David Ginzburg

David Ginzburg is a professor of mathematics at Tel Aviv University working in number theory and automorphic forms.

David Ginzburg
Alma materTel Aviv University
Scientific career
FieldsMathematics
InstitutionsTel Aviv University
ThesisL-Functions for SO(n) × GL(k) (1988)
Doctoral advisorStephen Gelbart

Career

Ginzburg received his PhD in mathematics from Tel Aviv University in 1988 under the supervision of Stephen Gelbart.[1] He is a professor of mathematics at Tel Aviv University.[2]

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.[3] 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.[4]

Selected publications
  • Bump, Daniel; Ginzburg, David (1992). "Symmetric Square L-Functions on GL(r)". Annals of Mathematics. 136 (1): 137–205. doi:10.2307/2946548. JSTOR 2946548. MR 1173928.
  • Ginzburg, David; Rallis, Stephen; Soudry, David (1997). "A tower of theta correspondences for $G_2$". Duke Mathematical Journal. 88 (3): 537–624. doi:10.1215/S0012-7094-97-08821-9. MR 1455531.
  • Ginzburg, David; Rallis, Stephen; Soudry, David (1999). "On Explicit Lifts of Cusp Forms from GL m to Classical Groups". Annals of Mathematics. 150 (3): 807. arXiv:math/9911264. Bibcode:1999math.....11264G. doi:10.2307/121057. JSTOR 121057. MR 1740991.
  • David Ginzburg; Stephen Rallis; David Soudry (2011). The Descent Map from Automorphic Representations of GL(n) to Classical Groups. World Scientific. ISBN 978-981-4304-98-6.
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References
  1. David Ginzburg at the Mathematics Genealogy Project
  2. "Prof. David Ginzburg". Tel Aviv University. Retrieved 29 February 2020.
  3. J. Cogdell, H. Jacquet, D. Jiang, S. Kudla, (2015), eds. "Steve Rallis (1942–2012)," Journal of Number Theory, 146, 1–3
  4. 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
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