Modultheorie hyperelliptischer Mumfordkurven.
Navigating moduli space with complex twists
We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
Negatively curved metrics on Kaira surfaces.
Nielsen's theorem and the super-Teichmüller space
Non-continuity of the action of the modular group at Ber's boundary of Teichmuller space.
Non-uniqueness of geodesics in infinite-dimensional Teichmüller spaces. II.
Normalization of almost conformal parabolic germs.
On a distance defined by the length spectrum on Teichmüller space.
On a Natural Algebraic Affine Connection on the Space of Almost Complex Structures and the Curvature of Teichmüller Space with Respect to its Weil-Petersson Metric.
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On a subvariety of the moduli space.
We give an explicit description of a non-normal irreducible subvariety of the moduli space of Riemann surfaces of genus 3 characterized by a non-cyclic group action. Defining equations of a family of curves representing non-normal points of this subvariety are computed. We also find defining equations of the family of hyperelliptic curves of genus 3 whose full automorphism group is C2 X C4. This completes the list of full automorphism groups of hyperelliptic curves.
On a volume element of a Hitchin component
Let Σ be a closed oriented Riemann surface of genus at least 2. By using symplectic chain complex, we construct a volume element for a Hitchin component of Hom(π₁(Σ),PSLₙ(ℝ))/PSLₙ(ℝ) for n > 2.
On algebraic curves (of low genus) defined by Kleinian groups
On deformations of monomial curves
On families of counting functions of number fields and hyperbolic manifolds of dimensions two and three
On Higher Order Weierstrass Points of the Universal Curve.
On quasiconformal mappings of open Riemann surfaces.
On quasi-starlike functions
On Spaces of Kleinian Groups
On Teichmüller modular forms.