Michael Lipnowski

collaborators

3 papers

math.GT2016

Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds

Michael Lipnowski, Mark Stern

We relate small 1-form Laplacian eigenvalues to relative cycle complexity on closed hyperbolic manifolds: small eigenvalues correspond to closed geodesics no multiple of which boun…

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…

Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds

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