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math.GT2026
Coarse higher medians, symmetric spaces, and convex projective geometry
Mitul Islam, Grazia Rago
We introduce a notion of coarse -median spaces that is a higher-rank analog of Bowditch's coarse median spaces. Our notion is stable under quasi-isometries and recovers Bowditch…
math.GT2025
Morse properties in convex projective geometry
Mitul Islam, Theodore Weisman
We study properties of "hyperbolic directions" in groups acting cocompactly on properly convex domains in real projective space, from three different perspectives simultaneously: t…
math.GT2024
Convex co-compact groups with one dimensional boundary faces
Mitul Islam, Andrew Zimmer
In this paper we consider convex co-compact subgroups of the projective linear group. We prove that such a group is relatively hyperbolic with respect to a collection of virtually…