Professor Colin Bushnell
Telephone: +44 020 7848 2488
Office: S1.30 a
Title: Professor in Mathematics.
Research Group: Number Theory
Colin Bushnell first joined the KCL Mathematics Department in 1965, as an undergraduate student. He took his PhD there in 1972, and has been a member of the Department continuously since 1974. He has been a professor since 1990, he was Head of Department 1996-7, Head of the School of Physical Sciences and Engineering 1997-2004. Since then, he has been Assistant Principal.
He was a Member of the Institute for Advanced Study (Princeton) 1988-9 and a visiting member of IHES in 1993. He was a member of SERC Mathematics Committee 1990-93 and a member of the EPSRC College of Reviewers for many years subsequently. He has written some 70 papers and 3 books. He was awarded the Senior Whitehead Prize of the London Mathematical Society in 1995 and an invited speaker at the International Congress of Mathematicians in 1994.
The representation theory of reductive p-adic groups, the Langlands correspondence and applications to local arithmetic.
Selection of Publications
- (With A. Fröhlich) Gauss sums and p-adic division algebras. Lecture Notes in Math. 987, Springer (Berlin-Heidelberg-New York), 1983. ix + 187 pages.
- (With P.C. Kutzko) The admissible dual of GL(N) via compact open subgroups. Annals of Math. Studies 129, Princeton University Press 1993. iii + 313 pages.
- (with G. Henniart) The local Langlands Conjecture for GL(2). Grundlehren der mathematischen Wissenschaften 335 (2006), xi+347 pp.
- Hereditary orders, Gauss sums and supercuspidal representations of GLN. J. reine angew. Math. 375/376 (1987), 184-210.
- (With P.C. Kutzko) Smooth representations of p-adic reductive groups; Structure theory via types. Proc. London Math. Soc. (3) 77 (1998), 582-634.
- (With G. Henniart) Local tame lifting for GL(N) I: simple characters. Publ. Math IHES 83 (1996), 105-233.
- (With G. Henniart and P.C. Kutzko) Local Rankin-Selberg convolutions for GLn: explicit conductor formula. J. Amer. Math. Soc. 11 (1998), 703-730.
- (with G. Henniart) The essentially tame local Langlands correspondence, III: the general case. Proc. London Math. Soc. (3) 101 (2010), 497-553.