4 citations · 8 across the 4 of their papers we have counts for
11 papers
On weak Jacobi forms of rank two
Haowu Wang, Brandon Williams
We study a ring of weak Jacobi forms indexed by integral lattices of rank two. We find an explicit finite set of generators of this ring and give a dimension formula for weak Jacob…
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…
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…
Two graded rings of Hermitian modular forms
Brandon Williams
We give generators and relations for the graded rings of Hermitian modular forms of degree two over the rings of integers in and . I…
Graded rings of paramodular forms of levels and
Brandon Williams
We compute generators and relations for the graded rings of paramodular forms of degree two and levels 5 and 7. The generators are expressed as quotients of Gritsenko lifts and Bor…