Nolan Russell Wallach

Nolan Russell Wallach (* 1940 ) is an American mathematician who studies Lie groups , representation theory, mathematical physics (including quantum computer science ) and differential geometry .

life and work

Wallach studied at the University of Maryland with a bachelor's degree in 1962 and at Washington University with a master's degree in 1963 and a doctorate from Jun-Ichi Hano (A classification of real simple Lie algebras). He was then an instructor and later a lecturer at the University of California, Berkeley . In 1969 he became assistant professor, 1970 associate professor and 1972 professor at Rutgers University , where he became Hermann Weyl professor in 1986. In 1989 he became Professor of Mathematics at the University of California, San Diego .

He wrote a two-volume monograph on real reductive algebraic groups and their theory of representation.

In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( The spectrum of compact quotients of semisimple Lie groups ).

From 1972 to 1974 he was a Sloan Research Fellow . In 2004 he became a Fellow of the American Academy of Arts and Sciences . In 1989 he received an honorary professorship at the University of Córdoba in Argentina. He is a fellow of the American Mathematical Society.

From 1997 to 2003 he was Associate Editor of the Annals of Mathematics and 1996 to 1998 of the Bulletin of the American Mathematical Society. From 2001 he was editor of Mathematics: Theory and Applications at Birkhäuser. From 1998 to 2001 he served on the Council of the American Mathematical Society .

Alvany Rocha-Caridi is one of his PhD students .

Fonts

• with M. do Carmo : Minimal immersions of spheres into spheres, Annals of Mathematics, Volume 93, 1971, pp. 43-62.
• Compact homogeneous Riemannian manifolds with strictly positive curvature, Annals of Mathematics, Volume 96, 1972, pp. 277-295.
• Harmonic analysis on homogeneous spaces, New York: Marcel Dekker 1973
• with D. DeGeorge: Limit formulas for multiplicities in L2 (G \ G), Annals of Mathematics, Volume 107, 1978, pp. 133-150.
• with Armand Borel : Continuous cohomology, discrete subgroups and representations of reductive groups, Annals of Mathematical Studies 94, 1980, American Mathematical Society 2000
• with Roe Goodman: Representations and invariants of the classical groups, Cambridge University Press 1998
• Symplectic geometry and Fourier analysis, Brookline: Math. Science Press 1977
• with A. Rocha-Caridi: Characters of irreducible representations of the Lie algebra of vector fields on the circle, Invent. Math., Vol. 72, 1983, pp. 57-75
• with A. Rocha-Caridi: Characters of irreducible representations of the Virasoro-Algebra, Mathematische Zeitschrift, Volume 185, 1984, pp. 1-21
• with A. Rocha-Caridi: Highest weight modules over graded Lie algebras: resolutions, filtrations and character formulas, Transactions of the AMS, Volume 277, 1983, pp. 133–162
• with T. Enright, R. Howe : A classification of unitary highest weight modules, in: Representation theory of reductive groups (Park City, Utah 1982), Progress in Mathematics 40, Birkhäuser 1983, pp. 97-143
• Real Reductive Groups, 2 volumes, Academic Press 1988, 1992
• with Roe Goodman: Classical and quantum mechanical systems of Toda lattice type, 3 parts, Comm. Math. Phys., Vol. 83, 1982, pp. 355-386, Vol. 94, 1984, pp. 177-217, Vol. 105, 1986, pp. 473-509
• with Roe Goodman: Symmetry, representations, and invariants, Graduate Texts in Mathematics, Springer 2009
• Quantum computing and entanglement for mathematicians, in: Representation theory and complex analysis, pp. 345–376, Lecture Notes in Math. No. 1931, Springer 2008

literature

• Roger Howe, Markus Hunziker, Jeb F. Willenbring (eds.): Symmetry: Representation theory and its applications. In Honor of Nolan R. Wallach, Birkhäuser 2014 (with list of publications)

Web links

• Homepage

Individual evidence

1. ↑ Nolan Russell Wallach in the Mathematics Genealogy Project (English)