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Professor Colin Bushnell

Telephone: +44 020 7848 2488

Email: colin.bushnell@kcl.ac.uk

Office: S1.30 a

Title: Professor in Mathematics.

Research Group: Number Theory

Biography

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.

Research Interests

The representation theory of reductive p-adic groups, the Langlands correspondence and applications to local arithmetic.

Selection of Publications

Books.

  1. (With A. Fröhlich) Gauss sums and p-adic division algebras. Lecture Notes in Math. 987, Springer (Berlin-Heidelberg-New York), 1983. ix + 187 pages.
  2. (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.
  3. (with G. Henniart) The local Langlands Conjecture for GL(2). Grundlehren der mathematischen Wissenschaften 335 (2006), xi+347 pp.

Selected Papers

  1. Hereditary orders, Gauss sums and supercuspidal representations of  GLN. J. reine angew. Math. 375/376 (1987), 184-210.
  2. (With P.C. Kutzko) Smooth representations of p-adic reductive groups; Structure theory via types. Proc. London Math. Soc. (3) 77 (1998), 582-634.
  3. (With G. Henniart) Local tame lifting for GL(N) I: simple characters. Publ. Math IHES 83 (1996), 105-233.
  4. (With G. Henniart and P.C. Kutzko) Local Rankin-Selberg convolutions for GLn: explicit conductor formula. J. Amer. Math. Soc. 11 (1998), 703-730.
  5. (with G. Henniart) The essentially tame local Langlands correspondence, III: the general case. Proc. London Math. Soc. (3) 101 (2010), 497-553.
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