Exploring fascinating mathematics more independently by doing a Part B project or dissertation can be one of the most exciting and rewarding parts of undergraduate study. Supervision meetings are one of the main tools for making the most of this experience.

In this Fridays@2 session, a panel of staff and students with experience in Part B projects and dissertations will share practical tips on how to prepare, communicate effectively, and tackle common challenges. Whether you’re currently working on a project, planning one, or just curious, join us for insights and an interactive Q&A.

The Junior Algebra and Representation Theory Seminar will kick-off the start of Hilary Term with a social event in the common room. Come to catch up with your fellow students and maybe play a board game or two. Afterwards we'll have lunch together.

Let F(x,y) be a polynomial over the complex numbers. The Elekes-Ronyai theorem says that if F(x,y) is not essentially addition or multiplication, then F(x,y) exhibits expansion: for any finite subset A, B of complex numbers of size n, the size of F(A,B)={F(a,b):a in A, b in B} will be much larger than n. In fact, it is proved that |F(A,B)|>Cn^{4/3} for some constant C. In this talk, I will present a recent joint work with Martin Bays, which is an asymmetric and higher dimensional version of the Elekes-Rónyai theorem, where A and B can be taken to be of different sizes and y a tuple. This result is achieved via a generalisation of the Elekes-Szabó theorem.