Geoffrey Colin Shephard (16 August 1927 - 3 August 2016)
was a British mathematician who worked on convex geometry and reflection groups. He asked
Shephard's problem on the volumes of projected convex bodies, posed
another problem on polyhedral nets, proved the
Shephard–Todd theorem in invariant theory of finite groups, began the study of
complex polytope
In geometry, a complex polytope is a generalization of a polytope in real coordinate space, real space to an analogous structure in a Complex number, complex Hilbert space, where each real dimension is accompanied by an imaginary number, imaginary ...
s, and classified the
complex reflection group
In mathematics, a complex reflection group is a Group (mathematics), finite group acting on a finite-dimensional vector space, finite-dimensional complex numbers, complex vector space that is generated by complex reflections: non-trivial elements t ...
s.
Shephard earned his Ph.D. in 1954 from
Queens' College, Cambridge
Queens' College is a Colleges of the University of Cambridge, constituent college of the University of Cambridge. Queens' is one of the 16 "old colleges" of the university, and was founded in 1448 by Margaret of Anjou. Its buildings span the R ...
, under the supervision of
J. A. Todd. He was a professor of mathematics at the
University of East Anglia
The University of East Anglia (UEA) is a Public university, public research university in Norwich, England. Established in 1963 on a campus university, campus west of the city centre, the university has four faculties and twenty-six schools of ...
until his retirement.
Retired Faculty
, University of East Anglia School of Mathematics, accessed 2011-10-09.
Selected publications
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References
External links
Photo from Oberwolfach
{{DEFAULTSORT:Shephard, Geoffrey Colin
Year of birth missing (living people)
20th-century British mathematicians
21st-century British mathematicians
Alumni of Queens' College, Cambridge
Academics of the University of East Anglia