Over the summer of 2024, I was funded by UCL to undertake a research project under the supervision of Assoc. Prof. Cecilia Busuioc. I am very grateful to UCL for funding this and especially thankful for all the work Cecilia did in helping me with the project. She was a brilliant supervisor and I am very glad to have been able to work with her. The project was on elliptic curves with complex multiplication....
The slides for a group presentation on the top Patterns in Prime Numbers centering around a discussion of Bunyakovsky’s Conjecture, in which we touch on Dirichlet’s Theorem, Schinzel’s Conjecture, the Twin Prime Conjecture and more. Last summer, I, Bruno Eaves, and Ioannis Pantelidakis gave a presentation on Patterns in Prime Numbers, focusing on a discussion around Bunyakovsky’s conjecture which captures many open questions related to prime numbers. This March, we were very grateful to have the opportunity to give this presentation at the IMA’s ‘Tomorrow’s Mathematicians Today 2024’ undergraduate conference....