Aaron Pollack

activity

20172019

most citedMultivariate Rankin-Selberg integrals on

GL_{4}

and

GU (2, 2)

4 citations · 8 across the 3 of their papers we have counts for

collaborators

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9 papers · 1 filter

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

On the residue method for period integrals

Aaron Pollack, Chen Wan, Michał Zydor

By applying the residue method for period integrals and Langlands-Shahidi's theory for residues of Eisenstein series, we study the period integrals for six spherical varieties. For…

math.NT2018

The minimal modular form on quaternionic $E_{8}$

Aaron Pollack

Suppose that $G$ is a simple reductive group over $Q$ , with an exceptional Dynkin type, and with $G (R)$ quaternionic (in the sense of Gross-Wallach). In a previou…

math.NT2018

Modular forms on $G_{2}$ and their standard $L$ -function

Aaron Pollack

The purpose of this partly expository paper is to give an introduction to modular forms on $G_{2}$ . We do this by focusing on two aspects of $G_{2}$ modular forms. First, we discuss th…

math.NT2018

A $G_{2}$ -period of a Fourier coefficient of an Eisenstein series on $E_{6}$

Aaron Pollack, Chen Wan, Michał Zydor

We calculate a $G_{2}$ -period of a Fourier coefficient of a cuspidal Eisenstein series on the split simply-connected group $E_{6}$ , and relate this period to the Ginz…

math.NT2018

The Fourier expansion of modular forms on quaternionic exceptional groups

Aaron Pollack

Suppose that $G$ is a simple adjoint reductive group over $Q$ , with an exceptional Dynkin type, and with $G (R)$ quaternionic (in the sense of Gross-Wallach). Then…

Modular forms on indefinite orthogonal groups of rank three

On the residue method for period integrals

The minimal modular form on quaternionic E8​

Modular forms on G2​ and their standard L-function

A G2​-period of a Fourier coefficient of an Eisenstein series on E6​

The Fourier expansion of modular forms on quaternionic exceptional groups

The minimal modular form on quaternionic $E_{8}$

Modular forms on $G_{2}$ and their standard $L$ -function

A $G_{2}$ -period of a Fourier coefficient of an Eisenstein series on $E_{6}$