Vivas and Prime Numbers

“Anything could happen!”

I’ve heard academics and PhD candidates say that about the viva, and while there’s a sort of truth to it, the statement also misses a lot. Anything could happen, but it rarely does. The vast majority of vivas are completed within three hours, most vivas have two examiners and there are common opening questions. While there’s no way you could expect a particular script of questions they might ask you, you can reasonably expect certain areas to come up.

Going back to my pure maths days, the topic of viva expectations reminds of prime numbers. There are infinite prime numbers – 2, 3, 5, 7, 11 and so on – numbers which can only be divided by themselves and 1 without leaving a remainder. There is no end to them. And yet there are many, many ways we can categorise them.

There’s one even prime, and infinitely many odd ones. There are primes that form little pairs, twin primes, which are separated by adding 2, for example, 3 and 5, 5 and 7, 11 and 13. There are primes like 23 and 37 that aren’t twin and don’t form little couples. After the number 2 we could group together all primes according to whether or not they are 1 modulo 4 or 3 modulo 4 – but really we’re getting away from the topic here!

There are infinitely many primes, they go on for ever – and yet there are many useful ways we can group them, categorise them and learn from them.

There are countless different vivas, anything could happen, but also patterns and structures that we can see and even expect.

Again: anything could happen in the viva, but “anything” very rarely does. It’s far more useful for you to find out about common expectations and learn from them than to try and prepare for infinite possibilities.

Episode 6: Dr Helena Mihaljevic-Brandt

In this episode I’m talking with Dr Helena Mihaljevic-Brandt, a PhD maths graduate who did her research at the University of Liverpool and now lives in Berlin. She works as an editor for Zentralblatt MATH, an online reviewing database of mathematics papers. Helena’s research area was holomorphic dynamics – I know a little about that because she used to sit at the next desk to mine at Liverpool!

It has been a few years since I last caught up properly with Helena, and it was great to do so for Viva Survivors. I was really interested to hear her perspective and her PhD journey; I was curious about what it was like for her to do her postgraduate research in a foreign country, and what it was like to then return home to take up a research post.

I hope you enjoy Helena’s podcast as much as I did recording it with her! Check back soon on Viva Survivors for more podcasts and maybe a couple of surprises; as always, please feel free to leave comments or drop me an email, and make sure you’re following the site’s Twitter feed for updates and announcements: @VivaSurvivors.

Episode 4: Dr Julia Collins

EDIT: I had the wrong link to Julia and Haggis’s blog in both the podcast and in this post! D’oh! Sorry about that everyone. I’ve corrected it now. Big thanks to Colin Wright for spotting it and letting me know.

Two podcasts in under a week! It’s almost like it’s your birthday!

In Episode 4 I have a chat with Dr Julia Collins, who had her viva in 2011. She got her PhD in maths (in the same field as me) from the University of Edinburgh. Since completing her PhD, Julia has had the position of Mathematics Engagement Officer at Edinburgh. Her stuffed sheep Haggis blogs about maths and science communication here and you can follow them both on Twitter: @haggismaths. It was great to talk to Julia about her PhD and viva; we met several years ago at various conferences, and were both doing research in the same branch of maths.

Note that there is a slight echo on the podcast audio; sorry about that! I forgot to plug in my headphones when we were recording, and it only became apparent towards the end. I’ll watch out for that more on future recordings!

Please share Viva Survivors with friends, family, colleagues, peers, anyone and everyone! If you have comments about the podcasts or questions about the viva then please get in touch, maybe they are things that I can explore in future podcasts. I’m always looking for more people to interview too.

And as ever, we’re on Twitter: @VivaSurvivors.

Episode 1: Dr Shaine Bushell

In the first episode of Viva Survivors I’m talking with Dr Shaine Bushell, PhD maths graduate of the University of Liverpool and now the Mathematics Enhancement Course Leader at the University of Chester.

Shaine and I were officemates during my PhD, and we’ve remained close friends ever since. It was great to interview him for Viva Survivors, and really interesting to hear the story of how he came to be a researcher, how he prepared for his viva, what happened and what he has been doing since then.

Episode 2 of Viva Survivors is up right now! For details of future episodes, be sure to follow us on Twitter: @VivaSurvivors.