 He is known for his work as artistic director for Ólöf Arnalds, recordings with Blonde Redhead, and as musical director for Laurie Anderson.Sverrisson released duo albums with Anthony Burr, Oskar Gudjonsson, and Hilmar Jensson.He has been a member of Pachora, Alas No Axis, the Allan Holdsworth group, and the Ben Monder group.