On 9 September 2026 I gave a talk in the Topology (Interpreted broadly) seminar at Monash.

Title: Geometry of Ptolemy equations for hyperbolic 3-manifolds

Abstract: We use spin decorated horospheres to define hyperbolic structures on 3-manifolds. This gives a geometric reinterpretation of the Ptolemy variety in dimension three. This is joint work with Jessica Purcell.

Slides from the talk are below.

Geometry of Ptolemy equations for hyperbolic 3-manifolds, Monash, September 2026
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