1816 – Joshua King was a sizar at Queens’ College.
1819 – He graduated as senior wrangler, winning the Smith’s Prize.
1828 – He argued the position that the president of Queens’ College did not have the authority to participate in the election of fellows of the college. He lost the appeal in a decision by Lord Lyndhurst.
1832 – King was president of Queens’ College.
1833 – He was vice-chancellor of Cambridge during the academic.
– He was the president of the Cambridge Philosophical Society.
1839-1849 – Lucasian Professor of Mathematics at Cambridge University.
– He was elected to the Lucasian professorship and resigned, giving no lectures and publishing no papers.