My name is Paul Siegel, a data scientist with a geometric bent working on NYC.  Formerly I earned my PhD in mathematics under John Roe at Penn State, after which I spent three years as an assistant professor in the math department at Columbia University.

One of my favorite aspects of mathematics is the way it lurks unseen just below the surface of everyday phenomena until you tilt your head and look at them in just the right way.  I like to use this blog to document some of these “head tilting” moments.  I also use it to write up useful ideas which I don’t want to forget.


4 Comments (+add yours?)

  1. dtreeby
    Oct 21, 2013 @ 03:00:44

    Hi Paul,

    Thank you for that wonderfully written piece you wrote about the “Buffon Noodle Problem”. I’m currently supervising a student undertaking an International Baccalaureate who is exploring constant width curves. I showed her your piece and we wondering what reference (if any) you used to put that piece together? There are a few details that we’d like to clarify.

    Kind regards,

    David Treeby
    Melbourne, Australia


    • pwsiegel
      Oct 22, 2013 @ 14:36:28

      I first learned about all that in a geometry class that I took in grad school, and I mostly pieced together my post from my notes. However, I seem to remember that there was a nice discussion of constant width curves in the book “The Enjoyment of Math” by Rademacher and Toepltiz – that might be a good place to start.


  2. Anonymous
    Mar 18, 2014 @ 21:13:12

    Very nice blog, keep it up ! I particularly enjoyed the post about Buffon’s noodle.


  3. datu
    Oct 15, 2016 @ 18:20:21

    I am sorry to ask a off topic question here, I hear a rumour ” people doing noncommutatuive geometry is rare now, evne Alain Connes does not do that” can you tell me is it true?
    Also, I find most math PHD they do not do math after graduation? so I hesitate to pursue my math PHD degree, can you tell me why you quit math at last.
    thank you very much.


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