Generalization of the symplectic modular group
Generalized continued fractions and orbits under the action of Hecke triangle groups
Generalized Hecke groups and Hecke polygons.
Generalized Picard lattices arising from half-integral conditions
Geodesics on Riemann surfaces with ramification points of order greater than two.
Independent generators for congruence subgroups of Hecke groups.
Inmersiones de órdenes cuadráticos en el orden generador por T^iN).
Kompaktifizierung des Humbertschen Fundamentalbereichs.
Length spectra of the Hecke triangle groups.
Limit multiplicities of cusp forms.
Matrix coefficients, counting and primes for orbits of geometrically finite groups
Let and for and when for , we obtain an effective archimedean counting result for a discrete orbit of in a homogeneous space where is the trivial group, a symmetric subgroup or a horospherical subgroup. More precisely, we show that for any effectively well-rounded family of compact subsets, there exists such that for an explicit measure on which depends on . We also apply the affine sieve and describe the distribution of almost primes on orbits of in arithmetic settings....
Modular curves and the Eisenstein ideal
Modular embeddings and rigidity for Fuchsian groups
We prove a rigidity theorem for semiarithmetic Fuchsian groups: If Γ₁, Γ₂ are two semiarithmetic lattices in PSL(2,ℝ ) virtually admitting modular embeddings, and f: Γ₁ → Γ₂ is a group isomorphism that respects the notion of congruence subgroups, then f is induced by an inner automorphism of PGL(2,ℝ ).
Monodromy of hypergeometric functions and non-lattice integral monodromy
Multiplikatorensysteme der symplektischen Thetagruppe.
Noncongruence subgroups of the Hecke groups G (...).
On arithmetic Fuchsian groups and their characterizations
This is a small survey paper about connections between the arithmetic and geometric properties in the case of arithmetic Fuchsian groups.
On Dirichlet series and Hecke triangle groups of infinite volume
On Hsiao's conjecture on Hecke groups.
On modular units.