Stephen Rallis

Stephen Rallis 2007

Stephen James Rallis (born May 17, 1942 in Bennington , † April 17, 2012 in Columbus ) was an American mathematician who dealt with the Langlands program at the intersection of representation theory, automorphic forms and number theory.

Life

Rallis studied mathematics at Harvard University with a bachelor's degree in 1964 and received his doctorate in 1968 from the Massachusetts Institute of Technology under Bertram Kostant (Lie group representations associated to symmetric spaces). As a post-doctoral student , he was at the Institute for Advanced Study from 1968 to 1970 (as in 1984 and 2001) and then at the State University of New York at Stony Brook. in Texas, at the University of Notre Dame, in Strasbourg (with Gerard Schiffmann ) and in Princeton. In 1977 he became an assistant professor at Ohio State University , an associate professor in 1979 and a professor in 1984. In 2007 he retired.

In 1990 he was invited speaker at the International Congress of Mathematicians in Kyoto (Poles of standard L functions).

In 1970 he married the astronomer Michele Kaufman.

Fonts

Books:

L-functions and the oscillator representation, Lecture notes in mathematics 1245, Springer 1987
with Stephen Gelbart , Ilja Pjatetskij-Shapiro : Explicit constructions of automorphic L-functions, Lecture notes in mathematics 1254, Springer 1987
with Gelbart, Piatetski-Shapiro: L-functions for the orthogonal groups, Memoirs AMS 1997
with David Ginzburg, David Soudry: The descent map from automorphic representations of GL (n) to classical groups, 2011

Essays:

with G. Schiffmann: Discrete spectrum of the Weil representation, Bulletin AMS, Volume 2, 1977, pp. 267-270
Langlands' functoriality and the Weil representation, Amer. J. Math., Vol. 104, 1982, pp. 469-515
On the Howe duality conjecture. Compositio Math., Vol. 51, 1984, 333-399.
with Stephen Kudla : On the Weil-Siegel formula, J. Reine Angew. Math., Vol. 387, 1988, pp. 1-68.
with Ilja Pjatetskij-Shapiro: A new way to get Euler products, J.Reine Angew. Math., Vol. 392, 1988, pp. 110-124.
with Ilja Pjatetskij-Shapiro, Gerard Schiffmann: Rankin-Selberg integrals for the group , Amer. J. Math., Vol. 114, 1992, pp. 1269-1315. ${\ displaystyle G_ {2}}$
with Stephen Kudla: A regularized Siegel-Weil formula: the first term identity, Annals of Mathematics, Volume 140, 1994, pp. 1-80.
with Hervé Jacquet : Uniqueness of linear periods, Compositio Math., Volume 387, 1996, pp. 65–123.
with David Ginzburg, David Soudry: A tower of theta correspondences for , Duke Math. J., Volume 88, 1997, pp. 537-624. ${\ displaystyle G_ {2}}$
with David Ginzburg, David Soudry: On explicit lifts of cusp forms from GL (m) to classical groups, Annals of Mathematics, Volume 150, 1999, pp. 807-866.
with Erez Lapid: On the nonnegativity of L (1/2, ) for SO (2n + 1), Annals of Mathematics, Volume 157, 2003, pp. 891-917. ${\ displaystyle \ pi}$
with Avraham Aizenbud, Dmitry Gourevitch, Gerard Schiffmann: Multiplicity one theorems. Annals of Mathematics, Volume 172, 2010, pp. 1407-1434

literature

James Cogdell, Dihua Jiang (Ed.): Remembering Stephen Rallis, Notices of the AMS, 2013, No. 4, online
J. Cogdell, H. Jacquet, D. Jiang, S. Kudla (Eds.): Steve Rallis (1942-2012), Journal of Number Theory, Volume 146, 2015, pp. 1-3

Web links

John J. O'Connor, Edmund F. Robertson : Stephen Rallis. In: MacTutor History of Mathematics archive .

personal data
SURNAME	Rallis, Stephen
ALTERNATIVE NAMES	Rallis, Stephen James (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	May 17, 1942
PLACE OF BIRTH	Bennington
DATE OF DEATH	April 17, 2012
Place of death	Columbus