Raz's Math Page

{ Raz Slutsky }

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

I am a Julia de Lacy Mann Fellow (post-doc) at Merton College, University of Oxford. Previously, I completed my PhD under the supervision of Prof. Tsachik Gelander.

Papers

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

Contact

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

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