Special equipment: mandoline
Using a vegetable peeler, shave the asparagus. Shave the fennel bulb on a mandoline into very thin slices. In a large bowl, toss the shaved vegetables, basil and minced walnuts in a medium bowl. Dress the salad with the oil, lemon juice and some salt and pepper. Plate, and top each with Parmigiano-Reggiano shavings, then serve.