Eyal Kaplan
Contact Info
Building 216 (Math)
Department of Mathematics
Bar Ilan University
Ramat Gan, 5290002
Email: kaplaney at gmail.com
I am an Assistant Professor at Bar
Ilan University. My
current research interests include Automorphic Forms, Representation Theory,
Metaplectic Groups and Rankin-Selberg Integrals.
Publications
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D. Gourevitch and E. Kaplan, Multiplicity one
theorems for the generalized doubling method (with an appendix by A. Aizenbud
and D. Gourevitch).
To appear in
the J. Eur. Math. Soc., preprint 1909.08382.
*
M. Adrian and E. Kaplan, On the Langlands
parameter of a simple supercuspidal representation: orthogonal groups, Israel
J. Math., 246 (2021), 459-485.
*
Y. Cai, S. Friedberg, D. Ginzburg, and E.
Kaplan, Doubling constructions and tensor product L-functions: the linear case,
Invent. Math., 217 (2019), no. 3, 985-1068.
*
M. Adrian and E. Kaplan, The Langlands
parameter of a simple supercuspidal representation: Symplectic groups,
Ramanujan J., 50 (2019), 589-619.
*
J. Frahm and E. Kaplan, A Godement-Jacquet type
integral and the metaplectic Shalika model, Amer. J. Math., 141 (2019), no. 1,
219-282.
*
E. Kaplan, The characterization of
theta-distinguished representations of GL(n), Israel J. Math., 222 (2017),
551-598.
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E. Kaplan and S. Yamana, Twisted symmetric
square L-functions and invariant trilinear forms, Math. Z., 285 (2017), 739-793.
*
E. Kaplan, The double cover of odd general spin
groups, small representations and applications, J. Inst. Math. Jussieu, 16
(2017), no. 3, 609-671.
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E. Kaplan, Theta distinguished representations,
inflation and the symmetric square L-function, Math. Z. 283 (2016), no. 3,
909-936.
*
E. Kaplan, Representations distinguished by
pairs of exceptional representations and a conjecture of Savin, Internat. Math.
Res. Notices 2016 (2016), no. 2, 604-643.
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E. Kaplan, The Theta Period of a Cuspidal
Automorphic Representation of GL(n), Internat. Math. Res. Notices 2015 (2015)
no. 8, 2168-2209.
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E. Kaplan, Complementary results on the
Rankin-Selberg gamma factors of classical groups, J. Number Theory 146 (2015),
390-447 (Special Issue In Honor of Steve Rallis).
*
E. Kaplan, On the gcd of local Rankin-Selberg
integrals for even orthogonal groups, Compositio Math. 149 (2013), 587-636.
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E. Kaplan, Multiplicativity of the gamma
factors of Rankin-Selberg integrals for SO(2l)xGL(n), Manuscripta Math. 142
(2013), 307-346.
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E. Kaplan, The unramified computation of
Rankin-Selberg integrals for SO(2l)xGL(n), Israel J. Math. 191 (2012), no. 1,
137-184.
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E. Kaplan, An invariant theory approach for the
unramified computation of Rankin-Selberg integrals for quasi-split
SO(2n)xGL(n), J. Number Theory 130 (2010), 1801-1817.
*
E. Kaplan, M. Naor and O. Reingold,
Derandomized Constructions of k-Wise (Almost) Independent Permutations,
Algorithmica 55 (2009), no. 1, 113-133, preliminary version RANDOM 2005.
Preprints
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E. Kaplan, Doubling Constructions: the complete
L-function for coverings of the symplectic group. 2001.08186
*
E. Kaplan, Doubling constructions and tensor
product L-functions: coverings of the symplectic group. 1902.00880
*
Y. Cai, S. Friedberg, and E. Kaplan Doubling
constructions: local and global theory, with an application to global functoriality
for non-generic cuspidal representations.1802.02637
*
E. Kaplan, J. F. Lau, and B. Liu, Local descent
to quasi-split even general spin groups.
My PhD Thesis (prepared under the
supervision of Professor David Soudry at Tel Aviv University, 2013).
