Research and publications
Research fields: Geometric Group Theory, Combinatorial Group Theory, Groups of Negative Curvature
Research keywords: Growth in Groups, Kaplansky Zero Divisor Conjecture, Unique Product Groups, Hyperbolic Groups, Random Groups, Small Cancellation Theory, L^2-betti numbers, Atiyah conjecture, CAT(0) cubulation, embeddings into simple groups, Left-ordered Groups
Preprints:
Subgroups and diversity of left-orderable small cancellation groups, arXiv: 2312.12120
Research papers (peer reviewed):
Rips construction without unique product, with G. Arzhantseva, Pacific Journal of Mathematics 322-1 (2023), 1-9, doi: 10.2140/pjm.2023.322.1 , Open access
Product set growth in Burnside groups, with R. Coulon, Journal de l'École polytechnique - Mathématiques 9 (2022), 463-504, doi: 10.5802/jep.187, Open acces
Embeddings into left-orderable simple groups, with A. Darbinyan, J. London Math. Soc. 105 no. 3 (2022), 2011-2045, doi: 10.1112/jlms.12552, Open acces
Product set growth in groups and hyperbolic geometry, with T. Delzant, J. Topol. 13 no. 3 (2020), 1183-1215, doi: 10.1112/topo.12156, Preprint available at arXiv:1804.01867
A combination theorem for cubulation in small cancellation theory over free products, with A. Martin, Ann. Inst. Fourier (Grenoble) 67 no. 4 (2017), 1613-1670, doi: 10.5802/aif.3118, Open acces
Finite index subgroups without unique product in graphical small cancellation groups, with D. Gruber and A. Martin, Bull. London Math. Soc. 47 (2015), 631-638, doi: 10.1112/blms/bdv040, Preprint available at arXiv:1407.6850
Rips-Segev torsion-free groups without the unique product property, J. Algebra 438 (2015), 337-378, doi: 10.1016/j.jalgebra.2015.05.004, Open archive
Thesis:
Dissertation, University of Vienna, Kaplansky's zero divisor conjecture, CAT(0) cubulation, and the unique product property, 2016, https://othes.univie.ac.at/45342/, available in .pdf, advisor: Goulnara Arzhantseva
Diploma thesis, University of Vienna, Manifolds of J-holomorphic fibre bundle sections and their dimension, 2011, http://othes.univie.ac.at/14349/, advisor: Stefan Haller