Brian Lawrence

activity

20172024

most citedThe Shafarevich conjecture for hypersurfaces in abelian varieties

15 citations · 16 across the 8 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019

Two recent p-adic approaches towards the (effective) Mordell conjecture

Jennifer S. Balakrishnan, Alex J. Best, Francesca Bianchi +4

We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter method, which is usual…

math.NT2019

On the $p$ -adic distribution of torsion values for a section of an abelian scheme

Brian Lawrence, Umberto Zannier

Let $A \to S$ be an abelian scheme over a $p$ -adic field, and let $s : S \to A$ be a section. We study the torsion locus $\bigcup \limits_{n \geq 1} s^{-1}(A[n…

math.GT2019

Representations of surface groups with universally finite mapping class group orbit

Brian Lawrence, Daniel Litt

Let $Σ_{g, n}$ be the orientable genus $g$ surface with $n$ punctures, where $2 - 2 g - n < 0$ . Let $ρ : π_{1} (Σ_{g, n}) \to G L_{m} (C)$ be a representation. Suppose that for each finit…

Two recent p-adic approaches towards the (effective) Mordell conjecture

On the p-adic distribution of torsion values for a section of an abelian scheme

Representations of surface groups with universally finite mapping class group orbit

On the $p$ -adic distribution of torsion values for a section of an abelian scheme