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.
To appear in the Journal of the EMS. 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.
To appear in Groups, Geometry and Dynamics. arXiv
Characters of solvable groups, Hilbert-Schmidt stability and dense periodic measures, with Itamar Vigdorovich.
To appear in Mathematische Annalen. 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