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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
 Picture of the sides of the Ford domain for PU(2,1,O_{7})
 Here are pictures of some
fundamental domains.
 Contact me if you would like a laserprinted version of one of these pictures:
Dernière mise à jour: Oct 14, 2020
