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 R-Fuchsian (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 R3 (which you should think of as the Heisenberg group), and we only draw projections onto a plane, so some pictures exhibit more self-intersection 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 (non-arithmetic) lattices
- Picture of the sides of the Ford domain for PU(2,1,O7)
- Here are pictures of some
fundamental domains.
- Contact me if you would like a laser-printed version of one of these pictures:
