Aaron Pollack

activity

20222026

collaborators

5 papers

math.NT2026

Automatic convergence for holomorphic modular forms

Aaron Pollack

We prove an automatic convergence theorem for holomorphic modular forms on tube domains. The argument works in some generality, and covers in particular the case of orthogonal grou…

math.NT2024

Automatic convergence for Siegel modular forms

Aaron Pollack

Bruinier and Raum, building on work of Ibukiyama-Poor-Yuen, have studied a notion of ``formal Siegel modular forms". These objects are formal sums that have the symmetry properties…

math.NT2024

Automatic convergence and arithmeticity of modular forms on exceptional groups

Aaron Pollack

We prove that the space of cuspidal quaternionic modular forms on the groups of type $F_{4}$ and $E_{n}$ have a purely algebraic characterization. This characterization involves Fourie…

math.NT2024

Computation of Fourier coefficients of automorphic forms of type $G_{2}$

Aaron Pollack

In a recent work, we found formulas for the Fourier coefficients of automorphic forms of type $G_{2}$ : holomorphic Siegel modular forms on $Sp_{6}$ that are theta lifts from $…

math.NT2022

Automorphic Forms on Unitary Groups

Ellen Eischen

This manuscript provides a more detailed treatment of the material from my lecture series at the 2022 Arizona Winter School on Automorphic Forms Beyond $G L_{2}$ . The main focus of th…

Automatic convergence for holomorphic modular forms

Automatic convergence for Siegel modular forms

Automatic convergence and arithmeticity of modular forms on exceptional groups

Computation of Fourier coefficients of automorphic forms of type G2​

Automorphic Forms on Unitary Groups

Computation of Fourier coefficients of automorphic forms of type $G_{2}$