Selected papers

Below you find a slection my papers (published and preprints). You find the complete list of my papers here.

1. Polish topologies for graph products of groups, with Saharon Shelah. 

J. Lond. Math. Soc. 100 (2019), no. 2, 383-403. [arXiv][DOI]

2. Torsion-free abelian groups are Borel complete, with Saharon Shelah.

Ann. of Math. (2) 199 (2024), no. 3, 1177-1224. [arXiv][DOI]

3. The isomorphism problem for oligomorphic groups with weak elimination of imaginaries.

Bull. Lond. Math. Soc. 56 (2024), no. 8, 2597-2614.

4. Torsion-free abelian groups are faithfully Borel complete and pure embeddability is a complete analytic quasi-order, with Saharon Shelah.

Sci. China Math. 68 (2025), no. 12, 2809-2814. [arXiv][DOI]

5. Profinite rigidity of affine Coxeter groups, with Rizos Sklinos.

Submitted. [arXiv]

6. Around first-order rigidity of Coxeter groups, with Simon André.

Submitted. [arXiv]

7. Homogeneity in Coxeter groups and split crystallographic groups, with Simon André.

Submitted. [arXiv]

8. Elementary properties of free lattices II: Decidability of the universal theory, with J. B. Nation.

Submitted. [arXiv]

9. A new construction principle, with Tapani Hyttinen and Davide Emilio Quadrellaro.

Submitted. [arXiv]

10. Profinite rigidity of crystallographic groups arising from Lie theory, with Davide Carolillo.

Submitted. [arXiv]

11. Borel completeness of Tits buildings with no rank 3 residues of spherical type, with Davide Emilio Quadrellaro.

Submitted. [arXiv]

12. Oligomorphic groups, their automorphism groups, and the complexity of their isomorphism, with Andre Nies.

Submitted. [arXiv]

13. The epimorphism relation among countable groups is a complete analytic quasi-order, with Su Gao, Feng Li and André Nies.

Submitted. [arXiv]