Oxford Mathematician Vidit Nanda discusses his recent work with colleagues Bernadette Stolz, Jared Tanner and Heather Harrington on detecting singularities in data.
12:45
Joint Moments of Characteristic Polynomials of Random Unitary Matrices
Abstract
I will review what is known and not known about the joint moments of the characteristic polynomials of random unitary matrices and their derivatives. I will then explain some recent results which relate the joint moments to an interesting class of measures, known as Hua-Pickrell measures. This leads to the proof of a conjecture, due to Chris Hughes in 2000, concerning the asymptotics of the joint moments, as well as establishing a connection between the measures in question and one of the Painlevé equations.
IceCube sub-threshold Data
What's it like to do a DPhil/research?
Abstract
The session will be a panel discussion addressing practical aspects of doing a research degree. We will take questions from the audience so will discuss whatever people wish to ask us, but we expect to talk about the process of applying, why you might want to consider doing a research degree, the experience of doing research, and what people do after they have completed their degree.
What makes a good maths solution?
Abstract
In this interactive workshop, we'll discuss what mathematicians are looking for in written solutions. How can you set out your ideas clearly, and what are the standard mathematical conventions?
This session is likely to be most relevant for first-year undergraduates, but all are welcome.
Making the most of intercollegiate classes
Abstract
What should you expect in intercollegiate classes? What can you do to get the most out of them? In this session, experienced class tutors will share their thoughts, including advice about hybrid and online classes.
All undergraduate and masters students welcome, especially Part B and MSc students attending intercollegiate classes. (Students who attended the Part C/OMMS induction event will find significant overlap between the advice offered there and this session!)