Netan Dogra

activity

20162026

most citedQuadratic Chabauty and rational points I: p-adic heights

50 citations · 79 across the 15 of their papers we have counts for

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math.NT2025

Generalised height pairings and the Albanese kernel

Netan Dogra

The Chabauty--Coleman--Kim method in depth two describes the rational points on a curve in terms of a generalisation of Nekovář's $p$ -adic height pairing which replaces $\mathbb{G}…

math.NT2025

$p$ -adic approaches to unlikely intersections

Netan Dogra

In this article we explain the Buium--Coleman approach to the Manin--Mumford conjecture, and outline its generalisations. As an illustration, we give a $p$ -adic proof of a theorem…

math.NT2025

A Buium--Coleman bound for the Mordell--Lang conjecture

Netan Dogra, Sudip Pandit

For $X$ a hyperbolic curve of genus $g$ with good reduction at $p \geq 2 g$ , we give an explicit bound on the Mordell--Lang locus $X (C) \cap Γ$ , when $Γ \subset J (C)$ …

Generalised height pairings and the Albanese kernel

p-adic approaches to unlikely intersections

A Buium--Coleman bound for the Mordell--Lang conjecture

$p$ -adic approaches to unlikely intersections