Geoffrey Colin Shephard is a mathematician who works on convex geometry and reflection groups. He asked

Shephard's problem In mathematics, Shephard's problem, is the following geometrical question asked by Geoffrey Colin Shephard in 1964: if ''K'' and ''L'' are centrally symmetric convex bodies In mathematics, a convex body in n-dimensional Euclidean space \R^n is ...

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 space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one. A complex polytope may be understood as a collecti ...

s, and classified the

complex reflection group In mathematics, a complex reflection group is a finite group acting on a finite-dimensional complex vector space that is generated by complex reflections: non-trivial elements that fix a complex hyperplane pointwise. Complex reflection groups arise ...

s. Shephard earned his Ph.D. in 1954 from

Queens' College, Cambridge Queens' College is a constituent college of the University of Cambridge. Queens' is one of the oldest colleges of the university, founded in 1448 by Margaret of Anjou. The college spans the River Cam, colloquially referred to as the "light s ...

, under the supervision of

J. A. Todd John Arthur Todd (23 August 1908 – 22 December 1994) was an English mathematician who specialised in geometry. Biography He was born in Liverpool, and went up to Trinity College, Cambridge in 1925. He did research under H.F. Baker, and in ...

. He was a professor of mathematics at the

University of East Anglia The University of East Anglia (UEA) is a public research university in Norwich, England. Established in 1963 on a campus west of the city centre, the university has four faculties and 26 schools of study. The annual income of the institution f ...

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) Living people 20th-century British mathematicians 21st-century British mathematicians Alumni of Queens' College, Cambridge Academics of the University of East Anglia