We're pretty familiar with the heads of the other houses:
- The Head of Gryffindor is McGonagall
- The Head of Hufflepuff is Sprout
- The Head of Slytherin is
SlytherincessSnape, then Slughorn
But who is the head of Ravenclaw?
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Filius Flitwick is the head of Ravenclaw.
Hogwarts Charms professor and Head of Ravenclaw house
Interestingly Filius and Minerva both had a similar experience with the sorting hat which featured opposite outcomes, Minerva into Gryffindor and Filius into Ravenclaw.
After five and a half minutes, the Sorting Hat, which had been vacillating between the houses of Ravenclaw and Gryffindor, placed Minerva in the latter. (In later years, this circumstance was a subject of gentle humour between Minerva and her colleague Filius Flitwick, over whom the Sorting Hat suffered the same confusion, but reached the opposite conclusion. The two Heads of house were amused to think that they might, but for those crucial moments in their youths, have exchanged positions
We see that it's Flitwick in at least Harry Potter and the Half-Blood Prince:
"Thank you, Hagrid," said Professor McGonagall, standing up at once and turning to look at the group around Bill's bed. "I shall have to see the Ministry when they get here. Hagrid, please tell the Heads of Houses — Slughorn can represent Slytherin — that I want to see them in my office forthwith. I would like you to join us too."
"Rosmerta?" said Professor McGonagall incredulously, but before she could go on, there was a knock on the door behind them and Professors Sprout, Flitwick, and Slughorn traipsed into the room, followed by Hagrid, who was still weeping copiously, his huge frame trembling with grief.
Harry Potter and the Half-Blood Prince, chapter 29
Since we know that Sprout is Hufflepuff's Head of House, and Slughorn was just said to be Slytherin's, that leaves Flitwick as Ravenclaw's.
We also see a more direct mention earlier:
When Harry and Hermione arrived in the Hall (Ron had come down with Lavender), they found that the tables had disappeared. Rain lashed down against the high windows and the enchanted ceiling swirled darkly above them as they assembled in front of Professors McGonagall, Snape, Flitwick, and Sprout — the Heads of Houses — and a small wizard whom Harry took to be the Apparation instructor from the Ministry.
Harry Potter and the Half-Blood Prince, chapter 18