blog: How to host a wordpress website on a host where I do not have administrator privileges?

I'm not sure how to explain my problem correctly.

The situation is such:
my university offers a free domain to all students, and basically works by placing the files of the website in the subfolder with the correct name to which only you have access. Currently, I have a basic html site hosted in this way, but I want to have a blog, so I'm thinking about transferring to wordpress. Honestly, I have no idea where to start, since I'm just your garden variety physicist and google is not very useful.

If I understand it correctly, I would have to install WordPress on the host computer of my university and I do not have the privilege to do so.