2018 Abel Prize Laureate Robert Langlands: Theorems v Theories

2018 Abel Prize Laureate Robert Langlands explains his work in the context of theorems versus theories. The second in a series of videos documenting my experience at the 2018 Abel Prize week in Oslo.

With thanks to the Norwegian Academy of Science and Letters for kindly providing me with a scholarship.

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Brazil Nut Effect in Avalanches and Cereal

The brazil nut effect describes the movement of large particles to the top of a container after shaking. The same effect also occurs in avalanches where large blocks of ice and rocks are seen on the surface, and in a box of cereal where the large pieces migrate to the top and the smaller dusty particles remain at the bottom. In this video, Nathalie Vriend and Jonny Tsang from the University of Cambridge explain how the granular fingering instability causes granular convection and particle segregation, with examples of experiments and numerical simulations from their research.

 

This video is part of a collaboration between FYFD and the Journal of Fluid Mechanics featuring a series of interviews with researchers from the APS DFD 2017 conference. Sponsored by FYFD, the Journal of Fluid Mechanics, and the UK Fluids Network. Produced by Tom Crawford and Nicole Sharp with assistance from A.J. Fillo.

From aliens to bees via tattoos…

A short review of intern Joe Double’s work with Tom Rocks Maths over the summer of 2018. Written for the OUS East Kent branch who provided funding for the project. 

‘First of all, I must thank you again for the grant, and for the warmth and friendliness at your event; it was an absolute delight to give my presentation and talk to your members, as it has been interacting with you in general.

I had the opportunity to work with one of my tutors over the summer to produce pieces for a general audience about complex mathematical topics. Without the help of the OUS East Kent group, I couldn’t have taken up this opportunity – with their grant’s help, I was able to afford to live in Oxford through a large part of the summer, allowing me to work in close contact with my tutor and use his studio for creating the videos and audio pieces I worked on. The OUSEK grant can be put to use far more flexibly than those from bigger schemes (which always have preconditions to meet about how the project will apply to industry, say), so I couldn’t recommend applying more if you have an idea for a project for your time at Oxford which is on the unusual side!’

Pieces I produced during the project:

Why do Bees Build Hexagons? Honeycomb Conjecture explained by Thomas Hales

A video I edited of Tom (my tutor) interviewing Thomas Hales about the mathematics behind beehives.

Would Alien (Non-Euclidean) Geometry Break Our Brains?

My main video, written, filmed and edited by me, about demystifying non-Euclidean geometry.

Take me to your chalkboard

My main audio piece, where I interview Professor Adrian Moore (also of St Hugh’s) about what philosophy can tell us about how aliens might do maths.

Maths proves that maths isn’t boring

An article about Gödel’s incompleteness theorems, and how they show maths is always risky.

Getting tattooed for science…

An audio piece I edited about a tattoo Tom got of the Platonic solids.

Alien maths – we’re counting on it

An article about how we use the mathematics of prime numbers to send messages to the stars.

Play Nice!

An article about a game theory paper which could amongst other things help stop deforestation.

The original article was published on the OUS East Kent website here.

On Zientzia Video Competition

My video ‘how plesiosaurs ruled the ocean with their flippers’ has been shortlisted for a prize in the On Zientzia science video competition. You can vote for my entry by clicking here and rating the video out of 5 stars. 

“The aim of the competition is to promote the production and dissemination of short, original videos that foment positive and progress values of science and technology, and that can be used by any kind of public for consultation purposes. The subject is totally free and can deal with one’s own or other people’s research, red-hot issues in society or the scientific community, personal scientific and technical passions, basic science concepts, scientific milestones, historical figures and science of the future or the past.”

Tom Rocks Maths S02 E04

The final episode of Tom Rocks Maths on Oxide Radio for 2018 goes out with a bang. We’ve got another million-dollar maths problem, a healthy dose of nakedness, and we try chopping up traffic cones with a saw. Plus, music from Jay-Z/Linkin Park, the Red Hot Chili Peppers and the Foo Fighters. This is maths, but not as you know it…

Alex Bellos Interviews Abel Prize Winner Robert Langlands

Author and broadcaster Alex Bellos interviews 2018 Abel Prize Laureate Robert Langlands after he receives the award from King Harald V of Norway. Langlands discusses his early childhood in Canada, his choice of maths at university because it was ‘easy’, his meeting with Norwegian mathematician Atle Selberg at Princeton, and finally his advice for young mathematicians looking to make their mark on the subject.

