Bernard Maskit [SEP] occupation
Bernard Maskit
Bernard Maskit is an American mathematician known for his expertise in Kleinian groups. The Maskit slice through the moduli space of Kleinian groups is named after him; he is the author of the book "Kleinian Groups" (Grundlehren der Mathematischen Wissenschaften 287, Springer-Verlag, 1988) and gave an invited talk about Kleinian groups at the 1974 International Congress of Mathematicians.
Maskit earned his Ph.D. in 1964 from New York University under the supervision of Lipman Bers. After postdoctoral studies at the Institute for Advanced Study he
Bers slice
In the mathematical theory of Kleinian groups, Bers slices and Maskit slices, named after Lipman Bers and Bernard Maskit, are certain slices through the moduli space of Kleinian groups.
Bers slices.
For a quasi-Fuchsian group. the limit set is a Jordan curve whose complement has two components. The quotient of each of these components by the groups is a Riemann surface, so we get a map from marked quasi-Fuchsian groups to pairs of Riemann surfaces, and hence to a product of two