[email protected] : Research: My research interests are hyperbolic manifolds, low-dimensional topology and geometric group theory. Workshops and Conferences: September 24–27: Dynamical Group Theory IV, KIAS-Rice Workshop on Geometric Topology, June E Huh Center for Mathematical Challenges, Seoul, South Korea.

Home | Short Vitae | Publications | Recent Lectures |: Short Vitae. Education. Ph.D: Arithmetic Kleinian groups and their Fuchsian subgroups; University of Aberdeen, 1988

Home | Short Vitae | Publications | Recent Lectures |: Publications (With C. Maclachlan) Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups.Math. Proc. Camb. Phil. Soc. 102 (1987), 251–257. (With C. Maclachlan) The arithmetic structure of tetrahedral groups of hyperbolic isometries.

Home | Short Vitae | Publications | Recent Lectures |: May 2018

1 Profinite Rigidity Alan W. Reid Rice University ICM, Rio de Janeiro, August 2018

Alan Reid Rice University. Hyperbolic 3-Manifolds and Discrete Groups Hyperbolic 3-space can be de ned as H3 = f(z;t) 2C R : t>0g and equipped with the metric ds= ds E t. Geodesics are vertical lines perpendicular to C or semi-circles perpendicular to C. Codimension 1 geodesic submanifolds are Euclidean planes in

Home | Short Vitae | Publications | Recent Lectures | Teaching. Spring 2018 Math 542: Topics in Advanced Topology–Arithmetic of Hyperbolic Manifolds. This class will study arithmetic aspects of hyperbolic manifolds.

Home | Short Vitae | Publications | Recent Lectures | Teaching. Spring 2017 373K: Algebraic Structures I. This will be a rigorous course in pure mathematics. The syllabus for the course includes topics in the theory of groups and rings.

ALAN W. REID Department of Mathematics, University of Texas, Austin, TX 78712, USA Email: [email protected] 1 Introduction This paper is based on a series of 4 lectures delivered at Groups St Andrews 2013. The main theme of the lectures was distinguishing nitely generated residually nite groups by their nite quotients.

4 D. D. Long and A. W. Reid Theorem 2.1. Let ρ be irreducible and a nontrivial (i.e., nonconjugate) deforma-tion of ρ∞. Then the image ρ(π 1(vol3)) is Zariski dense in SL(4,R). Proof. This is based upon a theorem due to Benoist. Theorem 1.1 of [3] describes the various possibilities for convex real projective structures in our setting ...