Gregg Jay Zuckerman (born 1949) is a mathematician at Yale University who discovered Zuckerman functors and translation functors, and with Anthony W. Knapp classified the irreducible tempered representations of semisimple Lie groups.

He received his Ph.D. in mathematics from Princeton University in 1975 after completing a doctoral dissertation, titled "Some character identities for semisimple Lie groups", under the supervision of Elias M. Stein.^[1]

Publications

• Knapp, Anthony W.; Zuckerman, Gregg (1976). "Classification of Irreducible Tempered Representations of Semisimple Lie Groups". Proceedings of the National Academy of Sciences of the United States of America. 73 (7): 2178–80. Bibcode:1976PNAS...73.2178K. doi:10.1073/pnas.73.7.2178. JSTOR 65732. PMC 430485. PMID 16592331.
• Knapp, Anthony W.; Zuckerman, Gregg J. (1982). "Classification of Irreducible Tempered Representations of Semisimple Groups". Annals of Mathematics. 116 (2): 389–455. doi:10.2307/2007066. JSTOR 2007066. MR 0672840.