Welcome to the LSGNT Topics in Geometry course for 2025/26.
This is not a normal lecture course. Every week you'll have a different lecturer, covering some essential aspect of geometry. Lectures don't build on each other directly but later ones might end up using stuff from earlier ones.
The lecturers will set you problems and exercises, of wildly varying difficulty. These are for you to do because doing exercises is how you learn maths. Do as many of the exercises as you can.
A week after each lecture you'll have a `wrap-up session' where you discuss the exercises and the lecture as a group. There won't be a lecturer at the wrap-up session, instead one of you will act as the `owner' for that week's topic and lead the session. I'll also send along the 2nd year who owned the topic last year for extra guidance.
There are some notes of talks on the websites for last year's course and the 2023-24 course (which was run by Yankı Lekili). Also see the 2019 course for words of wisdom from Richard Thomas.
Lectures and wrap-ups are in Room 658, Huxley building, Imperial College.
Lectures are on Fridays 3pm-5pm, except the first one which starts at 2.45pm. Wrap-up sessions are on the following Friday, 11am-1pm.
Date | Topic | Lecturer | Owner | 2nd year |
26/9/25 | Spec and Proj | Ed Segal | Haoming Yang | Simon Alonso |
3/10/25 | Poincaré duality | Steven Sivek | Kyaw Shin Thant | Xander Povey |
10/10/25 | Vector bundles and Chern classes | Richard Thomas | Julian Huber | Naina Praveen |
17/10/25 | Complex and Kähler geometry | Aleksander Doan | Lucie Gatzmaga | |
24/10/25 | Blowing up | Calum Spicer | Adam Baranski | Patrick Luo |
31/10/25 | Symplectic geometry | Dima Panov | Zhaoyang Liu | |
7/11/25 | Morse theory
| Selim Ghazouani | Oliver Seaman | Silvia Gangeri |
14/11/25 | Hodge theory | Heather Macbeth | Sasha Novik | |
21/11/25 | Minimal surfaces | Mikhail Karpukhin | Natasha Diederen | |
28/11/25 | Moduli spaces | Soheyla Feyzbakhsh | Edward Young | Ashesh Bati |
5/12/25 | TBC | Mehdi Yazdi | Fulin Zhong |