Research Interests
My research is focused on algebra, particularly group theory and Lie algebras. Here are a few topics that I am usually thinking about:
Combinatorial and geometric group theory.
Finiteness properties of groups and Lie algebras (e.g. finite presentability, type FPn, BNSR-invariants).
Constructions of homological nature: non-abelian tensor products, Sidki's construction, ...
Gröbner-Shirshov bases.
Generalized torsion.
Publications
Generalized torsion elements in infinite groups (with R. Bastos)
To appear in Proc. AMS, arXiv
Compact p-adic analytic groups in which centralizers are abelian (with T.S. Weigel and T. Zapata)
Some applications of Gröbner-Shirshov bases to Lie algebras.
J. Pure Appl. Algebra (2025), arXiv
Free polynilpotent groups and the Magnus property (with B. Klopsch and J.M. Petschick)
Forum Math. (2023), arXiv
On the Bieri-Neumann-Strebel-Renz Σ-invariants of the Bestvina-Brady groups (with D.H. Kochloukova)
Forum Math. (2022), arXiv
Weak commutativity for pro-p groups (with D.H. Kochloukova)
Monatsh. Math. (2021), arXiv
Weak commutativity and nilpotency.
J. Algebra (2020), arXiv
The weak commutativity construction for Lie algebras.
J. Algebra (2019), arXiv
On the Σ-invariants of wreath products,
Pacific J. Math. (2019), arXiv