Heat peanut oil in a deep-fryer or large saucepan to 350 degrees F (175 degrees C).

Mix flour, beer, cornstarch, egg whites, baking powder, white pepper, baking soda, celery salt, and black pepper together in a bowl with a wire whisk to form the batter.

Dip asparagus spears individually in the batter and place carefully in the hot oil. Fry until golden brown, about 2 minutes. Dust fried asparagus with Parmesan cheese.