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 2021 · math.NTShow all

4 papers · 2 filters

math.NT2021

Non-trivial bounds on 2, 3, 4, and 5-torsion in class groups of number fields, conditional on standard $L$ -function conjectures

Arul Shankar, Jacob Tsimerman

We prove new conditional bounds on the the $m$ -torsion of class groups of number fields of any fixed degree, for $m = 2$ , $3$ , $4$ , and $5$ . Our methods first recast the problem in t…

math.NT2021★ 3 cited

Canonical Heights on Shimura Varieties and the André-Oort Conjecture

Jonathan Pila, Ananth N. Shankar, Jacob Tsimerman +2

The main purpose of this work is to prove the André-Oort conjecture in full generality.

math.NT2021

Towards an Elementary Formulation of the Riemann Hypothesis in Terms of Permutation Groups

Will Cavendish, Jacob Tsimerman

This paper investigates the relationship between the Riemann hypothesis and the statement $\forall n, g (n) \leq e^{p_{n}}$ , where $g (n)$ is the maximum order of an element of…

math.NT2021

Abelian varieties not isogenous to Jacobians over global fields

Ananth N. Shankar, Jacob Tsimerman

We prove the existence of abelian varieties not isogenous to Jacobians over characterstic $p$ function fields. Our methods involve studying the action of degree $p$ Hecke operators…

Non-trivial bounds on 2, 3, 4, and 5-torsion in class groups of number fields, conditional on standard L-function conjectures

Canonical Heights on Shimura Varieties and the André-Oort Conjecture

Towards an Elementary Formulation of the Riemann Hypothesis in Terms of Permutation Groups

Abelian varieties not isogenous to Jacobians over global fields

Non-trivial bounds on 2, 3, 4, and 5-torsion in class groups of number fields, conditional on standard $L$ -function conjectures