Papers:
2025
2024
Quasi-abelian group as automorphism group of Riemann surfaces, with R. A. Hidalgo and Y. Marín Montilla, Manuscripta math., 175 (2024), 591-616.
2022
Dessins d'enfants and some holomorphic structures on the Loch Ness monster, with Y. Atarihuana, J.C. García, R. A. Hidalgo and C. Ramirez-Maluendas, Quarterly Journal of Mathematics, 00 (2021), 1-19.
2021
On real and pseudo-real rational maps, with R. A. Hidalgo, Nonlinearity, 34 (2021), 6248-6272.
2020
Regular dessins d'enfants with dicyclic group of automorphisms, with Ruben A. Hidalgo, Journal of Pure and Applied Algebra, 224 (2020), no. 5, 106242
2018
Riemann surfaces defined over the reals, with Eslam Badr and Ruben A. Hidalgo, Archiv der Mathematik 110 (2018), 351–362.
A note on the connectedness of the branch locus of rational maps, with R. A. Hidalgo, Glasgow Mathematical Journal 60 (2018), no. 1, 199–207.
Rational points in the moduli space of genus two, with L. Beshaj, R. Hidalgo, S. Kruk, A. Malmendier, and T. Shaska. Higher genus curves in mathematical physics and arithmetic geometry, 83–115, Contemporary Mathematics 703, Amer. Math. Soc., Providence, RI, (2018).
2017
Automorphism group of pseudo-real Riemann surfaces, with M. Artebani and C. Reyes, Journal of Pure and Applied Algebra 221 (2017), no. 9, 2383–2407.
Regular dessins d’enfants with field of moduli Q(\sqrt[p]{2}), with R. A. Hidalgo, Ars Mathematica Contemporanea 13 (2017), no. 2, 323–330.
Quasiplatonic curves with symmetry group Z^2xZm are definable over Q, with R. A. Hidalgo, L. Jimenez, S. Reyes-Carocca, Bulletin of the London Mathematical Society 49 (2017), 165– 183.
A tower of Riemann surfaces which cannot be defined over their field of moduli, with R. A. Hidalgo, M. Carvacho, M. Artebani, Glasgow Mathematical Journal 59 (2017), no. 2, 379–393.
2016
Jacobian variety of generalized Fermat curves, with R. A. Hidalgo and M. Carvacho, Quar- terly Journal of Mathematics 67 (2016), no. 2, 261–284.
Fields of moduli of some special curves, with R. A. Hidalgo, Journal of Pure and Applied Algebra 220 (2016), 55–60.
2012
Fields of moduli and fields of definition of odd signature curves, with M. Artebani, Archiv der Mathematik 99 (2012), 333–344.
Preprints:
Generalized quaternion groups as groups of automorphisms of Riemann surfaces, with Ruben A. Hidalgo.
On generalized superelliptic Riemann surtaces, with Ruben A. Hidalgo and Tony Shaska.
2-groups as automorphism group of Riemann surfaces.