Haowu Wang

collaborators

3 papers

math.NT2023

On the classification of reflective modular forms

Haowu Wang

A modular form on an even lattice $M$ of signature $(l, 2)$ is called reflective if it vanishes only on quadratic divisors orthogonal to roots of $M$ . In this paper we show that eve…

math.NT2023

$2$ -reflective lattices of signature $(n, 2)$ with $n \geq 8$

Haowu Wang

An even lattice $M$ of signature $(n, 2)$ is called $2$ -reflective if there is a non-constant modular form for the orthogonal group of $M$ which vanishes only on quadratic divisors…

math.NT2022

Mathieu moonshine and Borcherds products

Haowu Wang, Brandon Williams

The twisted elliptic genera of a $K 3$ surface associated with the conjugacy classes of the Mathieu group $M_{24}$ are known to be weak Jacobi forms of weight $0$ . In 2010, Cheng co…

On the classification of reflective modular forms

2-reflective lattices of signature (n,2) with n≥8

Mathieu moonshine and Borcherds products

$2$ -reflective lattices of signature $(n, 2)$ with $n \geq 8$