Aaron Pollack

collaborators

4 papers

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.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…

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​

Exceptional Siegel-Weil theorems for compact Spin8​

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

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