Mathematics Department Vice-principal and member of the Number Theory and Lie Theory and Geometry groups

Prof Colin J Bushnell Department of Mathematics King's College London Strand, London WC2R 2LS United Kingdom Tel: +44-(0)0207-848 2488 (direct) Tel: +44-(0)0207-848 2107 (general office) Fax: +44-(0)0207-848 2017 E-mail: colin.bushnell@kcl.ac.uk

Research Interests

• Number Theory
  • The representation theory of p-adic groups and its relations with Number Theory via the Langlands conjectures.

Recent Publications

• (with G. Henniart) Counting the discrete series for GL(n). Bull. London Math. Soc. 39 (2007), 133-137.
• (with G. Henniart) The local Langlands Conjecture for GL(2). Grundlehren der mathematischen Wissenschaften 335 (2006), xi+347 pp.
• (with G. Henniart) The essentially tame local Langlands correspondence, II: totally ramified representations. Compositio Mathematica 141 (2005), 979-1011.
• (with G. Henniart) The essentially tame local Langlands correspondence, I. J. Amer. Math. Soc. 18 (2005), 685-710.
• (with G. Henniart) Local tame lifting for GL(n) III: explicit base change and Jacquet-Langlands correspondence. J. reine angew. Math. 508 (2005), 39-100.
• (with G. Henniart) Local Jacquet-Langlands correspondence and parametric degrees. Manuscripta Math. 114 (2004), 1-7.
• (with G. Henniart) Explicit unramified base change: GL(p) of a p-adic field. J. Number Theory 99 (2003), 74-89.
• (with G. Henniart) Local tame lifting for GL(n) IV: simple characters and base change. Proc. London Math. Soc. 87 (2003), 337-362.

RECENT PREPRINTS

• (with G. Henniart) Self-dual representations of some dyadic groups. Preprint, 2008, 14 pp.
• (with G. Henniart and P.C. Kutzko) Types and explicit Plancherel formulae for reductive p-adic groups. Preprint, 2008, 35 pp.
• (with G. Henniart) The essentially tame local Langlands correspondence, III: the general case. Preprint, 65pp., 2006.