On October 16, 2018, the United States Trade Representative (USTR) notified Congress that the Trump administration intends to enter into negotiations for a trade agreement with the United Kingdom This notification is part of the Trade Promotion Authority process, which requires ongoing consultations with Congress. You can view the notification here.
The USTR published in the November 16 Federal Register a request for comments on the negotiating objectives for a U.S.-UK Trade Agreement.To date, the U.S. is poised to engage in talks once the UK has left the EU.
On February 28, 2019, USTR released the U.S.-UK Negotiating Objectives, which can be found here.
On February 27, 2020, the U.K. published their U.S. trade negotiating objectives, which can be found here.