LMS Holgate Lecturer

Very happy to announce my appointment as a Holgate Lecturer with the London Mathematical Society (LMS). The position means that the LMS are supporting my outreach work for the next 4 years so all you have to do if you want me to come and give a talk/run a workshop at your school is to get in touch here.

You can find out more about the details of the scheme on the LMS website – and make sure you check out the other amazing speakers.

If you’re not already excited about the prospect of Tom Rocks Maths coming to your school then here are some examples sessions to really get you in the mood for some maths!

1. Maths v Sport (Y9 onwards)
How do you take the perfect penalty? What is the limit of human endurance? Where is the best place to attempt a world record? Maths has all of the answers and I’ll be telling you how to use it to be better at sport (results may vary).

2. Maths: it’s all Greek to me! (Y9 onwards)
You’ve probably heard of Pythagoras, Archimedes and Plato, but do you know the sins behind their stories? From murder and deceit to running naked down the street, the Ancient Greek mathematicians were anything but boring. I’ll be telling you all about their mischief – mathematical or otherwise – as I bring the history of maths to life (featuring live experiments and togas).

3. The Millennium Problems (Y10 onwards)
The seven greatest unsolved problems in mathematics, each worth a cool $1 million… In this session I’ll introduce each of the puzzles in turn and try to give you a feel for the maths that you’ll need to know if you’re planning to take one of them on.

4. Navier-Stokes Stripped (Y12 onwards)
The Navier-Stokes equations model the flow of every fluid on Earth, but yet we know very little about them. So little in fact, there is currently a $1 million prize for anyone that can help to improve our understanding of how these fascinating equations work. In this session, I’ll strip back the Navier-Stokes equations layer-by-layer to make them understandable for all… Based on my hit YouTube series ‘Equations Stripped’.

5. How to make everything about maths (Teachers)
Since completing my PhD, I have transitioned from maths researcher to maths communicator with the launch of my outreach programme ‘Tom Rocks Maths’. In this session I will discuss the most successful ways to increase engagement with maths through examples from my work with the BBC, the Naked Scientists, and from my YouTube channelwebsite and social media pages @tomrocksmaths.

Tom Rocks Maths S02 E02

The second episode of season 2 of Tom Rocks Maths on Oxide Radio – Oxford University’s student radio station. Featuring the numbers behind the sub 2-hour marathon world record attempt, P versus NP and the battle for control of the world, and the usual dose of Funbers with my super sweet 16. Plus, music from Blink 182, Billy Talent and Hollywood Undead. This is maths, but not as you know it…

Tom Rocks Maths S02 E01

Tom Rocks Maths is back on Oxide – Oxford University’s student radio station – for a second season. The old favourites return with the weekly puzzle, Funbers and Equations Stripped. Plus, the new Millennium Problems segment where I tell you everything that you need to know about the seven greatest unsolved problems in the world of maths, each worth a cool $1 million. And not to forget the usual selection of awesome music from artists such as Rise Against, Panic at the Disco, Thirty Seconds to Mars – and for one week only – Taylor Swift. This is maths, but not as you know it…

Science Oxford Interview: From Togas to Tattoos…

I was interviewed by Autumn Neagle at Science Oxford about my toga-clad exploits in FameLab and the meaning of my maths-based tattoos… You can read the full article here.

What did you enjoy most about the FameLab experience?

“I’d been aware of FameLab for a few years, but I’d never entered because I thought that you had to talk about your own research – and with mine being lab-based I didn’t think it would translate very well to the live element of the show. But, once I found out that I could talk about anything within the subject of maths then it was a whole different ball game and I just had to give it a go. I think my favourite part was actually coming up with the talks themselves, just sitting down and brainstorming the ideas was such a fun process.”

What did you learn about yourself?

“The main takeaway for me was the importance of keeping to time. I knew beforehand that I was not the best at ‘following the rules’ and I think that both of my FameLab talks really demonstrated that as I never actually managed to get to the end of my talk! This was despite practicing several times beforehand and coming in sometimes up to 30 seconds short of the 3-minute limit – I think once I’m on stage I get carried away and just don’t want to come off!”

What about post-FameLab – how has taking part made a difference?

“Well, I certainly now appreciate the comfort and flexibility of wearing a toga that’s for sure! But on a more serious note, I think the experience of being on stage in front of a live audience really is invaluable when it comes to ‘performing maths’ – and I say ‘performing’ because that’s now how I see it. Before I would be giving a lecture or a talk about maths, but now it’s a full-on choreographed performance, and I think taking part in FameLab really helped me to understand that.

Any tips for future contestants?

“It has to be the time thing doesn’t it! I think everyone knows to practice beforehand to ensure they can get all of the material across in the 3-minutes, but for me that wasn’t enough. I’d suggest doing the actual performance in front of a group of friends or colleagues because – if they’re anything like me – then the adrenaline rush of being on stage changes even the best rehearsed routines and you can only get that from the live audience experience.”

What are you up to now/next?

“I’ve actually just received an award from the University of Oxford for my outreach work which is of course fantastic but also completely unexpected! I really do just love talking to people about maths and getting everyone to love it as much as I do, so the plan is very much to keep Tom Rocks Maths going and to hopefully expand into television… I have a few things in the pipeline so watch this space.”

Are all of your tattoos science inspired and if so what’s next?

