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54 Questions

Question on “publication List” for applying to post-doctoral jobs

Books for hyperbolic geometry ( surfaces ) with exercises?

Translation surfaces

What is / are the softwares to use to draw surfaces of the form of a two or three-holed torus , or torus, or torus with cusps attached to it?

Websites that give good Mathematical translation from French/German/Russian to English

Softwares for drawing hyperbolic surfaces , closed, with boundaries or with punctures ?

Is there a concept of Combined Teichmuller space for surfaces with both geodesic boundary and punctures/cusps

Examples of compact hyperbolic surfaces/manifolds with very small or very large eigenvalues

A regularity question on the Beltrami equation $ f_\bar{z} =\mu . f_z$ on $D$

On mentioning recommenders' names in cover letter for postdoctoral applications

Characterization of the moduli space of the pair of pants in terms of the modules of the extremal ring domains

Connection 1-forms of a Riemannian metric and the norm of the Hessian and ( seemingly ) two different definitions of Hessian and its norm

Boundary behavior of a holomorphic function on $D$ ?

Quasiconformal harmonic extension of a quasi-symmetric map on $S^1$

Is complex analytic extension of real-analytic diffeomorphism a diffeomorphism ?

A quick and elementary question from Hubbard's Teichmuller Theory : Volume I

Books about the spectra of non-compact Riemann surfaces

Basic Questions about Teichmuller's theorem/quadratic differentials

Books that discuss spectral graph theory and its connection to eigenvalue problems in hyperbolic geometry

Smooth Sobolev extension from $W^{1,p}(U)$ to $W^{1,p} (\mathbb{R}^n) $

Boundary regularity of the solution to the Beltrami equation

Calculation of dimension of holomorphic quadratic differentials as in Gardiners book

A question about Ahlfors's proof of modular function being a covering space of the twice punctured plane

How to prove/disprove that quasiconformal maps send measure-zero sets to measure-zero sets

Is $\int_{t\in S^1} |t-\zeta|^{\alpha}p(z,t) |dt| \leq K|z-\zeta|^{\alpha}, 0< \alpha < 1$ for uniform $K$?

Questions about hyperbolic structures on a sphere with cone point singularities

The version of Montel's theorem used in the proof of Jenkins-Strebel differential

How to rigorously prove that simple closed curves on a surface are primitive closed curves ?

Regularity properties of the derivatives of a particular function on $D \times D\to \bar{D} $ ?

Is the complex harmonic extension of a $\mathcal{C^r}$ map from $S^1$ to $\mathbb{C}$ is smooth upto the boundary ?