My research interests include combinatorial topology, hyperbolic and affine geometry.
Polyhedral realisations of finite arc complexes using strip deformations. Guéritaud F., Panda, P. (arxiv).
Flip-graphs of non-orientable filling surfaces. Panda P., Parlier H., Pournin L. (arxiv)
Strong collapsibility of the arc complexes of orientable and non-orientable crowns. Panda, P. (arxiv).
Parametrisation of decorated Margulis spacetimes using strip deformations. Panda, P. (arxiv)
The arc complexes of bicoloured polygons are balls. Panda, P. (arxiv)
Strip deformations of decorated hyperbolic polygons. Panda, P. (arxiv) published in Journal of London Mathematical Society.
The arc and curve complex of a hyperbolic surface. P.Panda (link)