3 papers
math.NT2025
Hermitian modular forms and algebraic modular forms on
Tomoyoshi Ibukiyama, Brandon Williams
We state conjectures that relate Hermitian modular forms of degree two and algebraic modular forms for the compact group . We provide evidence for these conjectures in the f…
math.AG2025
Quasi-modular forms for the orthogonal group and Gromov-Witten theory of Enriques surfaces
Georg Oberdieck, Brandon Williams
We develop the theory of almost-holomorphic and quasimodular forms for orthogonal groups of a lattice of signature through orthogonal lowering and raising operators. The in…
math.AG2024
K3 Surfaces and Orthogonal Modular Forms
Adrian Clingher, Andreas Malmendier, Brandon Williams
We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group and of Picard r…