White Beans with Onion Confit

Name: White Beans with Onion Confit
Ingredients: 1/4 cup plus 2 tablespoons extra-virgin olive oil; 2 large onions, thinly sliced; 10 garlic cloves, thinly sliced; 1 scant tablespoon chopped rosemary; 1/4 teaspoon crushed red pepper; Kosher salt and freshly ground pepper; Two 15-ounce cans cannellini beans, drained and rinsed; 2 tablespoons chopped flat-leaf parsley; 1 cup water; 1/4 cup freshly grated Parmigiano-Reggiano