Alon Dogon

I am a PhD student at the Department of Mathematics in the Weizmann Institute of Science, studying under Alex Lubotzky and Uri Bader.

I am also a Clore Scholar.

In Fall 2026, I will start as a Simons Juniour Fellow based at Columbia University, under the mentorship of Henry Yuen.

Email: alon.dogon@mail.huji.ac.il

Google Scholar

My full CV

Research Interests:

Broadly speaking, my main interest is Group Theory and its interactions with Operator Algebras and Dynamics. I am also increasingly interested in applications of the above to Quantum Information Theory and Theoretical Computer Science.

Currently, my research focuses on the emerging topic of Stability in Group Theory, and its relation to Approximation Properties of Groups. More specifically, I am interested in various forms of Hilbert-Schmidt stability for different classes of groups, as well as its quantitative aspects. This has lead me to think about character theory of infinite groups, measured group theory, rigidity and structure of lattices in Lie groups.

Preprints:

On L1-approximation of groups, with Benjamin Bachner and Alex Lubotzky (2025). Available on arXiv.
Non-uniform higher-rank lattices are character rigid, with Michael Glasner, Yuval Gorfine, Liam Hanany and Arie Levit (2025). Available on arXiv.
Connections between hyperlinearity, stability and character rigidity for higher rank lattices, with Itamar Vigdorovich (2025). Available on arXiv.

Publications:

Characters of diagonal products and Hilbert-Schmidt stability, with Arie Levit and Itamar Vigdorovich. Transactions of the American Mathematical Society (2025), Journal version, arXiv version.
Flexible Hilbert-Schmidt stability versus hyperlinearity for property (T) groups. Mathematische Zeitschrift (2023) Journal version, arXiv version.
On uniform Hilbert Schmidt stability of groups, with Danil Akhtiamov. Proceedings of the American Mathematical Society (2022) Journal version, arXiv version.

Thesis:

Stability and Approximation of Groups and Operator Algebras, M.Sc. thesis at the Hebrew University of Jerusalem, under the direction of Prof. Alex Lubotzky. Available here.

Talks:

For my talks and recordings, see this page.

Selected Recordings:

Character rigidity and Ergodic Theory of non-uniform higher-rank lattices, Institute of Advanced Studies, Princeton, 29.10.2025. Link to Recording
Stability and approximation of higher-rank lattices, Stability and probabilistic methods, University of Cambridge, Nov 2025. Link to Recording.
Are higher-rank lattices stable and are they hyperlinear? Perspectives in Ergodic Theory, Randomness and Geometry, Jagiellonian University Jan 2026. Link to Recording

I am giving an informal lectures about surrounding strong convergence of representations. See this page for more information.

Organizing:

Current:

I am currently co-organising the Midrasha on Groups in Weizmann, together with Guy Salomon. This is our flagship group theory seminar, where we meet on Monday mornings for a learning seminar, and afternoons for a research seminar.

Fall 2024-2025, the learning seminar was on Measured Group Theory
Spring 2024-2025, the learning seminar was on Discrete Groups, Expanding Graphs and Invariant Measures.
Fall 2025-2026, Hilbert's Fifth Problem and Approximate Subgroups.

More information as well as recordings can be found on our website.

Past:

During Fall 2023, I co-organised the Midrasha on von Neumann Algberas together with Adam Dor-On in the Weizmann Institute. This was a learning seminar (style Midrasha) on the basic theory of von Neumann algebras, as well as more advanced techniques in the case of II_1-factors. The list of lectures are listed in the seminar breakdown.
During 2021-2022, I organized the Topics in group theory student seminar at HUJI together with Michael Chapman. Recordings and information about future and past lectures are available in the above link.
During 2018-2021, I co-organized and co-founded the Nivtan (Walrus) and Penguin seminars at HUJI, together with Yonathan Bachar, Michael Glasner and Ido Karshon. These were informal meetings that served as a friendly stress-free environment for motivated undergraduate/beginning graduate students at HUJI to talk about mathematics they like and wanted to share with others.

Miscellaneous:

-My questions/answers on Mathoverflow, Mathematics Stack Exchange.

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