Researcher · UFRO
Saúl Quispe
Assistant Professor
Department of Mathematics and Statistics · Universidad de La Frontera
Biography
Saúl Quispe is an Assistant Professor in the Department of Mathematics and Statistics at Universidad de La Frontera (Temuco, Chile). He completed his undergraduate studies at Universidad Autónoma Tomás Frías (Bolivia), his M.Sc. at Universidad de Talca (Chile), and obtained his Ph.D. in Mathematics from Universidad de Concepción (Chile) in 2013, with a thesis in the area of algebraic geometry. His research interests span algebraic geometry, dynamical systems and Riemann and Klein surfaces, with particular emphasis on fields of moduli and fields of definition of Riemann surfaces and rational maps, as well as the study of infinite-type surfaces. He maintains active collaborations with researchers from Latin America, North America and Europe.
Research Areas
Algebraic Geometry
Dynamical Systems
Number Theory
Riemann and Klein Surfaces
Planar surfaces (infinite-genus surfaces)
Publications
On the fiber product of noncompact Riemann surfaces
Ann. Fenn. Math. Vol. 51 (2026), no. 1, 127–144.
Generalized quasi-dihedral group as automorphism group of Riemann surfaces
Transform. Groups Vol. 31 (2026), no. 1, 705–736.
Generalized superelliptic Riemann surfaces
Transform. Groups Vol. 31 (2026), no. 2, 1557–1569.
Quasi-abelian group as automorphism group of Riemann surfaces
Manuscripta Math. Vol. 175 (2024), no. 1-2, 591–616.
Dessins d'enfants and some holomorphic structures on the Loch Ness monster
Q. J. Math. Vol. 73 (2022), no. 1, 349–367.
Regular dessins d'enfants with dicyclic group of automorphisms
J. Pure Appl. Algebra Vol. 224 (2020), no. 5, Paper No. 106242, 9 pp.
Riemann surfaces defined over the reals
Arch. Math. (Basel) Vol. 110 (2018), no. 4, 351–362.
A note on the connectedness of the branch locus of rational maps
Glasg. Math. J. Vol. 60 (2018), no. 1, 199–207.
Rational points in the moduli space of genus two
Contemp. Math., Vol. 703, Amer. Math. Soc., 2018, pp. 83–115.
A tower of Riemann surfaces which cannot be defined over their field of moduli
Glasg. Math. J. Vol. 59 (2017), no. 2, 379–393.
Automorphism groups of pseudoreal Riemann surfaces
J. Pure Appl. Algebra Vol. 221 (2017), no. 9, 2383–2407.
Quasiplatonic curves with symmetry group ℤ²₂ × ℤm are definable over ℚ
Bull. Lond. Math. Soc. Vol. 49 (2017), no. 1, 165–183.
Regular dessins d'enfants with field of moduli ℚ(√2)
Ars Math. Contemp. Vol. 13 (2017), no. 2, 323–330.
Fields of moduli and fields of definition of odd signature curves
Arch. Math. (Basel) Vol. 99 (2012), no. 4, 333–344.
Research Grants
FONDECYT Regular · 1220261
Dessins d'enfants on surfaces of infinite type
FONDECYT Iniciación · 11170129
Field of moduli vs fields of definition of Riemann surfaces and rational maps
Outreach and Extension
This section is under construction.
Outreach and extension activities will be added soon.
Graduate Supervision
Graduated Students
Yerika Marín Montilla
Advisor
Ph.D. in Mathematical Sciences · Universidad de La Frontera, Temuco, Chile
Thesis: Generalized quasi-Dihedral and quasi-Abelian groups actions on Riemann/Klein surfaces
Yasmina Atarihuana
Co-advisor
Ph.D. in Mathematical Sciences · Universidad de La Frontera, Temuco, Chile
Thesis: On the Connectivity of the Branch and Real Locus of M0,[n+1]
Juan Carlos García
Co-advisor
Ph.D. in Mathematical Sciences · Universidad de La Frontera, Temuco, Chile
Thesis: A Remark on Z-orientability of Kleinian Groups