Jacob Tsimerman

activity

20092023

most citedLocal spectral equidistribution for Siegel modular forms and applications

45 citations · 309 across the 42 of their papers we have counts for

collaborators

Showing 2020 · math.NTShow all

3 papers · 2 filters

math.NT2020★ 2 cited

Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity

Michael Lipnowski, Will Sawin, Jacob Tsimerman

Let $L / K$ be a quadratic extension of global fields. We study Cohen-Lenstra heuristics for the $ℓ$ -part of the relative class group $G_{L / K} := Cl (L / K)$ when $K$ contai…

math.NT2020

Heuristics for the asymptotics of the number of $S_{n}$ -number fields

Arul Shankar, Jacob Tsimerman

We give a heuristic argument supporting conjectures of Bhargava on the asymptotics of the number of $S_{n}$ -number fields having bounded discriminant. We then make our arguments rigo…

math.NT2020

High $ℓ$ -torsion rank for class groups over function fields

Iman Setayesh, Jacob Tsimerman

We prove that in the function field setting, $ℓ$ -torsion in the class groups of quadratic fields can be arbitrarily large. In fact, we explicitly produce a family whose $ℓ$ -r…

Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity

Heuristics for the asymptotics of the number of Sn​-number fields

High ℓ-torsion rank for class groups over function fields

Heuristics for the asymptotics of the number of $S_{n}$ -number fields

High $ℓ$ -torsion rank for class groups over function fields