Shane Cochrane has been charged over the Clayton hit-run collision. Credit:Victoria Police

A man has been charged with five offences including dangerous driving causing death after allegedly killing a university student in a hit-run collision.

Shane Cochrane, 37, was charged on Thursday night, a week after he allegedly ran a red light and ploughed into 20-year-old Monash University student Nisali Perera on Wellington Road in Clayton last week.

The Bayswater man was charged with culpable driving, dangerous driving causing death, failing to stop after a fatal collision, failing to render assistance after a fatal collision and driving while disqualified.

Mr Cochrane was arrested with his 33-year-old girlfriend Lauren Hindes, who has been charged with helping him avoid arrest until police tracked the couple down five days after the crash.