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math.GT2026
Systole Increasing Deformations to Maximal Translation Surfaces
Achintya Dey, Bidyut Sanki
A unit-area translation surface is called \emph{maximal} if it maximizes the length of the shortest saddle connection among all surfaces in the same stratum. We investigate whether…
math.GT2025
Systolic embedding of graphs on translation surfaces
Achintya Dey, Bidyut Sanki
An embedding of a graph on a translation surface is said to be \emph{systolic} if each vertex of the graph corresponds to a singular point (or marked point) and each edge correspon…
math.GT2025
Bolza-like surfaces in the Thurston set
Achintya Dey, Bhola Nath Saha, Bidyut Sanki
A surface in the Teichmüller space, where the systole function admits its maximum, is called a maximal surface. For genus two, a unique maximal surface exists, which is called the…