Overview
I am a third year PhD student in mathematics under the supervision of Professor Nigel Byott and Professor Mohamed Saidi.
I will be spending my PhD investigating certain algebraic objects known as Hopf-Galois structures, which in a sense generalise the idea of the Galois group of a field extension. The goal will be to study the behaviour of Hopf-Galois structures on separable (but not necessarily normal) field extensions of squarefree degree, which a 1987 paper by Greither and Pareigis makes much more accessible by translating the problem into that of one in group theory.
I have (recreational) interests in a number of areas within both algebra and number theory and always enjoy learning new things!
I have a personal website now!
Publications
Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.
2024
- Darlington A. (2024) Hopf-Galois structures on separable field extensions of degree pq, Journal of Pure and Applied Algebra, volume 228, no. 7, DOI:10.1016/j.jpaa.2024.107653.