Xander Povey

Low dimensional topologist at Imperial College London

About Me

My name is Xander Povey. I am currently a PhD student at Imperial College London thinking about problems in low dimensional topology using gauge theory—mostly monopole theory—working with Steven Sivek. Additionally, I am a Martingale scholar from the inaugural cohort of 2023. Before, I did an MSc in Pure Mathematics at Imperial College, in which my master's thesis, on Seiberg-Witten invariants, was supervised by Simon Donaldson. In 2023, I finished my undergraduate studies in Mathematics at Trinity College, Cambridge.

Email: xander.povey23@imperial.ac.uk

Address: Huxley, Room 617
180 Queen's Gate
London SW7 2AZ

Institution page: link here

LinkedIn: link here

Curriculum Vitæ: download here

Invited Talks

Two talks at Aleksander Doan's geometry reading seminar on the Seiberg-Witten family equations
Keynote speaker at Imperial MSc poster presentation 2025, title: "Knots, Groups and Representations"
London low-dimensional topology seminar Autumn 2024: "Introduction to Seiberg-Witten Theory"

Teaching

I am both a senior graduate teaching assistant at Imperial College and a supervisor at Trinity College, Cambridge. At Imperial, I have taught the following modules:

2025-26 Term 1 Groups and Rings;
2024-25 Term 2 Analysis II (complex analysis);
2024-25 Term 1 Linear Algebra and Numerical Analysis;
2023-24 Term 2 Linear Algebra and Numerical Analysis;
2023-24 Term 1 Analysis II.

At Cambridge, I have supervised the following courses:

2024-25 Part II Differential Geometry
2024-25 Part II Algebraic Topology