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20212026
most citedIntegral models of moduli spaces of shtukas with deep Bruhat-Tits level structures

2 citations · 6 across the 7 of their papers we have counts for

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math.NT2026

A higher Gross-Zagier type formula for moduli of shtukas at deeper level

Patrick Bieker

We generalize the function field analogue analogue of the Gross-Zagier and Waldspurger formulae due to Yun and Zhang relating the (higher) derivative of an automorphic (base change…

math.NT2024

A converse theorem for Borcherds products in signature

Patrick Bieker, Paul Kiefer

We show that a modular unit on two copies of the upper half-plane is a Borcherds product if and only if its boundary divisor is a special boundary divisor. Therefore, we define a s…

math.NT2021★ 2 cited

Invariants for the Weil representation and Modular Units for Orthogonal Groups of Signature (2,2)

Patrick Bieker

We show that the space of invariants for the Weil representation for discriminant groups which contain self-dual isotropic subgroups is spanned by the characteristic functions of t…