Adderall Hawk, also known as Add Hawk, was a Mathemancer with the Flight special serving Faq prior to its destruction.
Real World References
Ad Hoc is Latin for "For This," and refers to a solution designed for a specific task and is not generalizable to other purposes.
Adderall's nickname, "Add," is a reference to being a practitioner of Mathemancy.
In addition, Hawk is a type of bird, tying into his posession of the Flight special.