Aaron Pollack
Assistant Professor
Department of Mathematics
Duke University
Email: apollack at math dot duke dot edu
My primary research interest is algebraic number theory. I am especially interested in automorphic forms on exceptional groups and the questions surrounding the behavior at integers of certain automorphic Lfunctions.
Papers and Preprints
(The versions below differ slightly from their published counterparts)

Modular forms on indefinite orthogonal groups of rank three, preprint

A quaternionic SaitoKurokawa lift and cusp forms on G_{2}, submitted

On the residue method for period integrals (with Chen Wan and Michal Zydor), submitted

The minimal modular form on quaternionic E_{8}, submitted

Modular forms on G_{2} and their standard Lfunction, Proceedings of the Simons Symposium "Relative Trace Formulas" (2018), to appear

A G_{2}period of a Fourier coefficient of an Eisenstein series on E_{6} (with Chen Wan and Michal Zydor), Israel Journal of Mathematics, to appear

The Fourier expansion of modular forms on quaternionic exceptional groups, Duke Mathematical Journal, to appear

Multivariate RankinSelberg integrals on GL_{4} and GU(2,2) (with Shrenik Shah), Canadian Mathematical Bulletin, Vol. 61 (4), 2018, 822835

A multivariate integral representation on GL_{2} x GSp_{4} inspired by the pullback formula (with Shrenik Shah), Transactions of the American Mathematical Society, to appear

Lifting laws and arithmetic invariant theory, Cambridge Journal of Mathematics 6, No. 4 (2018), 347449

Unramified GodementJacquet theory for the spin similitude group, Journal of the Ramanujan Mathematical Society 33, No.3 (2018) 249282

The Spin Lfunction on GSp_{6} for Siegel modular forms, Compositio Mathematica 153
(2017), no. 7, 1391–1432

The Spin Lfunction on GSp_{6} via a nonunique model (with Shrenik Shah), American Journal of Mathematics 140 (2018), no. 3, 753788

On the RankinSelberg integral of Kohnen and Skoruppa (with Shrenik Shah), Mathematical Research Letters 24 (2017), no. 1, 173222
Teaching
Spring 2020: Math 222 (advanced multivariable calculus)
Fall 2019: Math 305S (number theory)
Spring 2019: Math 690 (topics in algebraic number theory)
Fall 2018: Math 212 (multivariable calculus)