps quartered; Salt; freshly ground pepper; 4 large garlic cloves, 2 thinly sliced and 2 minced; 1 medium shallot, thinly sliced; 1 1/2 teaspoons minced rosemary; 1/2 cup dry Marsala wine; 3 tablespoons balsamic vinegar; 6 Calamata olives, pitted and coarsely chopped; 3/4 pound spaghetti; 2 tablespoons unsalted butter; 1/3 cup freshly grated Parmesan cheese, plus more for serving; 2 tablespoons minced chives