Guy Blachar

I am 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 Galois cohomology and the theory of rings and algebras, as well as in general probability theory.

My CV can be found here .

Publications and Preprints

Papers:

• Rank-stability of polynomial equations (with Tomer Bauer and Be’eri Greenfeld), submitted.
• Probabilistic laws on infinite groups (with Gideon Amir, Maria Gerasimova and Gady Kozma), submitted.
• Lipschitz harmonic functions on vertex-transitive graphs (with Gideon Amir, Maria Gerasimova and Gady Kozma), accepted under minor revisions to Electronic Communications in Probability.
• A law of iterated logarithm on lamplighter diagonal products (with Gideon Amir), accepted under minor revisions to Groups, Geometry, and Dynamics.
• Semiassociative algebras over a field (with Darrell Haile, Eliyahu Matzri, Edan Rein and Uzi Vishne), to appear in Journal of Algebra (2024).
• 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).
• Abelianization of the Cartwright-Steger lattice (with Orit Sela–Ben-David and Uzi Vishne), Algebra and Discrete Mathematics, Vol. 34(2), 176-186, (2022).
• 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).
• $\ell$-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).

Others:

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