David Ginzburg (
Hebrew
Hebrew (; ''ʿÎbrit'') is a Northwest Semitic languages, Northwest Semitic language within the Afroasiatic languages, Afroasiatic language family. A regional dialect of the Canaanite languages, it was natively spoken by the Israelites and ...
: דוד גינזבורג) is a professor of mathematics at
Tel Aviv University
Tel Aviv University (TAU) is a Public university, public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Located in northwest Tel Aviv, the university is the center of teaching and ...
working in
number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
and
automorphic forms
In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the group action (mathematics), action of a discrete s ...
.
Career
Ginzburg received his PhD in mathematics from Tel Aviv University in 1988 under the supervision of
Stephen Gelbart
Stephen Samuel Gelbart (; born June 12, 1946) is an American-Israeli mathematician who holds the Nicki and J. Ira Harris Professorial Chair in mathematics at the Weizmann Institute of Science in Israel. .
He is a professor of mathematics at Tel Aviv University.
Research
Together with
Stephen Rallis
Stephen James Rallis (May 17, 1942 – April 17, 2012) was an American mathematician who worked on group representations, automorphic forms, the Siegel–Weil formula, and Langlands program, Langlands L-functions.
Career
Rallis received a B.A. in ...
and
David Soudry, Ginzburg wrote a series of papers about automorphic descent culminating in their book "The descent map from automorphic representations of GL(''n'') to classical groups". Their automorphic descent method constructs an explicit inverse map to the (standard)
Langlands functorial lift and has had major applications to the analysis of functoriality. Also, using the "Rallis tower property" from Rallis's 1984 paper on the
Howe duality conjecture, they studied global exceptional correspondences and found new examples of functorial lifts.
[W.T. Gan, Y. Qiu, and S. Takeda (2014) "The Regularized Siegel–Weil Formula (The Second Term Identity) and the Rallis Inner Product Formula," Inventiones Math. 198, 739–831]
Selected publications
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References
External links
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{{DEFAULTSORT:Ginzburg, David
20th-century Israeli mathematicians
21st-century Israeli mathematicians
Number theorists
Year of birth missing (living people)
Tel Aviv University alumni
Academic staff of Tel Aviv University
Living people