3 papers
math.NT2026
Magnetic orthogonal modular forms
Claudia Alfes, Paul Kiefer
In this note we show that certain meromorphic orthogonal modular forms are magnetic, i.e.\ their Fourier coefficients satisfy special divisibility criteria. These meromorphic ortho…
math.AG2026
Finite generation of Noether-Lefschetz divisors and the slope of the moduli space of cubic fourfolds
Ignacio Barros, Shi He, Paul Kiefer
We study divisors on moduli spaces of cubic fourfolds with simple singularities and of quasi-polarized K3 surfaces of degree . For the moduli space of cubic fourfolds, we intro…
math.NT2025
Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature
Paul Kiefer
We generalize the notions of locally and polar harmonic Maass forms to general orthogonal groups of signature with singularities along real analytic and algebraic cycles.…