Lennart Gehrmann

activity

20152026

most citedOn the order of vanishing of Stickelberger elements of Hilbert modular forms

8 citations · 47 across the 19 of their papers we have counts for

collaborators

19 papers

math.NT2026

On the abundance of rigid meromorphic cocycles for quadratic forms in four variables

Lennart Gehrmann, Sören Sprehe

Let $(V, q)$ be an anisotropic quadratic space of dimension $4$ over the rationals and let $p$ be a prime such that the local quadratic space $V \otimes Q_{p}$ is the orthogon…

math.NT2026

On rational quadratic cocycles

Lennart Gehrmann

Let $(V, q)$ be a non-degenerate $n$ -dimensional quadratic space over the rationals of real signature $(r, s)$ . For every integer $1 \leq k \leq min {r, n - 2}$ we construct classes in…

math.NT2025

Evaluation of Bianchi Rigid Meromorphic Cocycles at Big ATR Points

Lennart Gehrmann, Xavier Guitart, Marc Masdeu

We develop the tools required to effectively evaluate the Bianchi rigid meromorphic cocycles introduced by Darmon-Gehrmann-Lipnowski at big ATR points, and use them to obtain the f…

math.NT2024

The Gross--Kohnen--Zagier theorem via $p$ -adic uniformization

Lea Beneish, Henri Darmon, Lennart Gehrmann +1

This article gives a new proof of the Gross--Kohnen--Zagier theorem for Shimura curves which exploits the $p$ -adic uniformization of Cerednik--Drinfeld. The explicit description of…

math.NT2023

Iwasawa theory and mock plectic points

Michele Fornea, Lennart Gehrmann

We use Iwasawa theory, at a prime $p$ inert in a quadratic imaginary field $K$ , to study the arithmetic properties of mock plectic invariants for elliptic curves of rank two. More…

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.NT2022

On the algebraicity of polyquadratic plectic points

Michele Fornea, Lennart Gehrmann

We establish direct evidence of the arithmetic significance of plectic Stark-Heegner points for elliptic curves of arbitrarily large rank. The main contribution is a proof of the a…

math.NT2021

L-invariants for cohomological representations of PGL(2) over arbitrary number fields

Lennart Gehrmann, Maria Rosaria Pati

Let $π$ be a cuspidal, cohomological automorphic representation of an inner form $G$ of $PGL_{2}$ over a number field $F$ of arbitrary signature. Further, let $p$ …

math.NT2021★ 1 cited

Plectic Stark-Heegner points

Michele Fornea, Lennart Gehrmann

We propose a conjectural construction of global points on modular elliptic curves over arbitrary number fields, generalizing both the p-adic construction of Heegner points via Cere…

math.NT2020

Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations

Lennart Gehrmann

Recently, Gekeler proved that the group of invertible analytic functions modulo constant functions on Drinfeld's upper half space is isomorphic to the dual of an integral generaliz…

math.NT2020

On quaternionic rigid meromorphic cocyles

Lennart Gehrmann

Recently, Darmon and Vonk initiated the theory of rigid meromorphic cocycles for the group $SL_{2} (Z [1/ p])$ . One of their major results is the algebraicity of the d…

math.NT2020★ 2 cited

Gelfand's trick for the spherical derived Hecke algebra

Lennart Gehrmann

Gelfand's trick shows that the spherical Hecke algebra of a $p$ -adic split reductive group is commutative. We adapt this strategy in order to show that the spherical derived Hecke…

math.NT2020★ 5 cited

Big principal series, p-adic families and L-invariants

Lennart Gehrmann, Giovanni Rosso

In earlier work, the first named author generalized the construction of Darmon-style $L$ -invariants to cuspidal automorphic representations of semisimple groups of higher…

math.NT2019★ 6 cited

Automorphic L-invariants for reductive groups

Lennart Gehrmann

Let $G$ be a reductive group over a number field $F$ , which is split at a finite place $p$ of $F$ , and let $π$ be a cuspidal automorphic representation of $G$ , which is…

math.NT2018★ 4 cited

Derived Hecke algebra and automorphic L-invariants

Lennart Gehrmann

Let $π$ be a cohomological automorphic representation of $P G L (2)$ over a number field of arbitrary signature and assume that the local component of $π$ at a prime $p$ is…

math.NT2017★ 6 cited

Functoriality of automorphic L-invariants and applications

Lennart Gehrmann

We study the behaviour of automorphic L-Invariants associated to cuspidal representations of GL(2) of cohomological weight 0 under abelian base change and Jacquet-Langlands lifts t…

math.NT2016★ 7 cited

Leading terms of anticyclotomic Stickelberger elements and p-adic periods

Felix Bergunde, Lennart Gehrmann

Let E be a quadratic extension of a totally real number field. We construct Stickelberger elements for Hilbert modular forms of parallel weight 2 in anticyclotomic extensions of E.…

math.NT2015★ 7 cited

On Shalika models and p-adic L-Functions

Lennart Gehrmann

We use modular symbols to construct p-adic L-functions for cohomological cuspidal automorphic representations on GL(2n), which admit a Shalika model. Our construction differs from…

math.NT2015★ 8 cited

On the order of vanishing of Stickelberger elements of Hilbert modular forms

Felix Bergunde, Lennart Gehrmann

We construct Stickelberger elements for Hilbert modular cusp forms of parallel weight 2 and use recent results of Dasgupta and Spiess to bound their order of vanishing from below.…

On the abundance of rigid meromorphic cocycles for quadratic forms in four variables

On rational quadratic cocycles

Evaluation of Bianchi Rigid Meromorphic Cocycles at Big ATR Points

The Gross--Kohnen--Zagier theorem via p-adic uniformization

Iwasawa theory and mock plectic points

Rigid meromorphic cocycles for orthogonal groups

On the algebraicity of polyquadratic plectic points

L-invariants for cohomological representations of PGL(2) over arbitrary number fields

Plectic Stark-Heegner points

Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations

On quaternionic rigid meromorphic cocyles

Gelfand's trick for the spherical derived Hecke algebra

Big principal series, p-adic families and L-invariants

Automorphic L-invariants for reductive groups

Derived Hecke algebra and automorphic L-invariants

Functoriality of automorphic L-invariants and applications

Leading terms of anticyclotomic Stickelberger elements and p-adic periods

On Shalika models and p-adic L-Functions

On the order of vanishing of Stickelberger elements of Hilbert modular forms

The Gross--Kohnen--Zagier theorem via $p$ -adic uniformization