Be'eri Greenfeld

I am a postdoc at the Department of Mathematics at the University of Washington, where my mentor is James Zhang.

Previously, I was an S.E.W Visiting Assistant Professor at the University of California San Diego, where my mentor was Efim Zelmanov.

I earned my PhD from Bar-Ilan University under the supervision of Uzi Vishne. 

Publications

Journal publications

1. The quantitative Kurosh problem, Forum of Mathematics, Sigma, accepted.

2. The finite presentation problem for Noetherian algebras, Journal of Algebra (2025), to appear.

3. Conjugacy growth of free nilpotent groups, International Journal of Algebra and Computation (2024).

4. A note on the Zariski topology on groups (with: G. Goffer), Journal of Algebra (2024).

5. Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth (with: E. Zelmanov), Advances in Mathematics (2023).

6. Gaps and approximations in the space of growth functions, Selecta Mathematica (N. S.) (2023).

7. Stable finiteness does not imply linear soficity, Math. Proc. Cambridge Phil. Soc. (2023).

8. Amenability of monomial algebras, minimal subshifts and free subalgebras (with: J. P. Bell), IMRN (2023).

9. Affine Noetherian algebras, filtrations and presentations, Proceedings of the AMS (2023).

10. Growth of unbounded subsets in nilpotent groups, random mapping statistics, and geometry of group laws (with: H. Lavner), IMRN (2023).

11. First-order rigidity of rings satisfying polynomial identities, Annals of Pure and Applied Logic (2022).

12. Prime monomial ideals of algebras of subsemigroups of free nilpotent groups (with: T. Bauer), Israel Journal of Mathematics (2021).

13. Growth of finitely generated simple Lie algebras, Proceedings of the AMS (2021).

14. Growth, relations and prime spectrum of monomial algebras, Journal of Combinatorial Algebra (2020).

15. Five solved problems on radicals of Ore extensions (with: A. Smoktunowicz and M. Ziembowski), Publicacions Matemátiques (2019).

16. Generating adjoint groups, Proceedings of the Edinburgh Mathematical Society (2019).

17. The number of boundedly generated semigroups is super-exponential in the cardinality, Semigroup Forum (2018).

18. Growth of monomial algebras, simple rings and free subalgebras, Journal of Algebra (2017).

19. A ring with FT-rank two, Communications in Algebra (2017).

20. Free subalgebras of graded algebras (with: J. P. Bell), Journal of Algebra (2017).

21. Prime and primitive algebras with prescribed growth types, Israel Journal of Mathematics (2017).

22. Affine algebras with arbitrary simple modules, Communications in Algebra (2017).

23. Commuting graphs of boundedly generated semigroups (with: T. Bauer), European Journal of Combinatorics (2016).

24. Unions of chains of primes (with: L. H. Rowen and U. Vishne), Journal of Pure and Applied Algebra (2016).

25.  Chains of prime ideals and primitivity of Z-graded algebras (with: A Leroy, A. Smoktunowicz and M. Ziembowski), Algebras and Representation Theory (2015).

Refereed conference proceedings

26. Optimal representability results of PI-algebras: nilpotency, growth and chain conditions (with: L. Rowen and L. Small), Contemporary Mathematics (Proceeding of the Amitsur Centennial Conference), to appear (2024).

27. Growth of unbounded sets in nilpotent groups and random mapping statistics (with: H. Lavner). Séminaire Lotharingien de Combinatoire, Proceedings of FPSAC 2022.

28. Chains of semiprime and prime ideals in Leavitt path algebras (with: G. Abrams, K. M. Rangaswamy and Z. Mesyan), Contemporary Mathematics (2018).

Preprints

29. Asymptotic Burnside laws (with: G. Goffer and A. Yu. Olshanskii), preprint.

30. On the growth of modules (with: E. Zelmanov), submitted.

31. On the complexity of subshifts and infinite words (with: C. G. Moreira and E. Zelmanov), submitted.

32. Rank-stability of polynomial equations (with: T. Bauer, G. Blachar), submitted.

33. Noncommutative point spaces of symbolic dynamical systems (with: J. P. Bell), submitted.

Papers with undergraduate students

34. Modules over Fomin-Kirillov algebras and their subalgebras (with: S. Mathison, A. Saini, S. Wynn ), submitted.

35. Nilpotency and geometric structures in noncommutative algebras over finite fields (with: W. Easton, S. Ford and G. King), in preparation.

Teaching

University of Washington

• Math 441 (Topology), Fall 24

• Math 394 (Probability I), Summer 24

• Math 224 (Advanced Multivariable Calculus), Winter 24, Spring 24

University of California San Diego

• Math 109 (Mathematical Reasoning), Fall 21, Spring 22

• Math 10B (Calculus II), Spring 21

• Math 10A (Calculus I), Fall 21

• Math 103B (Rings and Fields), Winter 21, 22

• Math 103A (Groups), Summer 22

• Math 199 (Supervised Reading Course, Advanced Group Theory), Winter 23

Bar-Ilan University

• Instructor: Group Theory (Fall 20), Linear Algebra I (Summer 20), Discrete Mathematics (Summer 20)

• TA: Galois Theory (Fall 20), Linear Algebra I (Fall 20), Introduction to Probability and Statistics (Spring 20)