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Professor of Mathematics at University of North Carolina,  1987-2017

Professor Emerita, 2017-present


Current contact information:

  • Department of Mathematics
  • University of North Carolina at Chapel Hill
  • Office:  Phillips 384
  • Office phone:  919-962-9611
  • email:   jmh(at)unc(dot)edu

I retired from teaching at UNC but I am still working professionally.

I have written a book called Ergodic Dynamics:From basic theory to applications. Here is a link to the Table of Contents and to Springer in the US and abroad





Some of my research publications are available here, I’m gradually filling in the old papers as they get digitized (and new papers as they get written).

Miscellaneous non-research articles are on this page.


Here are some pages of Julia set image galleries:  Rectangular square lattices for iterated elliptic functions, real projective plane rational maps, rhombic square lattices for elliptic functionspunctured RP(2) Julia sets of dianalytic maps


I was the Treasurer of the American Mathematical Society for 10 years (not including the year of training), but on February 1, 2021 stepped down.

I am on the Atlanta Region Marshall Scholarship Selection Committee, and I was a Marshall Scholar (front row, far left).


I have been involved with the Carolina Dynamics annual meetings for 15+ years.  We published some proceedings with the AMS in 2019, which are linked here.  (Probably your library has a copy.)