Your conscious awareness of your own name and self-identity depends primarily on the normal functioning of your

Your conscious awareness of your own name and self-identity depends primarily on the normal functioning of your cerebral cortex.

Explanation:

The outer thin layer present on the cerebrum is called the cerebral cortex. The cerebrum cortex plays an important role in generating consciousness and it determines the intelligence of a person. It also serves in other important functions like processing of language, generating sensations of touch etc.

If damages occur in the cerebral cortex, then neurodegenerative diseases like Al Alzheimer occur which shows clear link of the cerebral cortex to a person's memory.