Daniel Barrera Salazar

activity

20192025

most citedTriple product p-adic L-functions for Shimura curves over totally real number fields

3 citations · 3 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2025

Local-global compatibility and the exceptional zero conjecture for GL(3)

Daniel Barrera Salazar, Andrew Graham, Chris Williams

We prove exceptional zero conjectures for $p$ -ordinary regular algebraic cuspidal automorphic representations of $GL_{3} (A)$ which are Steinberg at $p$ . We make no…

math.NT2025

Higher Hida theory for Drinfeld modular curves

Daniel Barrera Salazar, Héctor del Castillo, Giovanni Rosso

Inspired by the construction of Higher Hida theory of Boxer and Pilloni, we develop Higher Hida theory for the cohomology of the line bundles of Drinfeld modular forms on the Drinf…

math.NT2024

Geometry of the Bianchi eigenvariety around non-cuspidal points and strong multiplicity-one results

Daniel Barrera Salazar, Luis Santiago Palacios

Let $K$ be an imaginary quadratic field. In this article, we study the local geometry of the Bianchi eigenvariety around non-cuspidal classical points, in particular, ordinary non-…

math.NT2020

On $2$ -Selmer groups and quadratic twists of elliptic curves

Daniel Barrera Salazar, Ariel Pacetti, Gonzalo Tornaría

Let $K$ be a number field and $E / K$ be an elliptic curve with no $2$ -torsion points. In the present article we give lower and upper bounds for the $2$ -Selmer rank of $E$ in terms o…

math.NT2019★ 3 cited

Triple product p-adic L-functions for Shimura curves over totally real number fields

Daniel Barrera Salazar, Santiago Molina Blanco

Let F be a totally real number field. Using a recent geometric approach developed by Andreatta and Iovita we construct several variables p-adic families of finite slope quaternioni…