<Tr> <Td> Septima Vector </Td> <Td> Arithmancy </Td> <Td> The Arithmancy teacher during the entire series, known to give her students large amounts of homework . She is only mentioned, as Arithmancy is Hermione's favorite class, but Harry never signed up for it . </Td> </Tr> <P> The following are notable teachers and staff members who do not have their own articles or who are not listed in other articles . </P> <P> Argus Filch is the caretaker of Hogwarts . While he is not an evil character, he is ill - tempered, which makes him unpopular with the student body, and occasionally with other staff . His knowledge of the secrets and short - cuts of the castle is almost unparalleled, except perhaps by the Weasley twins, Voldemort himself, Harry, Ron and Hermione, and other users of the Marauder's Map . He tends to favour almost sadistically harsh punishments, leading to his alliance with Umbridge . He has an obsessive dislike of mud, animate toys, and all other things that might interfere with his creation of an immaculately clean and orderly Hogwarts . He is also portrayed as having a constant antagonism towards Peeves the poltergeist and often tells Dumbledore that Peeves should be thrown out of Hogwarts . He also likes to wander Hogwarts corridors at night, presumably in the hope of catching a student out of bed . </P> <P> Filch is revealed to be a Squib in Harry Potter and the Chamber of Secrets when Harry accidentally discovers that he is trying to teach himself basic magic from a Kwikspell correspondence course . Nonetheless, Filch is at least able to use wizarding devices that have their own innate magic, such as the Secrecy Sensor used in Harry Potter and the Half - Blood Prince . It is hinted that his dislike of students may stem from his disappointment and jealousy at not being able to do magic . In the Half Blood Prince, Harry and Hermione jokingly suspect that he is in a relationship with Irma Pince, the librarian at Hogwarts . In Harry Potter and the Deathly Hallows, the final book, when the school starts preparing itself for the Battle of Hogwarts, Filch is seen yelling that students are out of bed . He is later seen overseeing the evacuation of younger students . </P>

Who is the new headmaster of hogwarts after dumbledore died