8 citations · 34 across the 19 of their papers we have counts for
27 papers
From discrete to dense: explorations in the moduli space of triangles
Aahana Aggarwal, Subhojoy Gupta, Ajay K. Nair
The moduli space of triangles is a two-dimensional space that records triangle shapes in the plane, considered up to similarity. We study the subset corresponding to \textit{lattic…
Meromorphic Projective Structures: Signed Spaces, Grafting and Monodromy
Spandan Ghosh, Subhojoy Gupta
A meromorphic quadratic differential on a compact Riemann surface defines a complex projective structure away from the poles via the Schwarzian equation. In this article we first p…
Simple loop conjecture for discrete representations in PSL
Gianluca Faraco, Subhojoy Gupta
We show that the Simple Loop Conjecture holds for any representation that is discrete but not faithful. That is, we show th…
Monodromy of Schwarzian equations with regular singularities
Gianluca Faraco, Subhojoy Gupta
Let be a punctured surface of finite type and negative Euler characteristic. We determine all possible representations that arise as the…
Translation surfaces and periods of meromorphic differentials
Shabarish Chenakkod, Gianluca Faraco, Subhojoy Gupta
Let be an oriented surface of genus and punctures. The periods of any meromorphic differential on , with respect to a choice of complex structure, determine a repres…
Dominating surface-group representations into in the relative representation variety
Subhojoy Gupta, Weixu Su
Let be a representation of the fundamental group of a punctured surface into that is not Fuchsian. We prove that there exists a Fuchsian represent…