__Eyal Kaplan__

Contact Info

Department of Mathematics

Ohio State University

231 W. 18th Ave.

Columbus, OH 43210

Tel: 614-292-5749

Email: kaplaney at gmail.com

I am a Zassenhaus Assistant Professor at the Ohio State University. My current research interests include

Automorphic Forms, Representation Theory, Metaplectic Groups and Rankin-Selberg Integrals.

Publications

E. Kaplan and S. Yamana, Twisted symmetric square L-functions for GL(n) and invariant trilinear forms, to appear in Math. Z.

E. Kaplan, Theta distinguished representations, inflation and the symmetric square L-function, to appear in Math. Z.

E. Kaplan, The double cover of odd general spin groups, small representations and applications, to appear in J. Inst. Math. Jussieu.

E. Kaplan, Representations distinguished by pairs of exceptional representations and a conjecture of Savin, to appear in Internat. Math. Res. Notices.

E. Kaplan, The Theta Period of a Cuspidal Automorphic Representation of GL(n), Internat. Math. Res. Notices. 2015 (2015) no. 8, 2168-2209.

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.

E. Kaplan, Multiplicativity of the gamma factors of Rankin-Selberg integrals for SO(2l)xGL(n), Manuscripta Math. 142 (2013), 307-346.

E. Kaplan, The unramified computation of Rankin-Selberg integrals for SO(2l)xGL(n), Israel J. Math. 191 (2012), no. 1, 137-184.

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.

Submitted

The characterization of theta-distinguished representations of GL(n).

My PhD Thesis (prepared under the supervision of Professor David Soudry at Tel Aviv University, 2013).