Overview: The proposed research is a continued investigation of discrete groups of complex hyperbolic isometries, building upon the PI and his collaborators' recent success in constructing previously unknown nonarithmetic lattices in PU(2; 1). More specically, we propose to study lattices generated by reflections in PU(n; 1) for n > 2, geometric aspects of arithmetic lattices, and deformations of hyperbolic 3-manifold groups into PU(3; 1)
|Effective start/end date||8/15/17 → 7/31/21|
- National Science Foundation (NSF): $177,582.00
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