Teaching

Current teaching

MA4E0 Lie Groups — Term 1, 2026–27

This course introduces classical Lie groups and Lie algebras, tangent spaces, invariant vector fields, the exponential map, and Lie subgroups, with connections to differential geometry and representation theory.

The course follows lecture notes developed by Weiyi Zhang during the previous two years. I will post a revised and more coherent version week by week.

• Lectures: Please consult the Warwick timetable for exact times and rooms.

• Office hour: Friday, 11:00–12:00, B1.32.

• Exercises: Four formative problem sheets, which do not contribute to the final mark. An additional revision sheet with solutions will be provided before the examination.

• MA4E0 assessment: 100% final written examination.

Official MA4E0 module page · Information for MA6 modules

Past teaching

2025–26 — MA4E0 / MA6E0 Lie Groups, Term 1

2024–25 — Topics in Algebra II, Term 2

MA3G6 Commutative Algebra — several editions through 2018–23

The course covered Gröbner bases, ideals and modules, localisation, integral closure, Noetherian rings, primary decomposition, valuations, and dimension.

Archived materials: 2020 course page · 2019 course page · earlier course page

Projects and PhD supervision

I welcome enquiries from students interested in algebraic geometry, particularly Bridgeland stability conditions, derived categories, moduli spaces, K3 and hyper-Kähler geometry, Fano varieties, and related topics.

Applications to the Warwick Mathematics MPhil/PhD programme are submitted through the University’s online system. Applicants are invited to name potential supervisors in their application; prior agreement with a supervisor is not required. If you contact me before applying, it is helpful to include a CV, academic transcript, and a brief description of your mathematical background and research interests.

Warwick Mathematics MPhil/PhD applications