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I was a graduate student at University of Illinois at Urbana Champaign under the direction of Nathan Dunfield, finishing a PhD in hyperbolic geometry and number theory in 2011. I can be reached at jsinick@gmail.com.

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comment Number of primes with $-1\pmod 6$ vs. Number of primes with $+1\pmod 6$
You might find this paper interesting dms.umontreal.ca/~andrew/PDF/PrimeRace.pdf
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revised Asymptotics for the number of triangulations of a manifold M
deleted 3 characters in body
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comment Modern Mathematical Achievements Accessible to Undergraduates
Is it fair to characterize the use of the Jones Polynomial to distinguish knot as tremendous progress in mathematics? My impression is that its primary source of interest is in its deeper significance.