Partial rigidity and q-additive functions, Submitted 2026.
Infinite prime sumsets in structured and U^k(Φ)-uniform sets, (joint with Felipe Hernández) Submitted 2026.
Infinite sumsets in U^k(Φ)-uniform sets, Submitted 2026.
On density analogs of Hindman's finite sums theorem, (joint with Felipe Hernández and Ioannis Kousek) Submitted 2025.
Multiple partial rigidity rates in low complexity subshifts, to appear in Ergodic Theory and Dynamical Systems (Arxiv 2025).
Infinite unrestricted sumsets in subsets of abelian groups with large density, (joint with Dimitrios Charamaras, Ioannis Kousek, Andreas Mountakis), International Mathematics Research Notices 2026.
Infinite unrestricted sumsets of the form B+B in sets with large density (joint with Ioannis Kousek), Bulletin of the London Mathematical Society 2024. (Arxiv 2024).
On partial rigidity of S-adic subshifts (joint with Sebastián Donoso and Alejandro Maass), Ergodic Theory and Dynamical Systems 2025. (Arxiv 2023).