Curriculum Vitae

Education

• B.S. in Physics and Mathematics (with honours).

  Faculty of physics and mathematics, University of Michoacan (UMSNH), Mexico. 2013. Thesis.

• M.S. in Mathematics (with honours).

  National Autonomous University of Mexico (UNAM) Mexico. 2015. Thesis.

• Ph.D in Mathematics (with honours).

  National Autonomous University of Mexico (UNAM) Mexico. 2019. Thesis.

Work experience

• Znanstveni sodelavec (Research associate, postdoctoral).

  April 2022 - September 2024. Faculty of Mathematics and Physics, University of Ljubljana. Ljubljana, Slovenia.

  Under the supervision of profr. Primož Potočnik.

• Becario postdoctoral (Postdoctoral fellow).

  September 2020 - March 2022. Institute of Mathematics, National Autonomous University of Mexico (UNAM). Mexico City, Mexico.

  Under the supervision of profr. Isabel Hubard.

• Posdoctoral fellow.

  September 2019 - August 2020 Department of Mathematics and Statistics, York University. Toronto, ON. Canada.

  Under the supervision of profr. Asia Ivić Weiss.

Publications

Research papers

1. Voltage Operations on Maniplexes, Polytopes and Maps

   I. Hubard, E. Mochán, A. Montero. Published in Combinatorica, 2023.

   Access publication here

2. On the Schläfli symbol of chiral extensions of polytopes

   A. Montero. Published in Discrete Mathematics, 2021.

   Access publication here

3. Proper locally spherical hypertopes of hyperbolic type

   A. Montero, A. I. Weiss. Published in Journal of Algebraic Combinatorics, 2021.

   Access publication here

4. Locally spherical hypertopes from generalised cubes

   A. Montero, A. I. Weiss. Published in Art Discrete Appl. Math., 2021.

   Access publication here

5. Equivelar Toroids with Few Flag-Orbits

   J. Collins, A. Montero. Published in Discrete \& Computational Geometry, 2021.

   Access publication here

6. Regular polyhedra in the 3-torus

   A. Montero. Published in Advances in Geometry, 2018.

   Access publication here

Preprints

• Cayley extensions of maniplexes

  G. Cunningham, E. Mochán, A. Montero. Under review, 2024+.

  Access publication here

• Symmetries of voltage operations on polytopes, maps and maniplexes

  I. Hubard, E. Mochán, A. Montero. Under review, 2024+.

  Access publication here

• Chiral extensions of regular toroids

  A. Montero, D. Pellicer, M. Toledo. In preparation, 70%, 2024+.

• Vertex transitive graphs with small motion

  A. Montero, P. Potočnik. In preparation, 80%, 2024+.

Outreach papers

1. Simetrías: Las matemáticas detrás de la belleza (Symmetry: the mathematics behind beauty)

   A. Montero.

   Access publication here

2. Simetrías de polígonos, poliedros y otras policosas (Symmetries of polygons, polyhedra and other poly-things)

   A. Montero.

   Access publication here

Talks (a selection of)

The full list of talks could be accessed here.

Regular polyhedra in the $3$-torus

July 07, 2014 Slides

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)

June 29, 2016 Slides

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)

July 26, 2017 Slides

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

July 03, 2018 Slides

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?

August 10, 2019 Slides

Talk by invitation in the Cycle "Tomando ciencia" at Bar Giraluna , Morelia, Mich., Mexico .

Toros cuadriculados muy simétricos (Highly symmetric squared tori)

November 18, 2020 Slides

Invited speaker in the Encuentro Nororiental de Matemáticas 2020 (online) at University of Pamplona , Pamplona, Colombia .

Highly symmetric polytopes with prescribed local combinatorics

March 02, 2021 Slides

Talk by invitation in the Algebraic graph theory international webminar (online) .

Vertex trantisive graph with (very) small movement

February 13, 2024 Slides

Contributed talk in the Symmetries of Discrete Objects at University of Auckland , Auckland, New Zealand .