Guy Blachar

I am a postdoc at the Weizmann Institute of Science, under the mentorship of Prof. Gady Kozma .

Previously, I was a PhD student at Bar-Ilan University, under the supervision of Prof. Gideon Amir and Prof. Uzi Vishne .

My research interests lie in probabilistic and geometric group theory, and in particular the asymptotic behavior of random walks on finitely generated groups, word maps, and geometric properties of groups. I am also interested in stability of equations in groups and algebras.

My CV can be found here .

Publications and Preprints

Papers:

1. Profinite rigidity of lamplighter groups , to appear in Proceedings of the AMS (2025).
2. Probabilistic laws on infinite groups (with Gideon Amir, Maria Gerasimova and Gady Kozma), to appear in the Israel Journal of Mathematics (2024).
3. A law of iterated logarithm on lamplighter diagonal products (with Gideon Amir), to appear in Groups, Geometry, and Dynamics (2024).
4. Lipschitz harmonic functions on vertex-transitive graphs (with Gideon Amir, Maria Gerasimove and Gady Kozma), Electronic Communications in Probability, 29, 1–4.
5. Semiassociative algebras over a field (with Darrell Haile, Eliyahu Matzri, Edan Rein and Uzi Vishne), Journal of Algebra, 649, 35–84.
6. Identities of the algebra $\mathbb{O}\otimes\mathbb{O}$ (with Louis Rowen and Uzi Vishne), Contemporary Mathematics, Noncommutative Rings and their Applications VII: Algebra and Coding Theory, In honor of Tariq Rizvi, (Leroy and Jain, eds.), 2021, Vol. 785, 35-45, (2023).
7. Abelianization of the Cartwright-Steger lattice (with Orit Sela–Ben-David and Uzi Vishne), Algebra and Discrete Mathematics, Vol. 34(2), 176-186, (2022).
8. Noncommutative inclusion–exclusion, representations of left regular bands and the Tsetlin library‏ (with Louis Rowen and Uzi Vishne), International Journal of Algebra and Computation, Vol. 31(1), 37-62, (2021).
9. $\ell$-weak identities and central polynomials for matrix algebras (with Eliyahu Matzri, Louis Rowen and Uzi Vishne), INdAM series, Proceedings of the workshop ``Polynomial Identities in Algebras’’, (2021).

Preprints:

10. The speed of random walks on semigroups (with Be’eri Greenfeld), submitted.
11. Mixability of finite groups (with Gideon Amir, Subhajit Ghosh and Uzi Vishne), submitted.
12. Rank-stability of polynomial equations (with Tomer Bauer and Be’eri Greenfeld), under revision (IMRN).

Others:

13. SageMath interface to the GAP package GBNP (with Tomer Bauer).

Conferences

Here are some conferences I helped organize:

1. AI and Mathematics: Current Trends and Future Directions (September 2024).
2. Formal Power Series and Algebraic Combinatorics (January 2021).