Notes on coauthors: *: PhD student while doing the research, **: masters student while doing the research, ***: Honours student while doing the research.

Chapter in books

1. I. Douglas**, I. Hubard, D. Pellicer, S. Wilson. The Twist Operator on Maniplexes. In Springer Contributed Volume on Discrete Geometry and Symmetry. Springer (2018), 127-145. 

2. I. Hubard, D. Leemans. Chiral polytopes and Suzuki simple groups. In Symmetry and Rigidity, Fields Institute Communications Series, volume 70. Springer (2014), 155–176.
   
   Papers in Journals

3. I. Hubard, E. Mochán, A. Montero. Voltage operations on maniplexes. Combinatorica.  (2023). https://doi.org/10.1007/s00493-023-00018-7 https://arxiv.org/abs/2202.05380

4. I. Hubard, E. Mochán*.  All polytopes are coset geometries: characterizing automorphism groups of k-orbit abstract polytopes. European Journal of Combinatorics. 113 (2023). https://doi.org/10.1016/j.ejc.2023.103746.

5. I. Hubard, E. Mochán*. Automorphism Groups of 3-Orbit Polyhedra. Journal of Algebraic Combinatorics. 56, 659–690 (2022). https://doi.org/10.1007/s10801-022-01127-0

6. I. Gleason*, I. Hubard. The antiprism of an abstract polytope, Ars Math. Contemp. (2021), doi:10.26493/1855-3974.2584.68d.

7. J. Bracho, I. Hubard, D. Pellicer. Chiral polyhedra in 3-dimensional geometries, and from a Petrie-Coxeter construction. Discrete and Computational Geometry. Volume 66, Issue 3 (2021), 1025-1052.

8. Hubard I, Ramos-Rivera A*, Šparl P. Arc-transitive maps with underlying Rose Window graphs. J Graph Theory. Volume 96, Issue 2 (2021), 203–230.

9. J. Garza-Vargas***, I. Hubard. Politopality of Maniplexes. Discrete Mathematics, 341, issue 7 (2018), 2068-2079.

10. D. Catalano, M.E. Fernandes, I. Hubard, D. Leemans. Hypertopes with tetrahedral diagram. The Electronic Journal of Combinatorics, 25 (2018).

11. I. Gleason***, I. Hubard. Products of abstract polytopes. Journal of Combinatorial Theory A, 157 (2018), 287-320.

12. J. Bracho, I. Hubard, D. Pellicer. Realising equivelar toroids of type {4,4}. Discrete & Computational Geometry 55, Issue 4 (2016), 934-954

13. M. Conder, I. Hubard, E. O`Reilly, D. Pellicer. Construction of chiral 4-polytopes with alternating or symmetric automorphism group. Journal of Algebraic Combinatorics, 42 Issue 1 (2015), 225-244.

14. J.L. Arocha, J. Bracho, N. García-Colin, I. Hubard. Reconstructing surface triangulations by their intersection matrix. Discussiones Mathematicae Graph Theory 35 (2015) 483–491.

15. G. Cunningham, M. del Río-Francos*, I. Hubard, M. Toledo**. Symmetry type graphs of polytopes and maniplexes. Annals of Combinatorics, 19 Issue 2 (2015), 243-268.

16. I. Hubard, M. Mixer, D. Pellicer, A.I. Weiss. Cubic tessellations of the helicosms. Discrete & Computational Geometry, 54 Issue 3 (2015), 686-704.

17. A. Arroyo, I. Hubard, K. Kutnar, E. O`Reilly, P. Sparl. Classification of symmetric Tabačjn graphs. Graphs and Combinatorics, 31 Issue 5 (2015), 1137-1153.

18. G. Araujo-Prado, I. Hubard, D. Oliveros, E. Schulte. Colorful Associahedron and cyclohedra. Journal of Combinatorial Theory, Series A, 129 (2015), 122-141.

19. J. Bracho, I. Hubard, D. Pellicer. A finite chiral 4-polytope in R4. Discrete and Computational Geometry, 52 Issue 4 (2014), 799-805.

20. I. Hubard, M. Mixer, D. Pellicer, A.I. Weiss. Cubic tessellations of the didicosm.  Advances in Geometry, 14 no 2 (2014), 299–318.

21. I. Hubard, A. Orbanic, T. Pisanski, M. del Río-Francos*. Medial symmetry type graphs. The Electronic Journal of Combinatorics, 20 no. 3 (2013), Paper 29.

22. G. Araujo-Prado, I. Hubard, D. Oliveros, E. Schulte. Colorful polytopes and graphs. Israel Journal of Mathematics, 195  (2013), 647–675.

23. I. Hubard, A. Orbainc, D. Pellicer, A.I. Weiss. Symmetries of equivelar 4-toroids. Discrete and Computational Geometry, 48 (2012), 1110–1136.

24. M. del Río-Francos**, I. Hubard, D. Oliveros, E. Schulte. Symmetric Graphicahedra. Ars Mathematica Contemporanea, 5 (2012), 383–405. 

25. M. Hartley, I. Hubard, D. Leemans. Two atlases of abstract chiral polytopes. Ars Mathematica Contemporanea, 5 (2012), 371–382. 

26. M. Hartley, I. Hubard, D. Leemans. Regular 4-polytopes from the Livingstone graph of Janko’s first group. Journal of Algebraic Combinatorics, 35 (2012), 193–214.

27. I. Hubard. Two-orbit polyhedra from groups. European Journal of Combinatorics, 31 no. 3 (2010),  943–960. 

28. I. Hubard, A. Orbanic, A.I. Weiss. Monodromy groups and self-invariance. Canadian Journal of Mathematics, 61 no. 6 (2009),  1300–1324.

29. M. Conder, I. Hubard, T. Pisanski. Constructions for Chiral Polytopes. Journal of the London Mathematical Society, 77 no. 2 (2008), 115–129.

30. I. Hubard, E. Schulte, A.I. Weiss. Petrie-Coxeter polyhedra revisited. Contributions to Algebra and Geometry, 47 (2006), 329–343.

31. I. Hubard, A.I Weiss. Self-duality of chiral polytopes. Journal of Combinatoric Theory Series A, 111 (2005),128–136.

Prerpints

• M. Conder, I.Hubard, E. O'Reilly-Reguero.  Construction of chiral polytopes of large rank with alternating or symmetric automorphism group. (2023)

• I. Hubard, M. Toledo.  Sparse groups need not be semisparse. (2023) Arxiv.

Conference journal and extended abstracts  (with peer review)

1. J. Arocha, J. Bracho, N. García-Colín, I. Hubard. A characterization of triangulations of closed surfaces. The Seventh European Conference on Combinatorics, Graph Theory and Applications CRM Series Volume 16, 2013, pp 221-226

2. I. Hubard, P. Taslakian. Deflating Polygons to the Limit. Proceeding of the 22nd Canadian Conference in Computational Geometry (2010), 67--70.

Cites (in Spanish)