In this ``journal club''-style advanced class, I will present some material from a recent paper of Tom Scanlon https://arxiv.org/abs/2508.17485 . Motivated by the question of decidability of the field C(t) of complex rational functions in one variable, he considers the structure $(\mathbb{C};+,\cdot,CM)$ of the complex field expanded by a predicate for the set CM of j-invariants of elliptic curves with complex multiplication (the "special points"). Analogous to Zilber's result from the 90s on stability of the expansion by a predicate for the roots of unity, Scanlon shows that Pila's solution to the André-Oort conjecture implies that this structure is stable, and moreover that effectivity in this conjecture due to Binyamini implies decidability. I aim to explain Scanlon's proof of this result in some detail.
 

In this week's Fridays@2, a panel of representatives from a range of companies who employ mathematics graduates will be here to answer your questions.A degree in mathematics opens doors far beyond academia, but what do those paths really look like? Join us for a panel event bringing together mathematicians working across Finance, Digital Services, Technology, Consulting, Data Analytics, and Teaching.

Our speakers will share their career journeys, how they moved from studying mathematics into industry roles, and what their day to day work involves. This is your opportunity to gain insight into the skills employers value, the challenges and opportunities in different sectors, and the many ways mathematical thinking shapes real world impact.

Whether you already have a clear goal or are still exploring your options, come along with your questions and curiosity and discover where maths could take you.

Dominik Lukeš from the AI Competency Centre will give an introductory survey of AI in relation to programming.

Session to be run by Five Rings

Details to be finalised

Details to be finalised