Skyrim - Extra Credit Assigment. I need to return to the school but I keep finding doors!

Alcano has lost it and it's up to me to put an end to this insanity. When that's all said and done I meet yet another crazy person who wants me to retrieve somethign from a lost dwarven empire. After a bit of a journey and getting lost in the mountains I decide to wrap things up in Markath.