David Soudry

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

David Soudry
Alma mater	Tel Aviv University
Scientific career
Fields	Mathematics
Institutions	Tel Aviv University Institute for Advanced Study
Thesis	The L and Epsilon Factors for Generic Representations of GSp(4,k)xGL(2,k) over a Local Non-Archimedean Field k (1983)
Doctoral advisor	Ilya Piatetski-Shapiro

Career

Soudry received his PhD in mathematics from Tel Aviv University in 1983 under the supervision of Ilya Piatetski-Shapiro.[1] From 1983 to 1984, he was a member of the Institute for Advanced Study.[2] He is a professor of mathematics at Tel Aviv University.[3]

Research

Together with Stephen Rallis and David Ginzburg, Soudry 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.[4] 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.[5]

Selected publications

• Gelbart, Stephen; Rogawski, Jonathan; Soudry, David (1997). "Endoscopy, Theta-Liftings, and Period Integrals for the Unitary Group in Three Variables". Annals of Mathematics. 145 (3): 419. doi:10.2307/2951840. JSTOR 2951840. MR 1454699.
• Jiang, Dihua; Soudry, David (2003). "The local converse theorem for SO(2n + 1) and applications". Annals of Mathematics. 157 (3): 743–806. doi:10.4007/annals.2003.157.743. ISSN 0003-486X. MR 1983781.
• Ginzburg, David; Rallis, Stephen; Soudry, David (1997). "A tower of theta correspondences for G₂". Duke Mathematical Journal. 88 (3): 537–624. doi:10.1215/S0012-7094-97-08821-9. ISSN 0012-7094. 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. doi:10.2307/121057. JSTOR 121057. MR 1740991.
• Ginzburg, David; Rallis, Stephen; Soudry, David (2011). The Descent Map from Automorphic Representations of GL(n) to Classical Groups. World Scientific. doi:10.1142/7742. ISBN 978-981-4304-98-6.

References

1. David Soudry at the Mathematics Genealogy Project
2. "David Soudry". Institute for Advanced Study. Retrieved 29 February 2020.
3. "Prof. David Soudry". Tel Aviv University. Retrieved 29 February 2020.
4. J. Cogdell, H. Jacquet, D. Jiang, S. Kudla, (2015), eds. "Steve Rallis (1942–2012)," Journal of Number Theory, 146, 1–3
5. 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

External links

• David Soudry at the Mathematics Genealogy Project