Welcome

I'm a final year PhD student in the School of Mathematical Sciences at Queen Mary University of London. My supervisor is Dr Arick Shao.

I'm a member of the Geometry, Analysis & Gravitation research group.

You can contact me at a.mcgill[at]qmul.ac.uk.

Research

Summary

My research applies geometric and analytical methods to study partial differential equations. I am particularly interested in applications in general relativity.

Articles

A. McGill (2021) "Holographic Characterisation of Locally Anti-de Sitter Spacetimes". Preprint available via arXiv.
A. McGill and A. Shao (2020) "Null Geodesics and Improved Unique Continuation for Waves in Asymptotically Anti-de Sitter Spacetimes". Classical and Quantum Gravity 38:5.
In preparation: "Unique Continuation for the Linearised Einstein Equations".

Talks

I co-organise the London PDE & GR Reading Seminar. I previously co-organised the Queen Mary Internal Postgraduate Seminar.

Here's a list of seminar talks I have delivered:

Geometry, Analysis & Gravitation Seminar, Queen Mary University of London, 23/11/21.
Junior Analysis Seminar, Imperial College London, 12/05/21.
Junior GR Seminar, Princeton University, 30/04/21.

Teaching

Visiting Lecturer at ESCP London - Fundamentals of Mathematics (MA11) - Semester I 2020-2021, 2021-22
Teaching Assistant at QMUL - Vectors and Matrices (MTH4115) - Semester II 2019-2020
Demonstrator at QMUL - Relativity (MTH6132) - Semester I 2019-2020

Additional Stuff

Here's a copy of my CV.

Here's my ResearchGate profile.

Here's my LinkedIn profile.

I previously worked on the exhibition Creating the Mathematical Universe, part of the Tate Exchange exhibition Ideas in Motion: Borders, Bodies and the Universe.

I have also worked as a supervisor on QMUL's Maths Summer School.

I'm a keen quizzer and was lucky enough to represent QMUL on the 2021-22 series of University Challenge.