Arie Levit math homepage

Hi. I am a senior lecturer (a tenure track position) at the Tel Aviv University school of mathematics.

Prior to that I was a Gibbs assistant professor at Yale.

My PhD was completed at the Weizmann Institute under the supervision of Prof. Tsachik Gelander.

Research Interests:

I am interested in discrete groups, analytic and geometric group theory, ergodic theory and dynamics. Topics I worked on include lattices, invariant random subgroups, characters and stability.

Publications:

Counting commensurability classes of hyperbolic manifolds, with Tsachik Gelander
- - GAFA 2014. arXiv
The Nevo-Zimmer intermediate factor theorem over local fields

- Geometriae Dedicata 2017. arXiv

Local rigidity of uniform lattices, with Tsachik Gelander

- Commentarii Mathematici Helvetici 2018. arXiv

Invariant random subgroups over non-Archimedean local fields, with Tsachik Gelander.

- Mathematische Annalen 2018. arXiv

Edge Kempe equivalence for regular graph covers, with Nir Lazarovich.

- Journal of Graph Theory 2019. arXiv

Critical exponents of invariant random subgroups in negative curvature, with Ilya Gehktman.

- GAFA 2019. arXiv

On Benjamini-Schramm limits of congruence subgroups.
- Israel Journal of Mathematics 2020. arXiv
Infinitely presented stable groups and invariant random subgroups of metabelian groups, with Alexander Lubotzky.
- Ergodic Theory and Dynamics 2022. arXiv
Uncountably many permutation stable groups, with Alexander Lubotzky.
- Israel Journal of Mathematics 2022. arXiv
Effective discreteness radius of stabilizers for stationary actions, with Tsachik Gelander and Gregory Margulis.
- Michigan Mathematical Journal 2022. Special volume in honor of Gopal Prasad. arXiv
Surface groups are flexibly stable, with Nir Lazarovich and Yair Minsky.
- Journal of the EMS 2024. arXiv
Characters of the group ELd(R) for a commutative Noetherian ring R, with Omer Lavi.
- Advances in Mathematics 2022. arXiv
Virtually free groups are stable in permutations, with Nir Lazarovich.
- Groups, Geometry and Dynamics 2023. arXiv
Characters of solvable groups, Hilbert-Schmidt stability and dense periodic measures, with Itamar Vigdorovich.
- Mathematische Annalen 2024. arXiv
Stationary random subgroups in negative curvature, with Ilya Gehktman.
- preprint. arXiv
Spectral gap and character limits in arithmetic groups, with Raz Slutsky and Itamar Vigdorovich.
- preprint. arXiv
Characters of diagonal products and Hilbert-Schmidt stability, with Alon Dogon and Itamar Vigdorovich.
- To appear in the Transactions of the AMS. arXiv
Spectral gap for products and a strong normal subgroup theorem, with Uri Bader and Tsachik Gelander.
- preprint. arXiv
Non-uniform higher-rank lattices are character rigid, with Alon Dogon, Michael Glasner, Yuval Gorfine and Liam Hanany.
- preprint. arXiv

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