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- Selberg, Ihara and Berkovich
- The Thue-Morse substitutions and self-similar groups and algebras
- An algorithm for uniform generation of unlabeled (Pólya) trees
- Equations in wreath products
- Groups with property (T) and many alternating group quotients
- Connectedness of a space of branched coverings with a periodic cycle
- On commutator length in free groups
- Homotopy groups of spheres and dimension quotients
- 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
- A new hierarchy for automaton semigroups
- 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