In 2013 she starred in the films Nymphomaniac: Vol. I and Nymphomaniac: Vol. II. For this role she had a porn double and was nominated for a Bodil Award for Best Actress in a Leading Role. She also starred as Winter in the movie Sophie. In 2015 Martin is set to star in the films High-Rise and The Tale of Tales. Stacy lives in London with her boyfriend Daniel Blumberg of the bands Yuck and Cajun Dance party.