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Whilst a student, Hepburn ran the unsuccessful campaign for Alasdair Gray to become the Rector of the University of Glasgow and was the Senior Vice-President at the Glasgow University Students' Representative Council, a post once held by his SNP Parliamentary colleague Alasdair Allan.
Sir George was a descendent of Ilay Campbell, Lord Succoth, who had studied Law at the University and later served as Lord President of the Court of Session and Rector of the University.