Triangulations and moduli spaces of Riemaann surfaces with group actions.
Über den Raum der kompakten Riemannschen Flächen vom Geschlecht 2.
Über die Dimension des singulären Ortes des Modulraumes Mg.
Über die Starrheit der n-Jacobi-Struktur.
Uniquely ergodic quadratic differentials.
Universal isomonodromic deformations of meromorphic rank 2 connections on curves
We consider tracefree meromorphic rank 2 connections over compact Riemann surfaces of arbitrary genus. By deforming the curve, the position of the poles and the connection, we construct the global universal isomonodromic deformation of such a connection. Our construction, which is specific to the tracefree rank 2 case, does not need any Stokes analysis for irregular singularities. It is thereby more elementary than the construction in arbitrary rank due to B. Malgrange and I. Krichever and it includes...
Universal Teichmüller space and Fourier series.
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Variability sets on Riemann surfaces and forgetful maps between Teichmüller spaces.
Variations of Abelian Differentials under Quasiconformal Deformations.
Veech Groups of Loch Ness Monsters
We classify Veech groups of tame non-compact flat surfaces. In particular we prove that all countable subgroups of ) avoiding the set of mappings of norm less than 1 appear as Veech groups of tame non-compact flat surfaces which are Loch Ness monsters. Conversely, a Veech group of any tame flat surface is either countable, or one of three specific types.
Weierstrass Points of the Universal Curve.
Weierstraß-Punkte und kanonische stetige Familien von Riemannschen Metriken auf regulären Familien kompakter Riemannscher Flächen.
Аппроксимация аналитических функций и пространств Тейхмюллера.
Зависимость проблемы модуля для семейства нескольких классов кривых от параметров
Инвариантные метрики на пространствах замкнутых римановых поверхностей.
Квазиконформный инстантон
Новый метод решения вариационных задач теории квазиконформных отображений
О квазиконформной стабильности клейновых групп
О модулях римановых поверхностей