Xander Povey
Low dimensional topologist at Imperial College London
About Me
I am currently a second-year PhD student at Imperial College London thinking about problems in low dimensional topology using gauge theory—mostly monopole theory—supervised by 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: click here
Address: Huxley, Room 617
180 Queen's Gate
London SW7 2AZ
Institution page: link here
LinkedIn: link here
Curriculum Vitæ: download here
Invited Talks
- Imperial Junior Geometry Seminar Autumn 2025, title "The manifold faces of the manifolds of the fourth dimension"
- 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:
- 2025-2026 Part IB Topology
- 2025-2026 Part II Algebraic Topology
- 2024-25 Part II Differential Geometry
- 2024-25 Part II Algebraic Topology
Gallery
