He spent most of his career at King's College London, including a stint as the head of the School of Physical Sciences and Engineering, and made several contributions to the representation theory of reductive p-adic groups and the local Langlands correspondence.
[1] He studied mathematics at King's College London, where he received his first class honors undergraduate degree and then a Ph.D. in 1972 under the supervision of Albrecht Fröhlich.
[4] From 1996 to 1997, he was a chairman of the mathematics department and from 1997 to 2004 he was the head of the School of Physical Sciences and Engineering.
[3] Bushnell's research included "major contributions to the representation theory of reductive p-adic groups and the study of the local Langlands correspondence.
"[1] In 1994, Bushnell was an invited speaker at the International Congress of Mathematicians in Zurich (Smooth representations of p-adic groups: the role of compact open subgroups).