Roger Wolcott Richardson

Roger Wolcott Richardson (30 May 1930 – 15 June 1993) was a mathematician noted for his work in representation theory and geometry.

Richardson was born in Baton Rouge, Louisiana, and educated at Louisiana State University, Harvard University and University of Michigan, Ann Arbor where he obtained a Ph.D. in 1958 under the supervision of Hans Samelson. After a postdoc appointment at Princeton University, he accepted a faculty position at the University of Washington in Seattle. He emigrated to the United Kingdom in 1970, taking up a chair at Durham University. In 1978 he moved to the Australian National University in Canberra, where he stayed as faculty until his death.

Richardson's best known result states that if P is a parabolic subgroup of a reductive group, then P has a dense orbit on its nilradical, i.e., one whose closure is the whole space.[1] This orbit is now universally known as the Richardson orbit.[2]

He was elected a Fellow of the Australian Academy of Science in 1990.[3]

In 1997 the Cambridge University Press published Algebraic Groups and Lie Groups: A Volume of Papers in Honour of the Late R. W. Richardson, which was organized by a committee of 5 mathematicians selected by the Australian Mathematical Society. The volume's preface has several paragraphs about Richardson's research.[4]

• Nijenhuis, Albert; Richardson Jr., Roger W. (1966). "Cohomology and deformations in graded Lie algebras". Bulletin of the American Mathematical Society. 72 (1): 1–29. doi:10.1090/s0002-9904-1966-11401-5. MR 0195995.

• Prehomogeneous vector space

• Roger Wolcott Richardson at the Mathematics Genealogy Project
• Mathematical Reviews analysis