After taking his master's degree (22 April 1658), he took to preaching, but he refused to conform to the ceremonies of the church of England, and was deprived of his fellowship 4 June 1663.
He was buried in Macclesfield church, and the inscription on his monument states that he was a linguist as well as a mathematician, chemist, and natural philosopher, and that he pursued studies under Robert Boyle.
Brancker's earliest publication was Doctrinæ Sphæricæ Adumbratio unà cum usu Globorum Artificialium, Oxford, 1662.
In 1668 he published a translation of an introduction to algebra from the German of Johann Rahn, and added a factor table for odd numbers up to 100,000.
688–9), and the table and preface were reprinted by Francis Maseres in a volume of mathematical tracts (1795), together with James Bernoulli's Doctrine of Permutations and other papers.