Potential 4th year projects 2021

This page is just to give some ideas of potential suitable projects. Variants on this topic may be possible. I will accept at most two students per year over all projects.

Algebraic geometry

Commutative algebra.


Matroids are a combinatorial abstraction of linear algebra, and also of parts of graph theory. The project is to understand realization spaces of matroids. This could have connections to algebraic geometry, depending on the taste of the student. This project would suit someone who liked the combinatorics or combinatorial optimisation modules, but these are not prerequisites.