Jennifer S. Balakrishnan

collaborators

3 papers

math.NT2026

p-adic elliptic polylogarithms and cubic Chabauty

Jennifer S. Balakrishnan, Francesca Bianchi, Netan Dogra

The Chabauty--Coleman--Kim method, under favourable circumstances, describes the set of integral points of a hyperelliptic curve inside the $p$ -adic zeroes of certain transcendenta…

math.NT2025

Shadow line distributions

Jennifer S. Balakrishnan, Mirela Ãiperiani, Barry Mazur +1

Let $E$ be an elliptic curve over $Q$ with Mordell--Weil rank $2$ and $p$ be an odd prime of good ordinary reduction. For every imaginary quadratic field $K$ satisfying th…

math.NT2025

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Jennifer S. Balakrishnan, L. Alexander Betts, Daniel Rayor Hast +2

Thanks to work of Rouse, Sutherland, and Zureick-Brown, it is known exactly which subgroups of GL $_{2} (Z_{3})$ can occur as the image of the $3$ -adic Galois representation att…