Ben Briggs is advertising a PhD position at Imperial College London, to start in October 2025 (there may be some flexibility in this). Please pass this announcement onto any students you know who might be a good fit!
The successful candidate will, very broadly, work on topics in commutative algebra and representation theory using homological/homotopical methods. Slightly less broadly, the plan is to produce a thesis on the structure of Hochschild cohomology and its relation to other things like the cotangent complex, support varieties, K-theory, proxy-small objects, Koszul duality, etc.
To apply, first write to Ben Briggs (b.briggs@imperial.ac.uk) with a description of your own background and interests, and the names of some reference writers. After that, if we decide your background fits well, you should formally apply through the “My Imperial” system here.
In your application you should say that you are interested in working with Ben Briggs, and you should discuss in detail your background and your interest in the potential project. If you write to him then you can discuss potential thesis ideas in more detail, and this could help your application a lot.
Please apply soon: a shortlist will be made in early November and hold some interviews shortly after that. At present the funding is for home fees, but international applicants will have a chance to apply for a top up that will hopefully cover the full tuition amount.