معرفی
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).
