Department of Mathematics and Computer Science
Wesleyan University
Science Tower
265 Church Street
Middletown, CT 06459-0128
Email: amargolis@wesleyan.edu
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.
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.
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