“Now that I’ve reached the dizzy heights of 32 tattoos I can’t say that they are all based on science or maths, but it’s definitely still one of the dominant themes. So far I’ve got my favourite equation – Navier-Stokes, my favourite shapes – the Platonic Solids, and my favourite number – e. Next, I’m thinking of something related to the Normal Distribution – it’s such a powerful tool and the symmetry of the equation and the graph is beautiful – but I’ve yet to figure out exactly what that’s going to look like. If anyone has any suggestions though do let me know! @tomrocksmaths on social media – perhaps we can even turn it into a competition: pick Tom’s next tattoo, what do you think?”

In your YouTube video’s #EquationsStripped you reveal the maths behind some of the most important equations in maths, and I noticed that you describe the Navier-Stokes equations as your favourite – why is that and perhaps most importantly can you solve them?

“My favourite equations are the Navier-Stokes equations, which model the flow of every fluid on Earth… Can I solve them? Not a chance! They’re incredibly complicated, which is exactly why they’re a Millennium Problem with a million-dollar prize, and my idea with the video and live talk is to try to peel back the layers of complexity and explain what’s going on in as simple terms as possible.”

Does that mean that anyone can follow your video?

“The early parts yes absolutely, I purposefully start with the easier bits – the history, the applications, and then gradually get more involved with the physical setup of the problem and finally of course the maths of it all… And that’s pretty much where the idea to ‘strip back’ the equations came from – I thought to myself let’s begin simple and then slowly increase the difficulty until the equation is completely exposed. Being the ‘Naked Mathematician’ the next move was pretty obvious… as each layer of the equation is stripped back, I’m also stripping myself back until I’m just in my underwear – so almost completely exposed but not quite!”

Where did the whole idea of ‘stripping’ equations come from?

“I suppose I don’t really see it as ‘stripping’ per se, it’s there for comedic effect and really to show that maths is not the serious, boring, straight-laced subject that unfortunately most people think it is. Stripping for the videos is fine – it’s just me alone with my camera, but then earlier this year I was asked to give a live talk for the Oxford Invariants Society and they were very keen to emphasise that they wanted to see the Naked Mathematician in the flesh – quite literally!”

And how did it go?

“Well, barring some slightly awkward ‘costume changes’ between the layers of the equation – I went outside for the final reveal down to my underwear for example – it was good fun and definitely something I’d be keen to try out again… Perhaps maybe even an Equations Stripped Roadshow. I’m keen to try out anything that helps to improve the image that people have of maths.”

Navier-Stokes: one equation to rule them all

A leading Millennium Prize Problem is the Navier-Stokes equation, which, if solved, could model the flow of any fluid – that means how aeroplanes navigate the skies, how water meanders in a river and how the flow of blood courses through your blood vessels… Understanding these equations in more detail will lead to scientific advances in all of these fields: better aircraft design, improved flood defences, and better drug delivery in the body. Fluids expert and mathematician Keith Moffatt took me down to the deep dark depths of Cambridge’s maths lab…

  • For most fluids, including air and water, the Navier-Stokes equations are based on Newton’s Laws and were first written down in the 19th century
  • The millennium problem is to answer the question of whether or not the equations can become infinite
  • It cannot be solved with a computer because a computer programme will break down before the singularity at infinity is reached
  • A real-world example is when two tornado-like vortices collide and undergo a process called ‘vortex reconnection’

You can listen to the full interview for the Naked Scientists here.

And you can read more about the Navier-Stokes equations and all of the Millennium Problems here.

Perelman and the Poincaré Conjecture

Grigori Perelman is a quiet and unassuming mathematician from Russia, who took the world of maths by storm in 2010 when he not only solved the Poincare problem but then refused the $1 million reward! I went along to the Millennium Bridge in London to meet mathematician Katie Steckles to shed some light on Perelman’s story and to find out why the Millennium Bridge was in fact its own millennium maths problem…

  • When the Millennium Bridge opened its resonant frequency matched that of walking pedestrians which caused it to vibrate massively as seen in the video below

  • In the field of topology things are considered equal if you can get from one to the other by doing a ‘smooth and gradual change’
  • The Poincare Conjecture states that any shape satisfying a set of three conditions can be deformed into a sphere, and this will hold true in any number of dimensions
  • It had been proved for all dimensions except 4, which was shown to be true by Grigori Perelman in 2002
  • He published his proof on the internet and then refused the $1 million prize money, instantly becoming a sensation

You can listen to the full interview for the Naked Scientists here.

Solve this and you’ll win $1 million

My first ever live radio interview from July 2015 – enjoy! You can listen to the full interview for the Naked Scientists here.

The Millennium Prize Problems are a set of 7 maths problems that have been deemed so important that if you can solve any of them, you’ll be awarded 1 million Dollars. I was interviewed by Naked Scientist presenter Graihagh Jackson to explain exactly what the problems entail…

  • The Millennium problems are a second reincarnation of the idea of important maths problems with the first set of 23 being proposed by Hilbert in 1900.
  • The prizes are offered by the Clay Institute and so far only one of the seven has been correctly solved
  • The 7 problems are the Navier-Stokes Equations, the Mass Gap Hypothesis, the Poincare Conjecture, the Riemann Hypothesis, P vs NP, the Birch and Swinnerton-Dyer Conjecture and the Hodge Conjecture
  • Estimates of the time required to solve one of the problems actually results in being paid below minimum wage

If you want to find out more about the Millennium Problems you can find a series of articles I’ve written on the subject here.

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