Genera of arithmetic Fuchsian groups
Generalized Hecke groups and Hecke polygons.
Genus 3 normal coverings of the Riemann sphere branched over 4 points.
In this paper we study the 5 families of genus 3 compact Riemann surfaces which are normal coverings of the Riemann sphere branched over 4 points from very different aspects: their moduli spaces, the uniform Belyi functions that factorize through the quotient by the automorphism groups and the Weierstrass points of the non hyperelliptic families.
Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms
Geodesics on Riemann surfaces with ramification points of order greater than two.
Geometry of Free Products.
Growth functions on Fuchsian groups and the Euler characteristic.