Stuff like this, though "near the uni" would make it easier to access if/when the hardware needs a bit of adjustment. :)
* https://www.hetzner.com/colocation
Note that co-location pricing can be all over the place (from low to incredibly high), so don't get discouraged too early.
This website might be useful too, as it seems to show data centers in various countries.
* https://www.datacentermap.com/switzerland/
Might be useful for putting together a list of places to investigate. :)