activity
20182025
collaborators

5 papers

math.NT2025

A -Converse theorem for Real Quadratic Fields

Muskan Bansal, Somnath Jha, Aprameyo Pal +1

Let be an elliptic curve defined over a real quadratic field . Let be a rational prime that is inert in and assume that has split multiplicative reduction at…

math.NT2021

The rationality of Stark-Heegner cycles attached to Bianchi modular forms -- The base-change scenario

Guhan Venkat

We study Stark-Heegner cycles attached to Bianchi modular forms, that is automorphic forms for GL(2) over an imaginary quadratic field F . The Stark-Heegner cycles are local cohomo…

math.NT2019

Stark-Heegner cycles attached to Bianchi modular forms

Guhan Venkat, Chris Williams

Let f be a Bianchi modular form, that is, an automorphic form for GL(2) over an imaginary quadratic field F, and let P be a prime of F at which f is new. Let K be a quadratic exten…

math.NT2018

Iwasawa theory for Symmetric Square of non--ordinary eigenforms

Kâzım Büyükboduk, Antonio Lei, Guhan Venkat

Let be a normalized cuspidal eigen-newform of level coprime to with . We formulate both integral signed Iwasawa main conjectures and analytic Iwasawa man conjectu…

math.NT2018

Iwasawa theory for Rankin--Selberg products of -non-ordinary eigenforms

Kazim Büyükboduk, Antonio Lei, David Loeffler +1

Let and be two modular forms which are non-ordinary at . The theory of Beilinson-Flach elements gives rise to four rank-one non-integral Euler systems for the Rankin-Sel…