From the 1 of 4 linked papers with an AI index.
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The extremal length systole of the cube punctured at its vertices
Samuel Dobchies, Maxime Fortier Bourque
The paper determines that the extremal length systole of a cube with its vertices removed is achieved by the twelve curves encircling its edges, and it characterizes the associated…
Linear programming bounds for hyperbolic surfaces
Maxime Fortier Bourque, Bram Petri
We adapt linear programming methods from sphere packings to closed hyperbolic surfaces and obtain new upper bounds on their systole, their kissing number, the first positive eigenv…
Busemann points are nowhere dense
Aitor Azemar, Maxime Fortier Bourque
We prove that the set of Busemann points (the limits of almost-geodesic rays) is nowhere dense in the horoboundary of the Teichmüller metric for all Teichmüller spaces of complex…