Low Dimensional Topology

August 10, 2009

New LDT blogger: Nathan Dunfield

Filed under: 3-manifolds,Hyperbolic geometry,Virtual Haken Conjecture — Nathan Dunfield @ 10:33 am

Hello all. Jesse has invited me to blog occasionally here at the premier geometric topology blog. I’m also a 3-dimensional topologist, and while I usually describe myself as a geometer, it’s probably more accurate to say I’m an algebraist at heart. Or at least I use a lot of algebra in my work, not to mention number theory. I also do a lot of computation, and I’m planning on doing some posts on experiments that I’ve run that don’t merit formal publication but are still (I hope!) interesting.

One of my main interests has been the Virtual Haken Conjecture and related questions, so I’m very excited by the recent announcement of Kahn and Markovic. Danny Calegari has posted a detailed summary of the argument that Jeremy sent him, which is definitely worth reading.


1 Comment »

  1. Great, that will be quite valuable to have posts about your experiments! You should start with your data on estimates of the ranks of finite covers of congruence arithmetic hyperbolic 3-manifolds.

    Comment by Ian Agol — August 10, 2009 @ 11:56 am | Reply

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