Thomas Jones Enright (August 15, 1947 – January 27, 2019) was an American mathematician known for his work in the algebraic theory of representations of real reductive Lie groups.
Enright received a B.S. from Harvard University in 1969 and a Ph.D. in 1973 from the University of Washington under the direction of Ramesh A. Gangolli. From 1973 to 1975 he was the Hedrick Assistant Professor in UCLA working with Veeravalli S. Varadarajan, and spent the 1976-1977 year after in the Institute for Advanced Study at Princeton, N. J. before starting at University of California at San Diego in 1977. He was chair of the mathematics department of UCSD from 1986 to 1990. In 2010 he retired due to symptoms of Parkinson's disease.
In the mid-1970s, Enright introduced new methods that led him to an algebraic way of looking at discrete series (which were fundamental representations constructed by Harish-Chandra in the early 1960s), and to an algebraic proof of the Blattner multiplicity formula.
He was known for EnrightâÂÂVaradarajan modules, Enright resolutions, and the Enright completion functor, which has had a lasting influence in algebra.