Publications

1. Paolo Bellingeri, Celeste Damiani, Oscar Ocampo and Charalampos Stylianakis, Powers of half-twists and congruence subgroups of braid groups, To appear in AMS Contemporary Mathematics (2026).

2. Karel Dekimpe, Daciberg Lima Gonçalves and Oscar Ocampo, The R$_\infty$-property for braid groups over orientable surfaces, Monatshefte für Mathematik 208 (2025), 1-18. 

3. Gustavo Cardoso and Oscar Ocampo, Seifert circles, crossing number and the braid index of generalized knots and links,Topology and its applications 371 (2025), article number 109351, 15pp.

4. Paolo Bellingeri, Celeste Damiani, Oscar Ocampo and Charalampos Stylianakis, Congruence subgroups of braid groups and crystallographic quotients. Part I, Journal of the Australian Mathematical Society  118(2) (2025), 145-163.

5. Karel Dekimpe, Daciberg Lima Gonçalves and Oscar Ocampo, Characteristic subgroups and the R$_\infty$ property for virtual braid groups , Journal of Algebra 663 (2025), 20-47.

6. Paulo Cesar Cerqueira dos Santos Júnior and Oscar Ocampo, Virtual braid groups, virtual twin groups and crystallographic groups, Journal of Algebra 632 (2023), 567 - 601.

7. Oscar Ocampo, Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups , Journal of Knot Theory and its Ramifications 30(9) (2021), 2150069.

8. Karel Dekimpe, Daciberg Lima Gonçalves and Oscar Ocampo, The R_∞ property for pure Artin braid groups, Monatshefte für Mathematik, 195(1) (2021), 15-33. 

9. Daciberg Lima Gonçalves, John Guaschi, Oscar Ocampo and Carolina Pereiro, Crystallographic groups and flat manifolds from surface braid groups, Topology and its applications 293 (2021), article number 107560, 16pp.

10. Oscar Ocampo and José Gregorio Rodríguez-Nieto, Almost-crystallographic subgroups of $B_n/\Gamma_3(P_n)$ and infra-nilmanifolds with cyclic holonomy, Topology and its applications 293 (2021), article number 107563, 15pp.

11. Oscar Ocampo and Paulo Cesar Cerqueira dos Santos Júnior, The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient $B_n/[P_n,P_n]$, Topology and its applications 293 (2021), article number 107564, 15pp.

12. Daciberg Lima Gonçalves, John Guaschi and Oscar Ocampo, Embeddings of finite groups in B_n/Γ_k(P_n) for k=2,3, Annales de l'Institut Fourier 70(5)  (2020), 2005-2025.

13. Oscar Ocampo and José Gregorio Rodríguez-Nieto, On Bieberbach subgroups of $B_n/[P_n,P_n]$ and flat manifolds with cyclic holonomy $Z_{2^d}$ Topology and its applications 265 (2019), article number 106827, 12 pp.

14. Daciberg Lima Gonçalves, John Guaschi and Oscar Ocampo, Almost-crystallographic groups as quotients of Artin braid groups,  Journal of Algebra 524 (2019), 160–186.  

15. Daciberg Lima Gonçalves, John Guaschi and Oscar Ocampo, A quotient of the Artin braid groups related to crystallographic groups, Journal of Algebra 474 (2017), 393–423.  

16. Oscar Ocampo, Commensurator subgroups of surface groups.  Revista Colombiana de Matemáticas, v. 44 (2010), 1-13.

17. Oscar Ocampo,  O grupo de túnel: estendendo a noção de grupo de tranças.  Lecturas Matemáticas, v. 30 (2009), 73-84.

Pre-prints

1. Agustín Moreno Cañadas, Oscar Ocampo and José Gregorio Rodríguez-Nieto, Solutions of the Yang-Baxter equations arising from some covering graphs of Brauer configuration algebras (2025).

2. Daniel Juan-Pineda and Oscar Ocampo, Virtual Artin groups and the Farrell-Jones Isomorphism Conjecture (2025).

3. Oscar Ocampo, José Gregorio Rodríguez-Nieto and Olga Patricia Salazar-Díaz, Skew-symmetric augmented matrices and a characterization of virtual doodles (2024).

4. Renato Diniz, Oscar Ocampo and Paulo Cesar Cerqueira dos Santos Júnior, Coxeter-type quotients of surface braid groups (2024).

5. John Guaschi and Oscar Ocampo, Almost-Brunnian braids over surfaces, simplicial structures and the homotopy groups of the sphere (2024).

6. Paolo Bellingeri, Celeste Damiani, Oscar Ocampo and Charalampos Stylianakis, Congruence subgroups of braid groups and crystallographic quotients. Part II (2024).

7. Kisnney Almeida, Igor Lima and Oscar Ocampo, Subgroup separability of surface braid groups and virtual braid groups (2023), arXiv:2310.00478.

8. Oscar Ocampo and Juliana Roberta Theodoro de Lima, Bi-ordering almost-direct products of (reduced) free groups (2022), arXiv:2209.04706.

9. Oscar Ocampo, On Virtual singular braid groups (2022), arXiv:2207.13885.