The Exchange mailserver at the university has a limited amount of storage quota for each user. This is to prevent a single user from accidentally filling up all space.
No worries. Just contact contact email@example.com to get more space. Send a mail from your own account and ask for a more mailbox space.
How to check usage
In Exchange 2016 you do this to check your usage:
- Open Options in the top right corner cogwheel
- Go to General in the left menu
- And then to My account
- Mailbox usage should be reported in the right bottom corner.