Alex Margolis

Department of Mathematics and Computer Science

Wesleyan University

Science Tower

265 Church Street

Middletown, CT 06459-0128

Office: 643

I am currently a Van Vleck Visiting Professor of Mathematics at Wesleyan University. I previously held positions at The Ohio State University, Vanderbilt University and 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

Coarse homological invariants of metric spaces arXiv

Quasi-isometric rigidity of extended admissible groups (with Hoang Thanh Nguyen) arXiv

Commensurated hyperbolic subgroups. (with Nir Lazarovich and Mahan Mj) Transactions of the American Mathematical Society 377.10 (2024): 7377-7402. arXiv

Graphically discrete groups and rigidity. (with Sam Shepherd, Emily Stark and Daniel Woodhouse) arXiv

Model geometries dominated by locally finite graphs. Advances in Mathematics 451 (2024): 109813. arXiv

Discretisable quasi-actions I: Topological completions and hyperbolicity. arXiv

Counting lattices in products of trees. (with Nir Lazarovich and Ivan Levcovitz) Commentarii Mathematici Helvetici 98, no. 3 (2023). 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. accepted by Annales de l'Institut Fourier 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

Google Sites

Report abuse