Many in the university sector are committed to the European idea and regret the UK's exit from the Union. There is widespread concern about how this will affect the strong links in research, education and innovation between the UK and the rest of Europe. However, having avoided a chaotic "no-deal" Brexit allows for clarity about the next steps in the negotiation and about the new relationship between the UK and the EU. This briefing gives an overview of what has already been agreed and the further process towards the future relationship between the EU and the UK, with a focus on areas relevant to universities.