Institutions UCSD | Doctoral advisor Ramesh A. Gangolli Academic advisor Ramesh A. Gangolli | |
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Institution University of California, San Diego | ||
Thomas Jones Enright is an American mathematician known for his work in the algebraic theory of representations of real reductive Lie groups.
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Biography
Thomas J. 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 a year after that in the Institute for Advanced Study at Princeton. N. J. He was chair of the mathematics department of University of California at San Diego from 1986 to 1990.
Contributions
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 is known for Enright–Varadarajan modules, Enright resolutions, and the Enright completion functor, which has had a lasting influence in algebra.