Publications

You can find all my preprints at arXiv.

1. (with Nestor Colín, Rita Jiménez Rolland and Porfirio L. León Álvarez). A spine for the Teichmüller space of a non-orientable surface with punctures. Submitted. (arXiv).

2. (with Kevin Li). A note on finiteness properties of vertex stabilisers. Submitted. (arXiv).

3. (with Nestor Colín, Rita Jiménez Rolland and Porfirio L. León Álvarez). The proper geometric dimension of the full mapping class group of a punctured orientable surface. Submitted. (arXiv).

4. ( with Mario Velásquez). On the K-theory  of groups of the form $\dbZ^n\rtimes \dbZ/m$ with $m$ free of squares. Submitted. (arXiv).

5. (with Nestor Colín, Rita Jiménez Rolland and Porfirio L. León Álvarez) On the dimension of Harer's spine for the decorated Teichmüller space. (To appear in Homology, Homotopy and Applications). (arXiv)

6. ( with Mario Velásquez). On the group cohomology  of groups of the form $\dbZ^n\rtimes \dbZ/m$ with $m$ free of squares. Submitted. (arXiv).

7. (with Yassine Guerch and Sam Hughes) Centralisers and the virtually cyclic dimension of Out(F_N). Submitted. arXiv

8. (with Omar Antolín-Camarena and Luis Eduardo García-Hernández). The classfying space for commutativity of geometric orientable 3-manifold groups. Submitted. arXiv

9. (with Porfirio L. León Álvarez and Rita Jiménez Rolland). Commensurators of abelian subgroups and the virtually abelian dimension of mapping class groups. Journal of Pure and Applied Algebra, Volume 228, Issue 6, 2024 arXiv

10. (with Sam Hughes and Eduardo Martínez-Pedroza) A survey on quasi-isometries of pairs: invariants and rigidity. To appear in Beyond Hyperbolicity/ Artin Groups, CAT(0) geometry and related topics Conference Proceedings. arXiv

11. (with Eduardo Martínez-Pedroza).  Bowditch Taut Spectrum and dimensions of groups. Michigan Math. J. Advance Publication 1 - 24, 2023. arXiv

12. (with Sam Hughes and Eduardo Martínez-Pedroza) Quasi-isometry invariance of relative filling functions. Groups Geom. Dyn.17(2023), no.4, 1483–1515. arXiv

13. (with Porfirio L. León Álvarez). Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups.  Forum Math. 34 (2022), no. 5, 1277–1296. arXiv.

14. (with Eduardo Martínez-Pedroza).  Quasi-isometric rigidity of subgroups and Filtered ends.  Algebr. Geom. Topol. 22 (2022), no. 6, 3023–3057. arXiv

15. (with Juan-Pineda, Daniel).  On the algebraic  K-theory of 3-manifold groups.  J. Pure Appl. Algebra 226 (2022), no. 7, Paper No. 106981, 22 pp. arXiv

16. (with Cristhian E. Hidber and  Alejandra Trujillo-Negrete). On the dimension of the mapping class groups of a non-orientable surface. Homology Homotopy Appl. 24 (2022), no. 1, 347–372. arXiv 

17.  On the dimension of groups that satisfy certain conditions on their finite subgroups.  Glasg. Math. J. 64 (2022), no. 1, 45–50 arXiv

18.  Groups acting on trees and the Eilenberg-Ganea problem.   Proc. Amer. Math. Soc. 148 (2020), no. 12, 5469–5479. arXiv

19. (with Eduardo Martínez-Pedroza).  Brown's criterion and classifying spaces for families.   J. Pure Appl. Algebra 224 (2020), no. 10, 106377, 17 pp.  arXiv

20. ( with Kyle Joecken and Jean-Francois Lafont).  Virtually cyclic dimension for 3-manifold groups.   Groups Geom. Dyn. 15 (2021), no. 2, 577–606.  arXiv

21. (with José Antonio Arciniega-Nevarez, and José-Luis Cisneros-Molina). Relative group  (co)homology and the comparison homomorphism. Quaest. Math. 44 (2021), no. 8, 1107–1132.  arXiv

22. ( with Mario Velásquez).  The algebraic and topological  K-theory of the Hilbert modular group.  Homology Homotopy Appl. 20.2, pp. 377–402. arXiv

23. (with Mauricio Bustamante ).  On the algebraic K-theory  of the Hilbert modular group. In: Algebr. Geom. Topol. 16.4, pp. 2107–2125.  arXiv

24. (with Juan-Pineda, Daniel ).  The K and L Theoretic Farrell-Jones Isomorphism Conjecture for Braid Groups. In: Topology and Geometric Group  Theory: Ohio State University, Columbus, USA, 2010–2011. Ed. by W. Michael Davis et al. Cham: Springer International Publishing, pp. 33–43.  arXiv

25. (with Juan-Pineda, Daniel).  On the ranks of the algebraic  K-theory of hyperbolic groups. In: Bol. Soc. Mat. Mex. (3) 20.2, pp. 277–285.  arXiv