Itamar Vigdorovich

I am a Phd student in Mathematics at the Weizmann Institute of Science.
My advisor is Uri Bader. Here is my CV.

I am a co-organizer of "Midrasha on Groups" (what is a Midrasha)?

Starting Fall 2024, I will be an NSF postdoctoral fellow at the University of California, San Diego, under the mentorship of Adrian Ioana.

Research

Character theory of infinite groups, with applications to rigidity and stability. My research finds many connections to dynamical systems, operator algebras, geometric group theory, and geometry. I also have some interest and work in quantum information theory. Here is my Research Summary.

Publications

Charmenability and stiffness of arithmetic groups (with Uri Bader).
Accepted to JEMS (2023). arXiv
Characters of solvable groups, Hilbert-Schmidt stability and dense periodic measures (with Arie Levit).
Math. Ann. (2023). Journal arXiv
On the complexity of two dimensional commuting local Hamiltonians (with Dorit Aharonov and Oded Kenneth).
In Proceedings of TQC (2018) . Journal arXiv

Preprints

The space of traces of the free group and free products of matrix algebras (with Joav Orovitz and Raz Slutsky).
Submitted on Aug. 2023. arXiv
Spectral gap and character limits in arithmetic groups (with. Arie Levit and Raz Slutsky).
Submitted on Aug. 2023. arXiv

In preparation

Characters and Hilbert-Schmidt stability of B.H Neumann groups (with Alon Dogon and Arie Levit). By request.
Gaschutz lemma for connected Lie groups (with Tal Cohen). By request.
Classification, charmenability, and stiffness of S-arithmetic groups.

M.Sc thesis

Riemannian quantum homological codes and arithmetic manifolds (2019). Thesis

Music

sometimes, I arrange and compose

An orchestral arrangement of a Pixies song. Listen on Spotify.

A family produced Joni Mitchel cover.

I often play Jazz with Tsachik Gelander