I am a research fellow in mathematics at KCL. I am in the number theory group and my interests include arithmetic geometry, motives and aspects of representation theory.
Publications and preprints
Henri Johnston, Alex Torzewski On the existence of free sublattices of bounded index and arithmetic applications, 2023 (ArXiv)
Pedro Lemos, Alex Torzewski Bounds on the number of rational points of curves in families, Bull. Lond. Math. Soc., 2022 (ArXiv,Journal)
Alex Torzewski Functoriality of motivic lifts of the canonical construction, Manuscripta Mathematica, 2019 (ArXiv, Journal)
Alex Torzewski Regulator constants of integral representations of finite groups, Math. Proc. Camb. Phil. Soc., 2018 (ArXiv, Journal)
Assorted notes
Short calculations or mathematical expositions. These come in varying degrees of completion and come with a degree of warning as to their reliability.
An explication of Yakovlev's results in the \(C_{p^2}\) case, we use Yakovlev's results to recover the classification of \(\mathbb{Z}_p[C_{p^2}]\)-indecomposable lattices due to Heller-Reiner (pdf)
