Constructs holomorphic differential forms of many degrees including the minimal one on orthogonal modular varieties for even lattices of signature (2,n) with n≡1,3 mod 8, discriminant -2, n≥25, using the Arthur multiplicity formula; first non-top-degree examples.
On the Langlands program: endoscopy and beyond
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Holomorphic differential forms on some orthogonal modular varieties
Constructs holomorphic differential forms of many degrees including the minimal one on orthogonal modular varieties for even lattices of signature (2,n) with n≡1,3 mod 8, discriminant -2, n≥25, using the Arthur multiplicity formula; first non-top-degree examples.