Closed geodesics, periods and arithmetic of modular forms.
Cohomology of Vector-Valued Automorphic Forms.
Complex algebraic curves with real moduli.
Complex determinantal processes and noise.
Complex geometry of the universal Teichmüller space.
Compositions of maps and hypermaps. (Compositions des cartes et hypercartes.)
Computation of Period Matrices of Real Algebraic Curves*
Conformal actions with prescribed periods on Riemann surfaces
It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions for the...
Conformal conjugation of Fuchsian groups from the first kind to the second kind.
Conformal Mapping of Riemann Surfaces and the Classical Theory of Univalent Functions
Conformally flat manifolds, Kleinian groups and scalar curvature.
Congruence subgroups associated to the Monster.
Congruence subgroups of groups commensurable with of genus 0 and 1.
Congruence subgroups of ) of genus less than or equal to 24.
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...
Conservative action and the horospheric limit set.
Constructing an automorphic form from the orbit of a transformation.
Convex bodies of constant width and the Apollonian metric.
Coordinates for Teichmüller spaces of -groups with torsion.
Correction to the paper: Simultaneous uniformisation.