Posts by Simon Willerton

Entailment and Implication (Jan 4, 2011)
Tell me the difference between these related ideas.
Integral Transforms and the Pull-Push Perspective, I (Nov 7, 2010)
Start to see how enriched profunctors can be viewed as categorifications of integral kernels.
Enriching Over a Category of Subsets (Aug 30, 2010)
Discover how enriched category theory leads to the definition of some generalized metrics on the space of continuous functions on the unit interval.
Workshop on Music, Patterns and Mathematics (Jun 18, 2010)
A three-day meeting during August in England on Music, Patterns and Mathematics.
On the Magnitude of Spheres, Surfaces and Other Homogeneous Spaces (Apr 21, 2010)
See the details of a new paper on the magnitude of metric spaces.
Modeling Surface Diagrams (Mar 24, 2010)
Watch some videos to see how I’m trying to make 3d models of categorical surface diagrams.
Intrinsic Volumes and Weyl's Tube Formula (Mar 12, 2010)
Read about how the volume of a tube around a surface in 3-space depends only on intrinsic invariants of the surface.
A Look at the Mathematical Origins of Western Musical Scales (Feb 26, 2010)
See how the rational numbers 2 and 3/2 gave birth to the Western musical scale.
Newton Fellowships at Sheffield (Nov 26, 2009)
Apply for a post-doc in Sheffield.
Halmos on Writing Mathematics (Oct 19, 2009)
Over in a discussion at Math Overflow I was reminded about Halmos’ great article on writing mathematics, which I highly recommend to all graduate students (or anyone else, for that matter). P. R. Halmos, How to write mathematics, L’Enseignement…
More Magnitude of Metric Spaces and Problems with Penguins (Oct 10, 2009)
Learn about the tenuous link between emperor penguins and the magnitude of metric spaces.