Monthly Archives: November 2009

Imagining the plane

The other day at lunch, one of my colleagues — let’s call her “Wendy Hilton” to preserve her anonymity (OK, this is pretty bad, but perhaps not quite as bad as Clive James’s use of “Romaine Rand” as a pseudonym … Continue reading

Posted in Biology, Psychology, Visualization | Tagged , , , | 3 Comments

Polygonal words

Last Friday, Henry Wilton gave a talk at Caltech about his recent joint work with Sang-hyun Kim on polygonal words in free groups. Their work is motivated by the following well-known question of Gromov: Question(Gromov): Let be a one-ended word-hyperbolic group. … Continue reading

Posted in Groups, Surfaces | Tagged , , , , , , , , | 6 Comments

4-spheres from fibered knots

I was at UC Riverside this past weekend, attending the regional meeting, and giving a talk in a special session on knot theory in memory of the late Xiao-Song Lin. After lunch, I joined in a conversation between Rob Kirby … Continue reading

Posted in 4-manifolds | Tagged , , , , , , | Leave a comment

Minimal laminations with leaves of different conformal types

The “header image” for this blog is an example of an interesting construction in 2-dimensional conformal geometry, due to Richard Kenyon, that I learned of some time ago; I thought it might be fun to try to explain where it … Continue reading

Posted in Complex analysis, Surfaces | Tagged , , , , , , | 8 Comments