Nolan Wallach


Nolan Russell Wallach is a mathematician known for work in the representation theory of reductive algebraic groups. He is the author of the 2-volume treatise Real Reductive Groups.

Education and career

Wallach did his undergraduate studies at the University of Maryland, graduating in 1962. He earned his Ph.D. from Washington University in St. Louis in 1966, under the supervision of Jun-Ichi Hano.
He became an instructor and then lecturer at the University of California, Berkeley. At Rutgers University he became in 1969 an assistant professor, in 1970 an associate professor, in 1972 a full professor, and in 1986 the Hermann Weyl Professor of Mathematics. In 1989 he became a professor at the University of California, San Diego, where he is now a professor emeritus. From 1997 to 2003 he was an associate editor of the Annals of Mathematics and from 1996 to 1998 an associate editor of the Bulletin of the American Mathematical Society.
Wallach was a Sloan Fellow from 1972 to 1974. In 1978 he was an Invited Speaker with talk The spectrum of compact quotients of semisimple Lie groups at the International Congress of Mathematicians in Helsinki. He was elected in 2004 a Fellow of the American Academy of Arts and Sciences and in 2012 a Fellow of the American Mathematical Society. His doctoral students include AMS Fellow Alvany Rocha. He has supervised more than 18 Ph.D. theses. Besides representation theory, Wallach has also published more than 150 papers in the fields of algebraic geometry, combinatorics, differential equations, harmonic analysis, number theory, quantum information theory, Riemannian geometry, and ring theory.

Selected publications

Articles