Produced by Tom Crawford with support from the Norwegian Academy of Science and Letters. The third in a series of videos documenting my experience at the 2018 Abel Prize week in Oslo.

How high can bees count?

Bees are not only able to build fantastic hexagonal honeycombs they’re apparently also able to count! But do they deserve their reputation as nature’s mathematicians? Georgia Mills spoke to Srini Srinivasan from the University of Queensland to find out how they discovered counting bees…

  • Bees were trained to fly down a tunnel with a reward of sugar water at the end, and a series of identical landmarks labelled 1, 2, 3, 4, etc. along the route.
  • One of the landmarks contained the reward and the bees had to test each one to discover its location. This was repeated several times until the bees learned the location of the reward.
  • The spacing of the landmarks was then changed, but the reward remained at the same landmark, and the bees had to find it once again.
  • They were able to ‘count’ the number of landmarks and would go straight to the correct location bypassing the others that did not contain a reward.
  • The highest number of sequential landmarks the bees were able to ‘count’ was 4.
  • Four is a universal number as when briefly presented with an image containing a number of objects, the largest amount most animals can recognise accurately is 4-5. This process is called subitising.
  • Counting to 4 is useful for bees when for example deciding whether or not to land on a flower to collect pollen. If there are 3-4 bees already there then it is probably not worth their effort.
  • Counting has also been looked at in fish birds and chimpanzees, and in each case the number four keeps cropping up, suggesting universality.
  • The tunnel experiment was actually designed to investigate how bees navigate and the corresponding ‘waggle dance’ that they use to communicate information.

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

Martin Fourcade: the Science behind the Olympic Biathlon Skiing Champion

Five-time Olympic Biathlon Skiing Champion Martin Fourcade enlisted the help of two scientists – Caroline Cohen and Christophe Clanet at Ecole Polytechnique – to help to decide the best type of wax to use on his skis in the 2018 PyeongChang Winter Olympics. Here’s how they did it…

Sponsored by FYFD, the Journal of Fluid Mechanics, and the UK Fluids Network. Produced by Tom Crawford and Nicole Sharp with assistance from A.J. Fillo.

BIG STEM Communicators Network

As a new member of the BIG STEM Communicators Network I was very pleased to be featured in the member spotlight for spring 2019. (The original article is ‘members only’ so I’ve copied the text below.)

“As a new member of the BIG community I would like to introduce myself as the ‘Naked Mathematician’ (yes you did read that correctly). I am a Maths Tutor at the University of Oxford with a goal to reduce fear and anxiety towards maths. One of the ways in which I do this is to take my clothes off – what better way to emphasise that the subject is not as serious and intimidating as many people think than by teaching in my underwear! The concept began as a series of videos on my YouTube channel entitled ‘Equations Stripped’ where I strip back some of the most famous equations in maths (and myself) layer-by-layer so that everyone can understand, and has since evolved into a live performance now touring universities across the UK. My efforts to bring maths to a new audience have been recognised by the University of Oxford, where I was awarded first prize in the Outreach and Widening Participation category at the OxTALENT awards, and I have also been shortlisted for the Institute of Physics Early Career Communicator award.

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The ‘Naked Mathematician’ is of course not appropriate for every audience and as such is only a small part of the work that I do to share my love of maths. My ‘Funbers’ series was broadcast throughout 2018 on BBC Radio, where in each episode I look at numbers more closely than anyone really should to bring you the fun facts that you didn’t realise you’ve secretly always wanted to know… I also try to involve my audience in the creative process as much as possible by issuing a call for questions on social media and then hosting a vote to decide the topic of my next video in the ‘I Love Mathematics’ video series. Finally, I combine my love of sport with maths in my popular ‘Maths v Sport’ talk which features a live penalty shootout on stage and an attempt to break a running world record (appropriately scaled of course!).

All of the material that I produce is available for free on my website tomrocksmaths.com and associated social media profiles @tomrocksmaths on Facebook, Twitter, Instagram and YouTube. I am very excited to have joined BIG and look forward to working with the community to help to share STEM subjects with the world!”

Nailing Science: The Maths of Rivers

Creating scientifically accurate nail art whilst discussing my research in fluid dynamics with Dr Becky Smethurst and Dr Michaela Livingston-Banks at the University of Oxford.

We recorded 1h30mins of footage, so this is the heavily edited version of our chat ranging from the fluid dynamics equations needed to describe the flow of water in a river, the Coriolis effect, the experimental set up replicating this, and how these experiments can help with the clean up of pollution.

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