Voltage Operations on Maniplexes, Polytopes and Maps
I. Hubard, E. Mochán, A. Montero. Published in Combinatorica, 2023.
Curriculum Vitae
Education
- B.S. in Physics and Mathematics (with honours).
- M.S. in Mathematics (with honours).
- Ph.D in Mathematics (with honours).
Work experience
- Znanstveni sodelavec (Research associate, postdoctoral).
- Becario postdoctoral (Postdoctoral fellow).
- Posdoctoral fellow.
Publications
Research papers
On the Schläfli symbol of chiral extensions of polytopes
A. Montero. Published in Discrete Mathematics, 2021.
Proper locally spherical hypertopes of hyperbolic type
A. Montero, A. I. Weiss. Published in Journal of Algebraic Combinatorics, 2021.
Locally spherical hypertopes from generalised cubes
A. Montero, A. I. Weiss. Published in Art Discrete Appl. Math., 2021.
Equivelar Toroids with Few Flag-Orbits
J. Collins, A. Montero. Published in Discrete \& Computational Geometry, 2021.
Regular polyhedra in the 3-torus
A. Montero. Published in Advances in Geometry, 2018.
Preprints
Cayley extensions of maniplexes
G. Cunningham, E. Mochán, A. Montero. Under review, 2024+.
Symmetries of voltage operations on polytopes, maps and maniplexes
I. Hubard, E. Mochán, A. Montero. Under review, 2024+.
Vertex-transitive graphs with small motion and transitive permutation groups with small minimal degree
A. Montero, P. Potočnik. Under review, 2024+.
Chiral extensions of regular toroids
A. Montero, M. Toledo. Under review, 2024+.
Outreach papers
Talks (a selection of)
The full list of talks could be accessed here.
-
Regular polyhedra in the $3$-torus
Contributed talk in the 5th Workshop Symmetries in Graphs Maps and Polytopes (SIGMAP) at ELIM Conference Centre , West Malvern, U.K. .
-
Toros cuadriculados y sus simetrías (Squared tori and their symmetries)
Invited speaker in the 16th Summer school in mathematics CCM - UNAM at Centro de Ciencias Matemáticas, UNAM Morelia , Morelia, Mich. Mexico .
-
Cubos de colores y otras cosas similares (Coloured cubes and some other similar objects)
Invited speaker in the 2nd Summer school of symmetries of combinatorial structures at Unidad Cuernavaca del Instituto de Matemáticas, UNAM , Cuernavaca, Mor. Mexico .
-
Chiral extensions of regular toroids
Contributed talk in the 8th PhD Summer School in Discrete Mathematics at Hotel Planja , Rogla, Slovenia . This talk was awarded with the Best student's talk award.
-
¿Qué ch*****os hace un matemático puro y por qué les pagamos por ello?
Talk by invitation in the Cycle "Tomando ciencia" at Bar Giraluna , Morelia, Mich., Mexico .
-
Toros cuadriculados muy simétricos (Highly symmetric squared tori)
Invited speaker in the Encuentro Nororiental de Matemáticas 2020 (online) at University of Pamplona , Pamplona, Colombia .
-
Highly symmetric polytopes with prescribed local combinatorics
Talk by invitation in the Algebraic graph theory international webminar (online) .
-
Vertex trantisive graph with (very) small movement
Contributed talk in the Symmetries of Discrete Objects at University of Auckland , Auckland, New Zealand .