Embedding a Torus (John Nash)
This videos features James Grime with a little bit of Edward Crane.
Ed's full discussion of Nash and embedding: https://youtu.be/5xQ4ePN79-M
Nash shared both the Nobel and Abel Prizes.
Full details. Nobel: http://www.nobelprize.org/nobel_prizes/economic-sciences/laureates/1994/
Abel: http://www.abelprize.no/c63466/seksjon/vis.html?tid=63467&strukt_tid=63466
Other mathematicians have done much work in this field (we have focused on Nash in these videos).
Great summary here: http://math.univ-lyon1.fr/~borrelli/Hevea/Presse/index-en.html
And top paper on the corrugated torus: http://www.pnas.org/content/109/19/7218.full.pdf
James Grime: http://singingbanana.com
Edward Crane at the University of Bristol: http://www.maths.bris.ac.uk/~maetc/
Twisted Torus video: https://youtu.be/3_VydFQmtZ8
Torus Balloon at Maths Gear: http://bit.ly/TorusBalloon