On the complexity of subshifts and infinite words (with: C. G. Moreira and E. Zelmanov), Journal of the European Mathematical Society (accepted). Python code.
Rank-stability of polynomial equations (with: T. Bauer, G. Blachar), IMRN (accepted).
Noncommutative point spaces of symbolic dynamical systems (with: J. P. Bell), Advances in Mathematics (2025).
The quantitative Kurosh problem, Forum of Mathematics, Sigma (2025).
The finite presentation problem for Noetherian algebras, Journal of Algebra (2025).
Conjugacy growth of free nilpotent groups, International Journal of Algebra and Computation (2024).
A note on the Zariski topology on groups (with: G. Goffer), Journal of Algebra (2024).
Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth (with: E. Zelmanov), Advances in Mathematics (2023).
Gaps and approximations in the space of growth functions, Selecta Mathematica (N. S.) (2023).
Stable finiteness does not imply linear soficity, Math. Proc. Cambridge Phil. Soc. (2023).
Amenability of monomial algebras, minimal subshifts and free subalgebras (with: J. P. Bell), IMRN (2023).
Affine Noetherian algebras, filtrations and presentations, Proceedings of the AMS (2023).
Growth of unbounded subsets in nilpotent groups, random mapping statistics, and geometry of group laws (with: H. Lavner), IMRN (2023).
First-order rigidity of rings satisfying polynomial identities, Annals of Pure and Applied Logic (2022).
Prime monomial ideals of algebras of subsemigroups of free nilpotent groups (with: T. Bauer), Israel Journal of Mathematics (2021).
Growth of finitely generated simple Lie algebras, Proceedings of the AMS (2021).
Growth, relations and prime spectrum of monomial algebras, Journal of Combinatorial Algebra (2020).
Five solved problems on radicals of Ore extensions (with: A. Smoktunowicz and M. Ziembowski), Publicacions Matemátiques (2019).
Generating adjoint groups, Proceedings of the Edinburgh Mathematical Society (2019).
The number of boundedly generated semigroups is super-exponential in the cardinality, Semigroup Forum (2018).
Growth of monomial algebras, simple rings and free subalgebras, Journal of Algebra (2017).
A ring with FT-rank two, Communications in Algebra (2017).
Free subalgebras of graded algebras (with: J. P. Bell), Journal of Algebra (2017).
Prime and primitive algebras with prescribed growth types, Israel Journal of Mathematics (2017).
Affine algebras with arbitrary simple modules, Communications in Algebra (2017).
Commuting graphs of boundedly generated semigroups (with: T. Bauer), European Journal of Combinatorics (2016).
Unions of chains of primes (with: L. H. Rowen and U. Vishne), Journal of Pure and Applied Algebra (2016).
Chains of prime ideals and primitivity of Z-graded algebras (with: A Leroy, A. Smoktunowicz and M. Ziembowski), Algebras and Representation Theory (2015).
Optimal representability results of PI-algebras: nilpotency, growth and chain conditions (with: L. Rowen and L. Small), Contemporary Mathematics 800 (Proceeding of the Amitsur Centennial Conference) (2024).
Growth of unbounded sets in nilpotent groups and random mapping statistics (with: H. Lavner). Séminaire Lotharingien de Combinatoire, Proceedings of FPSAC 2022.
Chains of semiprime and prime ideals in Leavitt path algebras (with: G. Abrams, K. M. Rangaswamy and Z. Mesyan), Contemporary Mathematics (2018).
Asymptotic Burnside laws (with: G. Goffer and A. Yu. Olshanskii), submitted.
On the growth of modules (with: E. Zelmanov), submitted.
Associative envelopes of superconformal Jordan superalgebras (with: J. J. Zhang), preprint.
The speed of random walks on semigroups (with: G. Blachar), submitted.
Complexity and recurrence of infinite words and related structures (with: C. G. Moreira and E. Zelmanov), submitted.
Modules over Fomin-Kirillov algebras and their subalgebras (with: S. Mathison, A. Saini and S. Wynn), Involve, a journal of mathematics (accepted).
Nilpotent elements, noncommutative points and base field sensitivity (with: W. Easton, S. Ford and G. King), Journal of Algebra (accepted).