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.
[2] He returned to King's College London in 1975 as Lecturer, before being promoted to Reader in 1985 and Professor in 1990.
[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).