The first ℓ^2-Betti number, cost and rank gradient of few-relator random groups.
_{Joint with Eduardo Silva, 2026. [ arXiv ]}

Free Burnside groups of large odd exponent have cost 1.
_{Joint with Eduardo Silva, 2026. [ arXiv ]}

Random operators, spectral measures, and local empirical convergence in sofic groups.
_{Joint with Felix Pogorzelski and Michael Schrödl-Baumann, 2026. [ arXiv ]}

Extensibility and denseness of periodic semigroup actions.
_{Joint with Raimundo Briceño and Álvaro Bustos-Gajardo, 2025. [ arXiv ]}

Expansivity of algebraic semigroup actions.
_{Ergodic Theory Dynam. Systems (2026). [ arXiv ] [ journal ]}

Natural extensions of embeddable semigroup actions.
_{Joint with Raimundo Briceño and Álvaro Bustos-Gajardo. Groups Geom. Dyn. (2025). [ arXiv ] [ journal ]}