18 citations · 78 across the 34 of their papers we have counts for
7 papers · 1 filter
Modular forms with poles on hyperplane arrangements
Haowu Wang, Brandon Williams
We study algebras of meromorphic modular forms whose poles lie on Heegner divisors for orthogonal and unitary groups associated to root lattices. We give a uniform construction of…
Conway invariant Jacobi forms on the Leech lattice
Kaiwen Sun, Haowu Wang
In this paper we study Jacobi forms associated with the Leech lattice which are invariant under the Conway group . We determine and construct generators of modul…
Siegel modular forms of degree two and level five
Haowu Wang, Brandon Williams
We construct a ring of meromorphic Siegel modular forms of degree 2 and level 5, with singularities supported on an arrangement of Humbert surfaces, which is generated by four sing…
Weyl invariant Jacobi forms and -strings
Kaiwen Sun, Haowu Wang
In 1992 Wirthmüller showed that for any irreducible root system not of type the ring of weak Jacobi forms invariant under Weyl group is a polynomial algebra. However, it has…
Graded rings of Hermitian modular forms with singularities
Haowu Wang, Brandon Williams
We study graded rings of meromorphic Hermitian modular forms of degree two whose poles are supported on an arrangement of Heegner divisors. For the group $\mathrm{SU}_{2,2}(\mathca…
Free algebras of modular forms on ball quotients
Haowu Wang, Brandon Williams
In this paper we study algebras of modular forms on unitary groups of signature . We give a necessary and sufficient condition for an algebra of unitary modular forms to be…
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…