3 potato salad with arugula pesto and Recipes

red bliss potatoes, peeled, arugula, grated parmesan cheese , plus 2 tbsp, walnuts or pine nuts, plus 1 tbsp, water, a generous seasoning of salt and freshly ground black pepper, extra virgin olive oil , plus 1 tbsp

boiling potatoes (preferably yellow-fleshed),quartered lengthwise and cut crosswise into 3/4-inch pieces, washed and spun, pine nuts, olive oil, freshly grated parmeasan, unsalted butter,cut into bits and softened, garlic clove, crushed