He was appointed a Fellow of the college in 2009.

He was appointed a Fellow of the college in 1671, holding this position until 1684.

He left the college in 2001, and was appointed an Honorary Fellow.

The same year he was appointed a Fellow of the Royal Society.

He was appointed Fellow of the Fields Institute in 2006.

He was appointed a Fellow of the British Academy in 2010.

On his retirement after 13 years as Director he was appointed Fellow of the Institute in 1979.

In 2012 he was appointed a Fellow of Gray's Inn.

On his retirement, he was appointed an Honorary Fellow.

He was appointed a Fellow of Jesus College in 1840 and retained this post until 1872.