2 papers
math.NT2026
Singular automorphic products and BKM algebras
Kaiwen Sun, Haowu Wang, Brandon Williams
After proving the moonshine conjecture, Borcherds asked in 1995 whether there exist only finitely many holomorphic automorphic products of singular weight. We show that, up to conj…
math.NT2023
Hyperbolization of Affine Lie Algebras
Kaiwen Sun, Haowu Wang, Brandon Williams
In 1983, Feingold and Frenkel discovered a relation between Siegel modular forms of genus two and a rank-three hyperbolic Kac--Moody algebra extending the affine Lie algebra of typ…