FYI. Funding is available for US and UK undergraduates, postgraduates, academics and professionals, as well as several short-term programmes.
UK to US
Fulbright Postgraduate and Scholar Awards provide funding for UK citizens to undertake study, research and/or teaching in any field in the US for a period of 3-12 months. It is the only scholarship programme that supports academic study, research and teaching in any subject at any US higher education institution. Approximately 40 grants are offered each year to UK citizens.
Deadline: 6th November, 2018
Funding is also available for undergraduate and short-term study abroad programmes.
For more information on all programmes, visit: http://www.fulbright.org.uk/news/fulbright-award-applications-open-for-uk-citizens
US to UK
Fulbright Awards and Summer Institutes are available for US students, academics at all career levels and professionals interested in studying, researching or teaching at higher education institutions in the UK.
For more information on all programmes (programs!), visit: http://www.fulbright.org.uk/going-to-the-uk