I am a PhD student under the supervision of Alessandro Sisto at Heriot-Watt University. I 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.
I am an active member of the competitive programming community. I have participated at several competitions (among others IOI and ICPC). I was the main organizer of the first EGOI and am part of the IC of EGOI since then.
E-Mail Address: sz2020 [at] hw [dot] ac [dot] uk
Papers and preprints
- Nearly-linear solution to the word problem for 3-manifold groups (with A. Sisto), preprint 2024
- 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), preprint 2024
- 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), preprint 2024
- Small cancellation groups with and without sigma-compact Morse boundary, accepted in Groups, Geometry, and Dynamics
- Characterising quasi-isometries of the free group (with A. Goldsborough), accepted in Algebraic & Geometric Topology
- Corrigendum to "Morse Boundaries of Proper Geodesic Metric Spaces" (with M. Cordes and A. Sisto), accepted in Groups, Geometry, and Dynamics
- Some properties of Markov chains on the free group 𝔽2 (with A. Goldsborough), accepted in Journal of Theoretical Probability
- On the Čech cohomology of Morse boundaries (with E. Fioravanti, A. Karrer, A. Sisto), Adv. Math. 443 (2024), Paper No. 109601, 53 pp
- Morse boundaries of 3-manifold groups, accepted in Transactions of the AMS
- Morse boundaries of graphs of groups with finite edge groups, Journal of Group Theory 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
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