As the new academic year approaches, we're adding to our catalogue of Oxford Mathematics student lectures on our YouTube Channel.

The latest is a lecture from Vicky Neale (pictured) on Monotonic Sequences, part of her first year Analysis 1 course. There are 50 more lectures for you to watch on the Channel covering many aspects of the undergraduate degree, including two full courses. We will add more over the coming weeks, including more lectures from the third and fourth years when students get to specialise.

Oxford Mathematician Frances Kirwan has been awarded the Sylvester Medal 2021 "for her research on quotients in algebraic geometry, including links with symplectic geometry and topology, which has had many applications."

One of the main themes of geometry in recent years has been the appearance of unexpected dualities between different geometric spaces arising from ideas in mathematical physics. One famous such example is mirror symmetry. Another kind of duality, which I am currently investigating with collaborators from Oxford and Imperial College, is symplectic duality.

Many of the news stories on our website are about our research, and rightly so as it is an integral part of the academic life. But alongside research, academics are employed to teach, and to teach to the highest standard, providing a pipeline of graduates with the skills needed across the many sectors where they will work.