Geoffrey Colin Shephard
Encyclopedia
Geoffrey Colin Shephard is a mathematician who works on convex geometry and reflection groups. He asked Shephard's problem
and proved the Shephard–Todd theorem and classified the complex reflection group
s.
Shephard earned his Ph.D. in 1954 from Cambridge University, under the supervision of J. A. Todd
. He was a professor of mathematics at the University of East Anglia
until his retirement.
Shephard's problem
In mathematics, Shephard's problem, is the following geometrical question asked by : if K and L are centrally symmetric convex bodies in n-dimensional Euclidean space such that whenever K and L are projected onto a hyperplane, the volume of the projection of K is smaller than the volume of the...
and proved the Shephard–Todd theorem and classified the complex reflection group
Complex reflection group
In mathematics, a complex reflection group is a group acting on a finite-dimensional complex vector space, that is generated by complex reflections: non-trivial elements that fix a complex hyperplane in space pointwise...
s.
Shephard earned his Ph.D. in 1954 from Cambridge University, under the supervision of J. A. Todd
J. A. Todd
John Arthur Todd FRS was a British geometer. He was born in Liverpool, and went to Trinity College of the University of Cambridge in 1925. He did research under H.F. Baker, and in 1931 took a position at the University of Manchester. He became a lecturer at Cambridge in 1937...
. He was a professor of mathematics at the University of East Anglia
University of East Anglia
The University of East Anglia is a public research university based in Norwich, United Kingdom. It was established in 1963, and is a founder-member of the 1994 Group of research-intensive universities.-History:...
until his retirement.