The Best Potato Salad

Name: The Best Potato Salad
Ingredients: 3 tablespoons extra-virgin olive oil; 4 garlic cloves, thinly sliced; 1 1/2 pounds baby Yukon Gold potatoes, scrubbed and halved; 3/4 pound cipollini onions, peeled (drop in boiling water for 1-2 minutes to make this easier); 1/8 teaspoon red-pepper flakes; 1 cup homemade or store-bought low-sodium chicken stock; Coarse salt and freshly ground pepper; 1 tablespoon plus 1 teaspoon white-wine vinegar; 1/2 cup picholine olives, pitted (2 1/2 ounces); 1 small fennel bulb, very thinly sliced (use a mandoline); 1/2 cup fresh flat-leaf parsley; 1 ounce Parmesan cheese, shaved (1 cup)