Create Negative Space within an object
I am new to Illustrator, so I have probably created this image incorrectly to do what I want to do to it! Forgive me!
I am creating a brain image (for window art) and I want the "folds" in the brain to be transparent and the main portion of the brain is white.
You can see on the prefrontal cortex that the main brain is white, but so is the fold. The actual object of the fold is transparent, but it's taking on the main white colour.

What I want to happen is that the fold is almost cut out of the white area. I've tried shape builder, cutting out paths. Everything I try just deletes the fold and still leaves behind it white.
Any thoughts on how I can make these folds transparent?
