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Some pictures related to my research activities
Spherical CR uniformization of the figure eight knot complement
 Click on the fractal to see a movie that shows the evolution
of the limit set of the deformations of the RFuchsian (3,3,4)
triangle group, until we get to the group that gives a spherical
CR uniformization of the figure eight knot complement.
The limit sets live in R^{3} (which you should think of as the
Heisenberg group), and we only draw projections onto a plane, so
some pictures exhibit more selfintersection points than they really
should.
For more details on the math behind this, see
my paper with
E. Falbel.
 Here is a picture in cylindrical
projection of the boundary of a horotube for the group (see
this paper for more
details on the math behind this picture).
Fundamental domains for nonarithmetic lattices
 Here are pictures of some
fundamental domains.
Dernière mise à jour: Jul 22, 2019
