David Ginzburg
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David Ginzburg is a professor of mathematics at
Tel Aviv University Tel Aviv University (TAU) ( he, אוּנִיבֶרְסִיטַת תֵּל אָבִיב, ''Universitat Tel Aviv'') is a public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Locate ...
working in
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
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 action of a discrete subgroup \Gamma \subset G o ...
.


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 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

* {{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