Research
Publications
Infinitely many Riemann surfaces with transitive action on Weierstrass points
(joint work with P. Speziali)
Bull. London Math. Soc. (2024)
doi: 10.1112/blms.13088
Abelian varieties and Riemann surfaces with generalized quaternion group action
(joint work with A. Carocca and R. E. Rodríguez)
J. Pure Applied Algebra 227, 11, (2023) 107398.
doi: 10.1016/j.jpaa.2023.107398
On large prime actions on Riemann surfaces
J. Group Theory 25 (5), 887-940 (2022)
doi: 10.1515/jgth-2020-0140
(joint work with A. M. Rojas)
Nilpotent groups of automorphisms of families of Riemann surfaces
Ann. Mat. Pura Appl. 201, 359–377 (2022)
doi: 10.1007/s10231-021-01119-0
Riemann surfaces of genus 1+q^2 with 3q^2 automorphisms
J. Algebra 588, 440-470 (2021)
doi: 10.1016/j.jalgebra.2021.09.001
(joint work with A. Carocca)
Groups of automorphisms of Riemann surfaces and maps of genus p+1 where p is prime
Ann. Fenn. Math. 46 (2), 839–867 (2021).
doi: 10.5186/aasfm.2021.4649
(joint work with M. Izquierdo and G. A. Jones).
A note on Jacobians of quasiplatonic Riemann surfaces with complex multiplication
Geom. Dedicata 213, 245–249 (2021)
doi: 10.1007/s10711-020-00577-9
On families of Riemann surfaces with automorphisms
J. Pure Applied Algebra 224 no. 10, 106704 (2021)
doi: 10.1016/j.jpaa.2021.106704
(joint work with M. Izquierdo and A. M. Rojas)
On pq-fold regular covers of the projective line
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 115, 23 (2021)
doi: 10.1007/s13398-020-00965-6
A family of (p,n)-gonal Riemann surfaces with several (p,n)-gonal groups
Arch. Math. (Basel) 116 (2021), no. 3, 302-305.
doi: 10.1007/s00013-020-01548-y
On Riemann surfaces of genus g with 4g-4 automorphisms
Israel J. Math. 237, 415–436 (2020)
doi: 10.1007/s11856-020-2010-3
A note on large automorphism groups of compact Riemann surfaces
J. Algebra 547 (2020), 1-21.
(joint work with M. Izquierdo)
doi: 10.1016/j.jalgebra.2019.11.012
On Jacobians with group actions and coverings
Math. Z. 294 (2020) 209-227
doi: 10.1007/s00209-019-02263-3
(joint work with R. E. Rodríguez)
A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19 (2019), no. 2, 705–722.
doi: 10.2422/2036-2145.201706_003
(joint work with R. E. Rodríguez)
On the one-dimensional family of Riemann surfaces of genus q with 4q automorphisms
J. of Pure and Appl. Algebra 223, no. 5 (2019), 2123-2144.
doi: 10.1016/j.jpaa.2018.07.011
On the connectednes of the moduli space of principally polarized abelian varieties
Moscow Math. J. 18 (2018) , no. 3, 473-489.
doi: 10.17323/1609-4514-2018-18-3-473-489
(joint work with R. E. Rodríguez)
Families of Riemann surfaces, uniformization and arithmeticity
Trans. Amer. Math. Soc. 370 (2018), no. 3, 1529–1549.
doi: 10.1090/tran/6988
(joint work with G. González-Diez)
Quasiplatonic curves with symmetry group Z_2^2 \rtimes Z_m are definable over Q
Bull. London Math. Soc. 49 (2017) 165–183
doi: 10.1112/blms.12014
(joint work with R. A. Hidalgo, L. Jiménez and S. Quispe)
The arithmeticity of a Kodaira fibration is determined by its universal cover
Comment. Math. Helv. 90 (2015), no. 2, 429-434
doi: 10.4171/CMH/359
(joint work with G. González-Diez)
Field of moduli and generalized Fermat curves
Rev. Colombiana Mat. 47 (2013), no. 2, 205-221
(joint work with R. A. Hidalgo and M. E. Valdés).
Fields of moduli of classical Humbert curves
Q. J. Math. 63 (2012), no. 4, 919-930
doi: 10.1093/qmath/har017
(joint work with R. A. Hidalgo)
Field of moduli of generalized Fermat curves
Q. J. Math. (2012), no. 2, 467-475.
doi: 10.1093/qmath/haq049
Publications in conference proceedings
Complex surfaces with mutually non-biholomorphic universal covers
Contemp. Math. 766, 153-162 (2021)
doi: 10.1090/conm/766/15380
(joint work with G. González-Diez)
Weil's Galois descent theorem; a computational point of view
Contemp. Math. 766, 217-228 (2021)
doi: 10.1090/conm/766/15383
(joint work with R. A. Hidalgo).
Fiber products of Riemann surfaces
Contemp. Math. 776, 161-175 (2022)
doi: 10.1090/conm/776/15611
(joint work with R. A. Hidalgo and A. Vega)
Preprints
On non-normal subvarieties of the moduli space of Riemann surfaces
(joint work with R. A. Hidalgo, J. Paulhus and A. M. Rojas)
Classifying compact Riemann surfaces by number of symmetries
(joint work with P. Speziali)
On the Jacobian variety of the Accola-Maclachlan curve of genus four
(joint work with R. Auffarth and A. M. Rojas)