Michael Lipnowski

most citedRigid meromorphic cocycles for orthogonal groups

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math.NT2023★ 1 cited

Rigid meromorphic cocycles for orthogonal groups

Henri Darmon, Lennart Gehrmann, Michael Lipnowski

Rigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a $p$ -adic analogue of Borcherds' singu…

math.NT2016

Detecting large simple rational Hecke modules for $Γ_{0} (N)$ via congruences

Michael Lipnowski, George J. Schaeffer

We describe a novel method for bounding the dimension $d$ of the largest simple Hecke submodule of $S_{2} (Γ_{0} (N); Q)$ from below. Such bounds are of interest because of their…

math.NT2016

On Bhargava's heuristics for $GL_{2} (F_{p})$ -number fields and the number of elliptic curves of bounded conductor

Michael Lipnowski

We propose a new model for counting $GL_{2} (F_{p})$ -number fields having the same local properties as the splitting field of the mod $p$ -Galois representation associa…

Rigid meromorphic cocycles for orthogonal groups

Detecting large simple rational Hecke modules for Γ0​(N) via congruences

On Bhargava's heuristics for GL2​(Fp​)-number fields and the number of elliptic curves of bounded conductor

Detecting large simple rational Hecke modules for $Γ_{0} (N)$ via congruences

On Bhargava's heuristics for $GL_{2} (F_{p})$ -number fields and the number of elliptic curves of bounded conductor