3 papers
math.GT2020
Closed geodesics on semi-arithmetic Riemann surfaces
Gregory Cosac, Cayo Dória
In this article, we study geometric aspects of semi-arithmetic Riemann surfaces by means of number theory and hyperbolic geometry. First, we show the existence of infinitely many s…
math.NT2019
Height estimates for Bianchi groups
Cayo Dória, Gisele Teixeira Paula
We study the action of Bianchi groups on the hyperbolic -space . Given the standard fundamental domain for this action and any point in we show tha…
math.GR2018
Free subgroups of -manifold groups
Mikhail Belolipetsky, Cayo Dória
We show that any closed hyperbolic -manifold has a co-final tower of covers of degrees such that any subgroup of generated by elements is…