Research
I am a group theorist working with infinite discrete groups and with totally compact locally disconnected (tdlc) topological groups.
Recently, I have been enjoying thinking of
sofic groups and other metric approximations;
one-relator groups;
profinite topologies;
t.d.l.c. topological groups;
scale function and (topological) entropy for t.d.l.c. topological groups.
Publications and preprints, roughly in reverse chronological order
10. On rigidity of isomorphisms of graph products of groups (joint with A. Garreta and E. Ventura).
In preparation
9. Bounded conciseness in the space of marked groups.
(Running title) in preparation
8. On the non-discreteness of automorphism groups of Cayley graphs of Coxeter groups (joint with M. Ferov).
Submitted (2023), (ArXiv link)
7. Linearity of graph products (joint with J. de la Nuez).
Proc. of LMS (3), 2022, 1 -- 14, (Arxiv link)
6. A refined combination theorem for hierarchically hyperbolic groups (joint with B. Robbio).
Groups, Geometry, and Dynamics 14 (2020), no. 4, 1127 -- 1203 (ArXiv link)
5. Separating cyclic subgroups in graph products of groups (joint with M. Ferov).
J. Algebra 531 (2019), 19 -- 56 (ArXiv link)
4. Unrestricted wreath products and sofic groups (joint with G. Arzhantseva, M. Finn-Sell, L. Glebsky).
Internat. J. Algebra Comput. 29 (2019) no. 2, 343 -- 355 (ArXiv link)
3. Residual properties of graph products of groups (joint with M. Ferov).
J. Group Theory 19 (2016), no. 2, 217 -- 231 (ArXiv link)
2. Residual properties of free products.
Comm. Algebra 44 (2016), no. 7, 2959 -- 2980 (ArXiv link)
1. Scale function vs topological entropy (joint with D. Dikranjan, A. Giordano Bruno).
Topology Appl. 160 (2013), no. 18, 2314 -- 2334 (ArXiv link)
PhD Thesis
0. New residually amenable groups, permanence properties, and metric approximations
University of Vienna, Nov 2016. pdf