{ Raz Slutsky }

I'm a mathematician interested in discrete groups, usually as subgroups of Lie groups. I study the geometry of the associated locally symmetric spaces, traces on these groups and their associated operator algebras.

I am a Junior Research Fellow (postdoc) at Merton College, University of Oxford. Before that, I completed my PhD under the supervision of Prof. Tsachik Gelander.

Papers

1. 1. 1. Sparse Random Covers and Growth of Torsion in First Homology, 2026. Submitted. arXiv.

1. 1. 1. A Product-Neighbourhood Criterion for Fixed Price One, 2026. Submitted. arXiv.

1. 1. 1. Invariant Trace Simplices and Relative Property (T), 2026. Submitted. arXiv.

1. 1. 1. Betti Numbers of Negatively Curved Orbifolds with Coefficients in Arbitrary Fields, Joint with Guy Kapon (2026). Submitted. arXiv.

1. 1. 1. A Quantitative Selberg's Lemma for Arithmetic Lattices, Joint with Tsachik Gelander (2025). Groups, Geometry, and Dynamics. Journal arXiv.

1. 1. 1. The Space of Traces of the Free Group and Free Products of Matrix Algebras, Joint with Joav Orovitz and Itamar Vigdorovich (2025). Advances in Mathematics. Journal arXiv.

1. 1. 1. Spectral Gap and Character Limits in Arithmetic Groups, Joint with Arie Levit and Itamar Vigdorovich (2023). To appear in Groups, Geometry, and Dynamics. arXiv.

1. 1. 1. On the Asymptotic Number of Generators of High Rank Arithmetic Lattices, Joint with Alex Lubotzky (2022), Michigan Math. J. (Special volume in honour of G. Prasad). Journal arXiv

1. 1. 1. On the Minimal Size of a Generating Set of Lattices in Lie groups, (2020), Journal of Lie Theory. Joint with Tsachik Gelander. Journal arXiv

1. 1. 1. Linear Variational Principle for Riemann Mappings and Discrete Conformality (2019), Proceedings of the National Academy of Sciences (PNAS), Joint with N. Dim and Y. Lipman. Journal arXiv

Work in Progress and Drafts

Affine Groups Acting Properly Discontinuously, (2025), Joint with Herbert Abels, Grigory Margulis and Gregory Soifer. Submitted Version.
Non-C*-superrigid groups. Joint with Jakub Curda and Shanshan Hua. Draft.
Distinguishing Quasi-isometry Groups by Arithmetic Subgroups. Draft.
Normal sub-semigroups of SLₙ(ℤ) for n ≥ 3 are subgroups. Joint with Roberto Rubio. Draft.
Prescribed Exponential Torsion Growth. Joint with Stepan Alexendrov and Tsachik Gelander. Draft.

Contact

Email Address: raz.slutsky(at)merton.ox.ac.uk

Page updated

Google Sites

Report abuse