I am currently a PostDoc at the University of Bonn under the supervision of Giles Gardam.
Before that, I completed my PhD under the supervision of Alessandro Sisto at Heriot-Watt University and graduated with a Master's degree from ETH Zürich.
I am interested in geometric group theory. In particular groups with hyperbolic features and their boundaries.
E-Mail Address: szbinden [at] math [dot] uni-bonn [dot] de
Papers and preprints
- Weak Morse properties in spaces with bounded combings (with C. Drutu and D. Spriano), preprint 2025
- A non-loxodromic Morse element in a Morse local-to-global group (with C. Abbott), preprint 2025
- Nearly-linear solution to the word problem for 3-manifold groups (with A. Sisto), accepted in International Mathematics Research Notices
- Sigma-compactness of Morse boundaries in Morse local-to-global groups and applications to stationary measures (with V. He and D. Spriano), preprint 2024
- (Non-)existence of Cannon-Thurston maps for Morse boundaries (with R. Charney, M. Cordes, A. Goldsborough, A. Sisto), Bulletin of the London Mathematical Society, pp 463–471, 2025
- Hyperbolic spaces that detect all strongly-contracting directions, preprint 2024
- Subgroups arising from connected components in the Morse boundary (with B. Miraftab and A. Karrer), accepted in Mathematische Zeitschrift
- Small cancellation groups with and without sigma-compact Morse boundary, Groups, Geometry, and Dynamics, 2024
- Characterising quasi-isometries of the free group (with A. Goldsborough), Algebraic & Geometric Topology, pp 5211–5219, 2024
- Corrigendum to "Morse Boundaries of Proper Geodesic Metric Spaces" (with M. Cordes and A. Sisto), Groups, Geometry, and Dynamics, pp 1559-1563, 2024
- Some properties of Markov chains on the free group 𝔽2 (with A. Goldsborough), Journal of Theoretical Probability, pp 2330-2351, 2024
- On the Čech cohomology of Morse boundaries (with E. Fioravanti, A. Karrer, A. Sisto), Advances in Mathematics 443, Paper No. 109601, 2024
- Morse boundaries of 3-manifold groups, Transactions of the AMS, pp 7175-7228, 2024
- Morse boundaries of graphs of groups with finite edge groups, Journal of Group Theory, pp 969-1002, 2023
- Embedding Algorithms for Quantum Annealers with Chimera and Pegasus Connection Topologies (with A. Bärtschi, H. Djidjev, S. Eidenbenz), ISC High Performance 2020, pp 187–206
Courses
- Spring 2026: Random Walks in Groups
Teaching assistant
- Spring 2024: Introduction to Geometric Group Theory SMSTC course at Heriot-Watt
- Fall 2023: Algebraic topology SMSTC course at Heriot-Watt
- Fall 2020: Algorithms Lab at ETH Zürich
- Spring 2019: Analysis II at ETH Zürich
- Fall 2018: Analysis I at ETH Zürich
- Spring 2018: Analysis II at ETH Zürich