Career
He is the leader of Self-Government Party (Sjálvstýrisflokkurin) since 9 April 2015. Skorheim has been working as a salesman for Idé Møblar in Tórshavn and Vøruhúsið in Klaksvík and as a marketing manager at the EL-Indiana in Klaksvík. Skorheim was leader of Unga Sjálvstýri until 2011.
At the parliamentary election in 2011, the Self-Government Party got one member elected, Kári P. Højgaard was elected with 317 votes and Skorheim became his deputy member with 245 votes.
Three weeks after Skorheim was elected as mayor of Klaksvík on 1 January 2013, he took leave from the parliament from 22 January 2013, instead Kristianna Winther Poulsen took seat in the Løgting for six months, after that Skorheim took seat again in the Løgting. Skorheim left the parliament again in September 2013 when the prime minister sacked Højgaard on 5 September 2013 because of the Eysturoy-tunnel-case and took seat again in the parliament.
On 9 April 2015 Højgaard withdraw as the leader of the party because he was concerned about the judge examination of the Eysturoy-tunnel-case, and Skorheim became new leader.