Creamy Pasta with Tomato Confit and Fresh Goat Cheese

Name: Creamy Pasta with Tomato Confit and Fresh Goat Cheese
Ingredients: 1 cup extra-virgin olive oil, for poaching; 3 plum tomatoes—peeled, quartered and seeded; 2 thyme sprigs; 1 bay leaf; 2 garlic cloves, minced; 2 tablespoons unsalted butter; 1 small onion, coarsely chopped; Kosher salt; 1/2 pound ditalini or other small-cut pasta (1 1/2 cups); 3 1/2 cups chicken stock or low-sodium broth; 1/2 cup soft fresh goat cheese (4 ounces); 1/2 cup tightly packed freshly grated Parmigiano-Reggiano (2 1/2 ounces), plus more for serving; Freshly ground pepper; 2 tablespoons snipped chives; 2 tablespoons finely shredded basil leaves