A. Torzewski

activity

20172023

most citedOn the existence of free sublattices of bounded index and arithmetic applications

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2023★ 1 cited

On the existence of free sublattices of bounded index and arithmetic applications

Henri Johnston, Alex Torzewski

Let $O$ be a Dedekind domain whose field of fractions $K$ is a global field. Let $A$ be a finite-dimensional separable $K$ -algebra and let $Λ$ be an $O$ -order i…

math.NT2022

Bounds on the number of rational points of curves in families

Pedro Lemos, Alex Torzewski

In this note, we give an alternative proof of uniform boundedness of the number of integral points of smooth projective curves over a fixed number field with good reduction outside…

math.AG2018

Functoriality of motivic lifts of the canonical construction

Alex Torzewski

Let (G,X) be a Shimura datum and K a neat open compact subgroup of $G (A_{f})$ . Under mild hypothesis on (G,X), the canonical construction associates a variation of Hodge str…

math.RT2017

Regulator constants of integral representations of finite groups

Alex Torzewski

Let G be a finite group and p be a prime. We investigate isomorphism invariants of $Z_{p} [G]$ -lattices whose extension of scalars to $Q_{p}$ is self-dual, called re…