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

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Showing 2019Show all

3 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★ 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…

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…

Modular forms on indefinite orthogonal groups of rank three

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

On the residue method for period integrals

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