Alex Margolis
I am currently a visiting assistant professor at The Ohio State University. I was previously a postdoctoral fellow at Vanderbilt University, and a postdoc at the Technion - Israel Institute of Technology. I received my DPhil from the University of Oxford, supervised by Panos Papasoglu.
Research interests
I work in geometric group theory, the study of groups via their actions on metric spaces. I am particularly interested in quasi-isometric rigidity, group cohomology, group splittings, and locally compact groups and their discrete subgroups.
Papers and preprints
Commensurated hyperbolic subgroups. (with Nir Lazarovich and Mahan Mj) arXiv
Graphically discrete groups and rigidity. (with Sam Shepherd, Emily Stark and Daniel Woodhouse) arXiv
Model geometries of finitely generated groups. arXiv
Discretisable quasi-actions I: Topological completions and hyperbolicity. arXiv
Counting lattices in products of trees. (with Nir Lazarovich and Ivan Levcovitz) To appear in Commentarii Mathematici Helvetici arXiv
Planar lattice subsets with minimal vertex boundary. (with Radhika Gupta, Ivan Levcovitz and Emily Stark.) The Electronic Journal of Combinatorics (2021): P3-57. arXiv
Groups of cohomological codimension one. (submitted) arXiv
The geometry of groups containing almost normal subgroups. Geometry & Topology 25.5 (2021): 2405-2468. arXiv
Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups. Groups, Geometry, and Dynamics 14.4 (2020): 1351-1417. arXiv
Quasi‐isometry invariance of group splittings over coarse Poincaré duality groups. Proceedings of the London Mathematical Society 116.6 (2018): 1406-1456. arXiv