Toss together the celery, Parmigiano-Reggiano and walnuts in a mixing bowl.
Then drizzle on the olive oil and vinegar and toss to combine.
Taste and season with salt and pepper if desired.
Parmigiano-Reggiano is a hard, salty unpasteurized cow's milk cheese exclusively from the Emilia-Romanga region of Italy. The word, Parmesan is often used generically for various simulations of this cheese. You can use Parmigiano-Reggiano, Parmesan or Pecorino Romano interchangeably in this recipe. If you are allergic to walnuts, raw pumpkin seeds would be a good alternative.