William Allen Casselman (born November 27, 1941) is an

American Canadian American Canadians are Canadians of American descent. The term is most often used to refer to Canadians who migrated from or have ancestry from the United States. Demography According to the 2016 Census, 29,590 Canadians reported American as ...

mathematician who works in

representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...

and

automorphic forms In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G o ...

. He is a Professor Emeritus at the

University of British Columbia The University of British Columbia (UBC) is a public research university with campuses near Vancouver and in Kelowna, British Columbia. Established in 1908, it is British Columbia's oldest university. The university ranks among the top thre ...

. He is closely connected to the

Langlands program In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by , it seeks to relate Galois groups in algebraic num ...

and has been involved in posting all of the work of

Robert Langlands Robert Phelan Langlands, (; born October 6, 1936) is a Canadian mathematician. He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study o ...

on the internet.

Career

Casselman did his undergraduate work at

Harvard College Harvard College is the undergraduate college of Harvard University, an Ivy League research university in Cambridge, Massachusetts. Founded in 1636, Harvard College is the original school of Harvard University, the oldest institution of higher lea ...

where his advisor was

Raoul Bott Raoul Bott (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous basic contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions whi ...

and received his Ph.D from

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...

in 1966 where his advisor was

Goro Shimura was a Japanese mathematician and Michael Henry Strater Professor Emeritus of Mathematics at Princeton University who worked in number theory, automorphic forms, and arithmetic geometry. He was known for developing the theory of complex multipli ...

. He was a visiting scholar at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...

in 1974, 1983, and 2001. He emigrated to Canada in 1971 and is a Professor Emeritus in mathematics at the

Research

Casselman specializes in

, geometric combinatorics, and the structure of

algebraic groups In mathematics, an algebraic group is an algebraic variety endowed with a group structure which is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. M ...

. 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

fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...

s of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Selected publications

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References

External links

Publications of Bill Casselman

Bill Casselman's Home Page

William Allen Casselman at the Mathematics Genealogy Project
{{DEFAULTSORT:Casselman, Bill 1941 births Group theorists Algebraists 20th-century Canadian mathematicians 21st-century Canadian mathematicians University of British Columbia Faculty of Science faculty Institute for Advanced Study visiting scholars Harvard College alumni Princeton University alumni Living people Fellows of the American Mathematical Society People from Glen Ridge, New Jersey