Clustering based on location and time

I am trying to figure out whether I am home, at university or somewhere else based on gps coordinates and timestamps.

For example: I have some entries at the same locations at 8:00, 9:00 and so on, and at 12:00 location changes -> so 8-14 should be classified as school time and that location should be marked as university place.

My questions is: what do I need to achieve this? Any suggestion is welcome. Thanks