2 papers
math.NT2026
On the Vanishing and Cuspidality of Modular Forms
Finn McGlade
We develop vanishing and cuspidality criteria for quaternionic modular forms on using a theory of scalar Fourier coefficients. By analyzing a Fourier-Jacobi…
math.RT2019
Positive level, negative level and level zero
Finn McGlade, Arun Ram, Yaping Yang
This is a survey on the combinatorics and geometry of integrable representations of quantum affine Lie algebras with a particular focus on level 0. Pictures and examples are includ…