Algebra & number theory
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- Tree languages and branched groups
- Simulations and the Lamplighter group
- Monadic second-order logic and the domino problem on self-similar graphs
- Commutator width in the first Grigorchuk group
- Right angled Artin groups and partial commutation, old and new
- Self-similar products of groups
- Amenability of groups is characterized by Myhill's Theorem. With an appendix by Dawid Kielak
- Study of nonlinear structures: quantum and fractal geometries
- Representation zeta functions of self-similar branched groups
- Lie dimension subrings
- Ordering the space of finitely generated groups
- Self-similar Lie algebras
- Homological finiteness properties of wreath products
- Imbeddings into groups of intermediate growth
- Images of Golod-Shafarevich algebras with small growth
- Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2
- (Self-)similar groups and the Farrell-Jones conjectures
- Growth of permutational extensions
- The congruence subgroup problem for branch groups
- On abstract commensurators of groups
- On amenability of automata groups
- The twisted twin of the Grigorchuk group
- Representation zeta functions of wreath products with finite groups
- Gardens of Eden and amenability on cellular automata
- A nilpotent quotient algorithm for certain infinitely presented groups and its applications