Even though the library closes early, find an all-night coffee shop or restaurant and stake out a table so you can have some time to yourself to study. Or find a friend, maybe a classmate, who's got their own place and is willing to let you study and crash there sometimes.
I definitely think a talk with your mother is in order. There need to be limits and boundaries, and if she wants you to get into university and out of her house, ever, she has to see the utility of giving you a brother-free space to study and keep your schoolwork.
It might also be worth it to make backups somehow - disks for computer work, photocopies for notes - and keep them somewhere the brother can't get to, like at someone else's place.
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"If ten million people believe a foolish thing, it is still a foolish thing."
- Anatole France
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