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.
On the determinant of the bundle of meromorphic quadratic differentials on the Deligne-Mumford compactification of the moduli space of Riemann surfaces.
On the ideal triangulation graph of a punctured surface
We study the ideal triangulation graph of an oriented punctured surface of finite type. We show that if is not the sphere with at most three punctures or the torus with one puncture, then the natural map from the extended mapping class group of into the simplicial automorphism group of is an isomorphism. We also show that the graph of such a surface , equipped with its natural simplicial metric is not Gromov hyperbolic. We also show that if the triangulation graph of two oriented punctured...
On the Kähler form of the moduli space of once punctured tori.
On the lenth spectrums of non-compact Riemann surfaces.
On the outradius of the Teichmüller space.
On the Rigidity of Certain Discrete Groups and Algebraic Varieties.
On the stratification of the moduli space of Mumford curves