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) accepted by Journal of Topology 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

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