I am an NSF postdoctoral fellow at the University of California, San Diego, under the mentorship of Adrian Ioana. Here is my CV.
I am a co-organizer of the Functional Analysis seminar.
I completed my PhD at the Weizmann Institute of Science in June 2024, under the supervision of Uri Bader. Here is my PhD thesis.
Office: AP&M 2000A.
Email: ivigdorovich@ucsd.edu
Google Scholar arXiv Research Summary
Irredundant Zariski generating sets in semisimple algebraic groups. (with T. Cohen). Preprint by request.
Connections between hyperlinearity, stability and character rigidity for higher rank lattices. (with A. Dogon). arXiv
Structural properties of reduced C*-algebras associated with higher-rank lattices. arXiv
Spectral gap and character limits in arithmetic groups (with A. Levit and R. Slutsky). arXiv
Trace spaces of full free product C*-algebras (with A. Ioana and P. Spaas). arXiv
Compositio Mathematica (to appear)
Characters of diagonal products and Hilbert-Schmidt stability (with A. Dogon and A. Levit).
Transactions of AMS (to appear). arXiv
Lifting Generators in Connected Lie Groups (with T. Cohen). Journal arXiv
Journal of Algebra (2025).
The space of traces of the free group and free products of matrix algebras (with J. Orovitz and R. Slutsky).
Advances in Mathematics (2024). Journal arXiv
Charmenability and stiffness of arithmetic groups (with U. Bader).
Journal of Eur. Math. Soc (2024). Journal arXiv
Characters of solvable groups, Hilbert-Schmidt stability and dense periodic measures (with A. Levit).
Mathematische Annalen (2023). Journal arXiv
Riemannian quantum homological codes and arithmetic manifolds.
MSc Thesis at Weizmann institute of science (2019). MSc thesis
On the complexity of two dimensional commuting local Hamiltonians (with D. Aharonov and O. Kenneth).
Proceedings of Theory of Quantum Computing (2018) . Journal arXiv