Finn McGlade

collaborators

3 papers

math.NT2026

The quaternionic Maass Spezialschar on split $SO (8)$

Jennifer Johnson-Leung, Finn McGlade, Isabella Negrini +2

The classical Maass Spezialschar is a Hecke-stable subspace of the space of holomorphic Siegel modular forms of genus two and level one cut out by certain linear relations among Fo…

math.NT2026

On the Vanishing and Cuspidality of $D_{4}$ Modular Forms

Finn McGlade

We develop vanishing and cuspidality criteria for quaternionic modular forms on $G = Spin (4, 4)$ using a theory of scalar Fourier coefficients. By analyzing a Fourier-Jacobi…

math.NT2025

Fourier Coefficients and Algebraic Cusp Forms on $U (2, n)$

Anton Hilado, Finn McGlade, Pan Yan

We establish a theory of scalar Fourier coefficients for a class of non-holomorphic, automorphic forms on the quaternionic real Lie group $U (2, n)$ . By studying the theta l…

The quaternionic Maass Spezialschar on split SO(8)

On the Vanishing and Cuspidality of D4​ Modular Forms

Fourier Coefficients and Algebraic Cusp Forms on U(2,n)

The quaternionic Maass Spezialschar on split $SO (8)$

On the Vanishing and Cuspidality of $D_{4}$ Modular Forms

Fourier Coefficients and Algebraic Cusp Forms on $U (2, n)$