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math.CO2017
Degree-regular triangulations of surfaces
Basudeb Datta, Subhojoy Gupta
A degree-regular triangulation is one in which each vertex has identical degree. Our main result is that any such triangulation of a (possibly non-compact) surface is geometric…
math.DG2017
Harmonic maps and wild Teichmüller spaces
Subhojoy Gupta
We use meromorphic quadratic differentials with higher order poles to parametrize the Teichmüller space of crowned hyperbolic surfaces. Such a surface is obtained on uniformizing a…