18 citations · 78 across the 34 of their papers we have counts for
8 papers · 1 filter
Simple lattices and free algebras of modular forms
Haowu Wang, Brandon Williams
We study the algebras of modular forms on type IV symmetric domains for simple lattices; that is, lattices for which every Heegner divisor occurs as the divisor of a Borcherds prod…
Projective spaces as orthogonal modular varieties
Haowu Wang, Brandon Williams
We construct reflection groups acting on symmetric domains of Cartan type IV, for which the graded algebras of modular forms are freely generated by forms of…
Weyl invariant Jacobi forms: a new approach
Haowu Wang
The weak Jacobi forms of integral weight and integral index associated to an even positive definite lattice form a bigraded algebra. In this paper we prove a criterion for this typ…
Borcherds products of half-integral weight
Haowu Wang, Brandon Williams
We give a necessary and sufficient criterion for the existence of Borcherds products of half-integral weight associated to even lattices that split two hyperbolic planes. In partic…
Theta blocks related to root systems
Moritz Dittmann, Haowu Wang
Gritsenko, Skoruppa and Zagier associated to a root system a theta block , which is a Jacobi form of lattice index. We classify the theta blocks of $…
On some free algebras of orthogonal modular forms II
Haowu Wang
In this paper we construct 16 free algebras of modular forms on symmetric domains of type IV for some reflection groups related to the eight lattices , , ,…
The classification of free algebras of orthogonal modular forms
Haowu Wang
We prove a necessary and sufficient condition for the graded algebra of automorphic forms on a symmetric domain of type IV to be free. From the necessary condition, we derive a cla…
On some free algebras of orthogonal modular forms
Haowu Wang, Brandon Williams
For 25 orthogonal groups of signature related to the root lattices , , , , , , , , , , , , , , $D_8…