The hotel closest to the university is Hotell Björken, The University Hospital Hotel, but it is often booked-up by patients staying at the hospital and their relatives. There are however plenty of nice hotels available in the centre of Umeå, which is just a 20 minutes walk or a 5 minutes bus-ride away from the university.
For some of the more stylish options there are Stora Hotellet, Elite Hotel Mimer, Clarion Hotel and Comfort Hotel Winn. Mid-range options include U&Me hotell, which is a staff-less hotel (make sure you ask for a room high up, and facing the river!) and the family-run Hotel Uman. Finally for some more modest options you can try Hotell gamla fängelset, a reconverted old city gaol, where you can spend the night safely behind bars, which is located between the town centre and the university.