Hillary has just begun teaching a class and is trying to memorize the names of her students. her ability to store the names to memory will rely upon the work of her:

It will rely on the work of her Hippocampus. The hippocampus is the part of the brain that contributes to memory, and long-term memory in particular. Humans and other mammals have two of the hippocampus, the plural for the word is hippocampi.