I've used a recipe before (can't find it anymore, sorry) where I steamed sticks of celery root. The ingredients I remember are garlic (whole cloves steamed together with the celery), probably a small amount of water or vegetable broth and butter - or perhaps olive oil - (for the steaming) and Parmesan sprinkled over in the end. After steaming in a small amount of liquid covered with parchment until tender the vegetables were removed and the resulting broth cooked until thick and used as a glace.
My question is, what could I do to be able to cook this if I don't have Parmesan. As the dish does have a strong flavour on its own I think it would be OK but is there perhaps something (nondairy, non-meat, not from a special shop) I could substitute with? I am concerned with what would complement the tastes, not necessarily finding replica Parmesan taste in another product. I want this to taste great, not just be edible! Thanks