Blogs about: Metric Geometry
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The travelling salesman problem
This is one of those items I should have written about long ago: I first heard about it over a lunch chat with professor Guth; then I was in not one, but two different talks on it, both by Peter Jones… more →
Area 777
Bill Thurston is dead at age 65.
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wrote 10 months ago: Bill Thurston passed away yesterday at 8pm, succumbing to the cancer that he had been battling for t … more →
The travelling salesman problem
wrote 1 year ago: This is one of those items I should have written about long ago: I first heard about it over a lunch … more →
Stable isoperimetric inequality
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wrote 1 year ago: Eric Carlen from Rutgers gave a colloquium last week in which he bought up some curious questions an … more →
Ultrametrics and the nonlinear Dvoretzky problem
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wrote 1 year ago: Hi guys~ The school year here at Princeton is finally (gradually) starting. So I’m back to thi … more →
A remark on a mini-course by Kleiner in Sullivan's 70th birthday
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wrote 2 years ago: I spent the last week on Long Island for Dennis Sullivan’s birthday conference. The conference … more →
Stabilization of Heegaard splittings
wrote 2 years ago: In the last lecture of a course on Heegaard splittings, professor Gabai sketched an example due to H … more →
A report of my Princeton generals exam
wrote 2 years ago: Well, some people might be wondering why I haven’t updated my blog since two weeks ago…H … more →
The Carnot-Carathéodory metric
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wrote 2 years ago: I remember looking at Gromov’s notes “Carnot-Carathéodory spaces seen from within” … more →
Isoperimetric inequality on groups
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wrote 2 years ago: Back in high school, we have all learned and loved the isoperimetric inequality: “If one wants to en … more →
On Uryson widths
wrote 2 years ago: This is a note on parts of Gromov’s paper ‘width and related invariants of Riemannian ma … more →
Intergal geometry and the minimax inequality in a nutshell
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wrote 2 years ago: The goal for most of the posts in this blog has been to take out some very simple parts of certain p … more →
Metric 2011: Metric geometry, groups, and algorithms
wrote 2 years ago: There will be a program at the Institut Henri Poincaré from Jan 5 to Mar 31 on “Metric geometr … more →
Cutting the Knot
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wrote 2 years ago: Recently I came across a paper by John Pardon – a senior undergrad here at Princeton; in which … more →
Lecture 5: Uniformizing graphs, multi-flows, and eigenvalues
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wrote 4 years ago: In the previous lecture, we gave an upper bound on the second eigenvalue of the Laplacian of (bounde … more →
Folding proteins for fun and profit
wrote 5 years ago: It appears that some crafty biologists have figured out a way to trick unsuspecting internet users i … more →
Conformal dimensions and Cantor sets
wrote 5 years ago: I don’t know if metric geometry qualifies as low dimensional topology, but today’s subje … more →
Geodesics
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wrote 5 years ago: Suppose that, instead of using the usual Euclidean norm on , we use an arbitrary -norm. Then the dis … more →
