Bill Casselman

For other people with the same name, see William Casselman (disambiguation).

Bill Casselman
Casselman in 1969
Born	William Allen Casselman (1941-11-27) November 27, 1941 Glen Ridge, New Jersey, U.S.
Citizenship	Canadian
Alma mater	Princeton University
Scientific career
Fields	Representation theory Automorphic forms Geometric combinatorics Structure of algebraic groups
Institutions	University of British Columbia
Doctoral advisor	Goro Shimura

William Allen Casselman (born November 27, 1941) is an American Canadian mathematician who works in representation theory and automorphic forms. He is a Professor Emeritus at the University of British Columbia. He is closely connected to the Langlands program and has been involved in posting all of the work of Robert Langlands on the internet.

Career

Casselman did his undergraduate work at Harvard College where his advisor was Raoul Bott and received his Ph.D from Princeton University in 1966 where his advisor was Goro Shimura. He was a visiting scholar at the Institute for Advanced Study in 1974, 1983, and 2001. He emigrated to Canada in 1971 and is a Professor Emeritus in mathematics at the University of British Columbia.

Research

Casselman specializes in representation theory, automorphic forms, geometric combinatorics, and the structure of algebraic groups. He has an interest in mathematical graphics and has been the graphics editor of the Notices of the American Mathematical Society since January, 2001.

Awards

In 2012, he became one of the inaugural fellows of the American Mathematical Society.

Selected publications

• Casselman, Bill (1973). "On some results of Atkin and Lehner". Mathematische Annalen. 201 (4): 301–314. doi:10.1007/BF01428197. S2CID 121867474.
• Casselman, Bill (1977). "Characters and Jacquet modules". Mathematische Annalen. 230 (2): 101–105. doi:10.1007/BF01370657. ISSN 0025-5831. S2CID 121574262.
• Casselman, Bill (1980). "The unramified principal series of p-adic groups. I. The Spherical function". Compositio Mathematica. 40 (3): 387–406.
• Casselman, Bill; Shalika, Joseph (1980). "The unramified principal series of p-adic groups. II. The Whittaker function". Compositio Mathematica. 41 (2): 207–231.
• Casselman, Bill; Milicic, Dragan (1982). "representations". Duke Mathematical Journal. 49 (4): 869–930. doi:10.1215/S0012-7094-82-04943-2. ISSN 0012-7094.
• Borel, Armand; Casselman, Bill (1983). "L2-cohomology of locally symmetric manifolds of finite volume". Duke Mathematical Journal. 50 (3): 625–647. doi:10.1215/S0012-7094-83-05029-9. S2CID 122723214.
• Casselman, Bill; Shahidi, Freydoon (1998). "On irreducibility of standard modules for generic representations". Annales Scientifiques de l'École Normale Supérieure. 31 (4): 561–589. doi:10.1016/S0012-9593(98)80107-9.
• Casselman, Bill (2005). Mathematical Illustrations: A Manual of Geometry and PostScript. Cambridge University Press. ISBN 0521839211.

External links

• Publications of Bill Casselman
• Bill Casselman's Home Page
• William Allen Casselman at the Mathematics Genealogy Project