The live team-up followed recent rumours of bad blood between the pair
Justin Timberlake and Selena Gomez also performed with the singer at her LA show on Wednesday (August 26)
Singer was joined onstage by the pair at Staples Center show on Tuesday night (August 25)
University is keen to add to name of prestigious guests who have previously given talks
"Ryan Adams is one of the artists who shaped my songwriting," says Swift
Singer also performed with Little Mix as 1989 tour stopped off in Santa Clara
Stewart and fellow actor Ian McKellen recently recited Taylor Swift song lyrics in online clips
Fetty Wap also appeared at CenturyLink Field concert
The 13-year-old is in serious condition
Rapper joins Swift to play in front of 60,000 fans