Alan Reid

Alan Reid is the Edgar Odell Lovett Professor of Mathematics and Chair of the Mathematics Department at Rice University. His work focuses on hyperbolic geometry, Kleinian groups, 3-manifolds, and arithmetic groups, with significant contributions to geometric topology and profinite rigidity.

Research Interests:

• Hyperbolic 3-manifolds and orbifolds
• Profinite rigidity and group separability
• Mapping class groups and surface subgroups
• Arithmetic and geometric properties of Kleinian groups
• Low-dimensional topology and geometric embeddings

Publications span key areas such as commensurability classes, surface subgroup constructions, volume minimality, and profinite properties of 3-manifold groups. Recent work includes studies on thin subgroups and geometric boundaries in higher dimensions.

Books:

• In the Tradition of Ahlfors-Bers (co-editor)
• Surface Subgroups and Subgroup Separability in 3-Manifold Topology (with Long)
• The Arithmetic of Hyperbolic 3-Manifolds (with Maclachlan)

Recent Lectures include presentations at the Workshop on Geometric Topology (Cortona, 2017), the NZMRI Summer Workshop (2018), and the International Congress of Mathematicians (2018).