More by Michael Atiyah
4 dimensions is... very important, even if you don't believe in it.
Geometry in 2, 3 and 4 Dimensions (2011)
Abstraction enables you to put lots of things in the past [together] in one package, which you label "algebra" or whatever it may be.
The Youthful Spirit of Mathematics (2012)
The 19th century finished with a very very deep theory of 2 dimensional surfaces, in all aspects: geometrical, analytical, complex, real.
Geometry in 2, 3 and 4 Dimensions (2011)
In the 20th century we moved... from 2 dimensions to 3...
Geometry in 2, 3 and 4 Dimensions (2011)
In 3 dimensions the curvature is more complicated... It's determined not by by a single number r, but by a number R that depends on 2 directions i and j, called the Ricci curvature...
Geometry in 2, 3 and 4 Dimensions (2011)
Only God knows! Maybe Dirac, but he's no longer with us.
Sir Michael Atiyah, What is a Spinor? (2013)
So replace "electron" by "spinor" and you get the tone of this lecture.
Sir Michael Atiyah, What is a Spinor? (2013)
In dimension one, along a straight line or on the edge of a circle there is no real geometry. All you can do is to measure how far along the path you are.
Geometry in 2, 3 and 4 Dimensions (2011)
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