Henry Fogg is the dean of Brakebills and is shown to be alternatively severe, kind, wise, and cynical throughout the novels. His words often prove influential on Quentin's thinking. When Quentin was tested for Brakebills, Fogg almost rejected him until the former proved that he had latent magic in him.
Magic and Abilities
Basic Magical Abilities
Spell Casting - The ability to use magic and cast spells through complex somatic movements. He has been noted to being powerful enough to notice magic on the caliber of a time loop, but not powerful enough to actual do anything about said time loop magic.
Discipline - Unknown (books), Knowledge (TV series)
On the tv series in a flashback to an earlier time-line it was revealed that Fogg and Julia are both Knowledge students, who live (quite logically) over the schools library. He makes a point of saying that he is still a Knowledge student because Knowledge students never stop learning.
Note: Henry, like many of the professor's at Brakebills, is a very powerful magician and it is implied in the series that he has made some spells of his own.