Welcome to the LSGNT Topics in Geometry course for 2026/27.
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, the 2024-25 courseand 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, wrap-up sessions are on the following Friday, 11am-1pm.
| Date | Topic | Lecturer | Owner | 2nd year |
| 2/10/26 | Spec and Proj (Starts at 2:40 PM!) Old slides | Exercises | Ed Segal | Daniel Lang | Haoming Yang |
| 9/10/26 | Poincaré duality Notes | Exercises | Steven Sivek | Michael McGloin | Kyaw Shin Thant |
| 16/10/26 | Complex geometry Old notes with exercises | Aleksander Doan | Joe Cooper | Anna Besciani |
| 23/10/26 | Vector bundles and Chern classes Notes with exercises | Selim Ghazouani | Giacomo Passarella | Julian Huber |
| 30/10/26 | Blowing up Exercises | Calum Spicer | Sam Silver | Adam Baranski |
| 6/11/26 | Symplectic geometry Notes with exercises | Yanki Lekili | Abhi Mummaneni | Oliver Sokvari |
| 13/11/26 | Morse theory
Exercises | Old notes with exercises | More old notes with exercises | Kyler Siegel | Nikita Handel | Oliver Seaman |
| 20/11/26 | Minimal surfaces Notes with exercises | Mikhail Karpukhin | Ethan Sosin | Edison Xie |
| 27/11/26 | Hodge Theory Notes | Exercises | Olivier de Gaay Fortman | Alex Pawelko | Edward Young |
| 4/12/26 | Ordinary Double Points | Richard Thomas | Songchen Liu | Zhengyang Cui |
| 11/12/26 | 3-manifolds Exercises | Mehdi Yazdi |