James Alexander Green

Infobox Scientist
box_width = 26em
name = Sandy Green


image_size = 200 px
caption =
birth_date = Birth year and age|1926
birth_place = Rochester, New York, USA
death_date =
death_place =
residence = Oxford, England
citizenship = British
nationality = Anglo-American
ethnicity =
fields = Mathematics
workplaces = Bletchley Park
alma_mater = St John's College, Cambridge
doctoral_advisor = Philip Hall
academic_advisors =
doctoral_students =
notable_students =
known_for = Work on representation theory
author_abbrev_bot =
author_abbrev_zoo =
influences =
influenced =
awards = de Morgan Medal (2001)
religion =


footnotes =

James Alexander (Sandy) Green (b.1926) is a mathematician and retired Professor at the Mathematics Institute at the University of Warwick, who is still active in the field of representation theory.

Early life

James Alexander Green was born in 1926 in Rochester, New York, but moved to Toronto with his emigrant Scottish parents at a very early age. The family returned to Britain in 1934 when his father, Frederick C. Green, took up the Drapers Professorship of French at the University of Cambridge.

Education

Green was educated at the Perse School, Cambridge, his first degree was gained at the University of St Andrews during the Second World War.

He gained his Ph.D. at St John's College, Cambridge in 1951, under the supervision of Philip Hall.

Career

WWII

Towards the end of the war he was assigned to work at Bletchley Park, where he assisted in the Enigma project.

Academic work

His first lecturing post was at the University of Manchester. In 1965 he moved to the University of Sussex, and then in 1966 to Warwick University.

He has spent several periods as a visiting academic in the United States, beginning with a year at the Institute of Advanced Study in Princeton in 1960-61, as well as similar visits to universities in France, Germany and Portugal.

Work in mathematics

Green found all the representations of general linear groups over finite fields (Green 1955) and invented the Green correspondence in modular representation theory. Both Green functions in the representation theory of groups of Lie type and Green's relations in the area of semigroups are named after him. His most recent publication (2007) is a revised and augmented edition of his 1980 work, "Polynomial Representations of GL_n".

Personal life

Green met his wife, Margaret Green during his time at Bletchley Park, the couple married in 1950, and have two daughters and a son. He now lives in Oxford.

Honours

He was elected to the Royal Society in 1987 and was awarded the de Morgan Medal in 2001. [ [http://www.lms.ac.uk/activities/prizes_com/citations01/green.html de Morgan medal citation] lms.ac.uk]

Bibliography

*(1955) [http://links.jstor.org/sici?sici=0002-9947%28195511%2980%3A2%3C402%3ATCOTFG%3E2.0.CO%3B2-F "The characters of the finite general linear group"] , Trans. A. M. S. 80 402-447.
*(2007) [http://www.springer.com/west/home/new+%26+forthcoming+titles+%28default%29?SGWID=4-40356-22-173696918-0 "Polynomial Representations of GL_n"] , Lecture Notes in Mathematics, Springer, Vol. 830. 2nd edition with an "Appendix on Schensted Correspondence and Littelmann Paths", K. Erdmann, J. A. Green and M. Shocker

References

External links

*MathGenealogy|id=27130
* [http://www2.warwick.ac.uk/fac/sci/maths/people/staff/Sandy_Green/ Warwick page] maths.warwick.ac.uk