3 papers
math.MG2026
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…
math.GT2025
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…
math.GT2025
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…