Page
containing the
programs
(for
GAP) and results of the computations concerning this article.
On a conjecture of Whittaker concerning
uniformization
of hyperelliptic curves (with Gabino González Diez).
Trans.
Amer. Mat. Soc. 356, Number 2 (2004), 691-702.
Effective
Estimates for the
Distribution of Values of Euler Products, (with
Jörn Steuding). Monatsh. Math. 145 (2005), no.
2, 97-106.
Conjugators
of Fuchsian groups and Quasiplatonic
surfaces, (with Jürgen Wolfart). Q. J. Math. 56
(2005), no. 4, 525-540.
Page
containing many figures
related to this article (always under construction).
On the structure of Whittaker sublocus
of
moduli
space of algebraic curves (with Gabino González Diez). Proc.
Roy. Soc. Edinburgh Sect. A 136 (2006), no. 2, 337-346.
A note on the action of the absolute Galois group on dessins (with Gabino González Diez). Bull. London Math. Soc. 39 (2007), 721-723.
Compact non-orientable hyperbolic surfaces with an extremal metric disc (with Gou Nakamura). Conformal Geometry and
Dynamics 11 (2007), 29-43.
Right triangles with algebraic sides and elliptic curves over number fields (with Gabino González-Diez, Enrique González-Jimenez, Rasa Steuding and Jörn Steuding). Math. Slovaca 59 (2009), no. 3, 299–306.
On complex curves and complex surfaces defined over number fields (with Gabino González Diez). Teichmüller theory and moduli problem, 247–280, Ramanujan Math. Soc. Lect. Notes Ser., 10, Ramanujan Math. Soc., Mysore, 2010.
Introductory to compact Riemann surfaces and dessins d’enfants (with Gabino González Diez). London Mathematical Society Student Texts (No. 79), Cambridge University Press.
Genus 2 Belyi surfaces with a unicellular uniform dessin (with David Torres). To appear in Geometriae Dedicata.
Shimura curves with many uniform dessins (with David Torres and Jürgen Wolfart). To appear in Math. Z.
Selected talks
Triangle Groups and curves with many automorphisms. AMS Meeting: Automorphisms of curves. Tucson, 2007. PDF file.
Uniform dessins in genus 2. The Grothendieck-Teichmüller Theory of Dessins d'Enfants. ICMS, Edinburgh, 2008. PDF file.
Dessins d’enfants. 40 años de Geometría en las Autónomas UAM, 2008. PDF file.
Low genus Belyi surfaces with multiple uniform dessins d’enfants of the same signature. 25th Nordic and 1st British-Nordic congress of Mathematicians. Special session: Group Theory - Group Actions. Oslo, 2009. PDF file.
Algebraic equations of genus 2 Riemann surfaces with a hyperelliptic uniform dessin. 2009 Fall Eastern AMS Section Meeting. Special session: Automorphisms of Riemann Surfaces and Related Topics. Penn State University, 2009. PDF file.
