Aaron Pollack

activity

20142023

most citedThe Fourier expansion of modular forms on quaternionic exceptional groups

12 citations · 41 across the 17 of their papers we have counts for

collaborators

20 papers

math.NT2023

Exceptional Siegel-Weil theorems for compact $Spin_{8}$

Aaron Pollack

Let $E$ be a cubic étale extension of the rational numbers which is totally real, i.e., $E \otimes R ≃ R \times R \times R$ . There is an al…

math.NT2022

Exceptional theta functions and arithmeticity of modular forms on $G_{2}$

Aaron Pollack

Quaternionic modular forms on the split exceptional group $G_{2} = G_{2}^{s}$ were defined by Gan-Gross-Savin. A remarkable property of these automorphic functions is that they have a ro…

math.NT2022

Modular forms of half-integral weight on exceptional groups

Spencer Leslie, Aaron Pollack

We define a notion of modular forms of half-integral weight on the quaternionic exceptional groups. We prove that they have a well-behaved notion of Fourier coefficients, which are…

math.NT2021

The completed standard $L$ -function of modular forms on $G_{2}$

Fatma Çiçek, Giuliana Davidoff, Sarah Dijols +3

The goal of this paper is to provide a complete and refined study of the standard $L$ -functions $L (π, Std, s)$ for certain non-generic cuspidal automorphic representat…

math.NT2019

Modular forms on indefinite orthogonal groups of rank three

Aaron Pollack

We develop a theory of modular forms on the groups $SO (3, n + 1)$ , $n \geq 3$ . This is very similar to, but simpler, than the notion of modular forms on quaternionic exceptio…

math.NT2019★ 3 cited

A quaternionic Saito-Kurokawa lift and cusp forms on $G_{2}$

Aaron Pollack

We consider a special theta lift $θ (f)$ from cuspidal Siegel modular forms $f$ on $Sp_{4}$ to "modular forms" $θ (f)$ on $SO (4, 4)$ . This lift can be considered an an…

Exceptional Siegel-Weil theorems for compact Spin8​

Exceptional theta functions and arithmeticity of modular forms on G2​

Modular forms of half-integral weight on exceptional groups

The completed standard L-function of modular forms on G2​

Modular forms on indefinite orthogonal groups of rank three

A quaternionic Saito-Kurokawa lift and cusp forms on G2​

Exceptional Siegel-Weil theorems for compact $Spin_{8}$

Exceptional theta functions and arithmeticity of modular forms on $G_{2}$

The completed standard $L$ -function of modular forms on $G_{2}$

A quaternionic Saito-Kurokawa lift and cusp forms on $G_{2}$