Fuat Deniz was stabbed on campus at Örebro University by an unidentified attacker on Tuesday afternoon. He later died from his injuries at Örebro University Hospital.
Police are currently trying to form a picture of the victim's life in an attempt to discover a possible motive. But their efforts have so far proved fruitless.
"It's a complicated task," said police spokesman Torbjörn Carlson.
After Tuesday's attack, a possible suspect was seen leaving the campus grounds.
A person thought to be the same man was later spotted at a store in central Örebro. Two witness described the man to police, whose image was also captured on security camera.
"But we have not yet identified a suspect. He is not identifiable from the security camera images," said Carlson.
The police spokesman would not say whether police had managed to secure a sample of the perpetrator's DNA from the crime scene.
Fuat Deniz, a Christian Assyrian, moved to Sweden from Turkey with his parents in the 1970s.