Singular Cauchy integrals and conformal welding on Jordan curves.
Spectral limits for hyperbolic surfaces, I.
Spectral limits for hyperbolic surfaces, II.
Stable Teichmüller quasigeodesics and ending laminations.
Strengthened Moser’s conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues
The Grunsky and Teichmüller norms ϰ(f) and k(f) of a holomorphic univalent function f in a finitely connected domain D ∋ ∞ with quasiconformal extension to are related by ϰ(f) ≤ k(f). In 1985, Jürgen Moser conjectured that any univalent function in the disk Δ* = z: |z| > 1 can be approximated locally uniformly by functions with ϰ(f) < k(f). This conjecture has been recently proved by R. Kühnau and the author. In this paper, we prove that approximation is possible in a stronger sense, namely,...
Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces.
Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.
We construct a global system of real analytic coordinates on the real Teichmüller space of a compact real algebraic curve X, using so-called strict uniformization of the real algebraic curve X. A global coordinate system is then obtained via real quasiconformal deformations of the Kleinian subgroup of PGL2(R) obtained as a group of covering transformations of a strict uniformization of X.
Sur la démonstration de A. Weil du théorème de Torelli pour les courbes
Sur le bord de Thurston de l'espace de Teichmüller d'une surface non compacte.