I graduated with an MMath degree in 2018 and am interested in applying for a PhD in Statistics. However, I don't have a Statistics MSc and have been outside of formal undergraduate maths education for four years.
My MMath degree specialised in Quantum Mechanics and, at the time, I wasnt able to pursue a PhD in Quantum Mechanics. After graduating, I taught GCSE and A-Level Maths for three years and am now teaching on a Level 3 Statistics programme at a relatively new university here in the UK.
As a result of the soft skills I've developed as a teacher, I now feel ready and able to pursue a PhD in Mathematics. I've forgotten a lot of the quantum stuff and I am much more familiar with Statistics and enjoy teaching it. I've spent the last six months learning MSc Statistics content and R by using online resources that are available to me.
I would greatly appreciate any advice on the below:
I've been out of formal uni-level maths training. Would it be a good move to fund myself through an MSc to evidence and (more importantly) develop my understanding of some MSc Statistics content?
Following on from Point 1, I would of course need an academic reference to apply for an MSc or a PhD. However, I've changed a lot since 2018 and am unsure as to whether a reference from my previous academic supervisor would not be as effective as a reference from a more recent referee. Would it be a good idea to do another masters so that I have a more recent and more relevant reference?
Thank you for your time!