Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form
Simultaneous uniformisation.
Singular sets of holonomy maps for algebraic foliations
In this article we investigate the natural domain of definition of a holonomy map associated to a singular holomorphic foliation of the complex projective plane. We prove that germs of holonomy between algebraic curves can have large sets of singularities for the analytic continuation. In the Riccati context we provide examples with natural boundary and maximal sets of singularities. In the generic case we provide examples having at least a Cantor set of singularities and even a nonempty open set...
Singuläre Eichlerintegrale und verallgemeinerte Eisensteinreihen.
Small spanning sets of cusp forms.
Solution of a combinatorially formulated monodromy problem of Eisenbud and Harris
Some applications of large sieve in Riemann surfaces
Some Curves in Abelian Varieties.
Some examples of discrete groups and hyperbolic orbifolds of infinite volume.
Some loci in Teichmüller space for genus seven defined by vanishing thetanulls.
Some Remarks of Kleinian Groups.
Some remarks on non-discrete Möbius groups.
Some remarks on the Nevanlinna theory of holomorphic mappings of Riemann surfaces
Spectral curves and the generalised theta divisor.
Spectral theory of translation surfaces : A short introduction
We define translation surfaces and, on these, the Laplace operator that is associated with the Euclidean (singular) metric. This Laplace operator is not essentially self-adjoint and we recall how self-adjoint extensions are chosen. There are essentially two geometrical self-adjoint extensions and we show that they actually share the same spectrum
Spherical derivative of meromorphic function with image of finite spherical area.
Stability of the bases and frames reproducing kernels in model spaces
We study the bases and frames of reproducing kernels in the model subspaces of the Hardy class in the upper half-plane. The main problem under consideration is the stability of a basis of reproducing kernels under “small” perturbations of the points . We propose an approach to this problem based on the recently obtained estimates of derivatives in the spaces and produce estimates of admissible perturbations generalizing certain results of W.S. Cohn and E. Fricain.
Stability of the homology of the moduli spaces of Riemann surfaces with spin structure.
Stable bundles and algebraically completely integrable systems
Stable Principal Bundles on a Compact Riemann Surface.