Joffrey Mathien

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math.GT2026

A sharper bound on the minimal possible diameter of a closed hyperbolic surface

Joffrey Mathien, Bram Petri

We prove that the minimal possible diameter of a closed hyperbolic surface of genus $g$ is at most $lo g (g) + 25 lo g lo g (g) + O (1)$ .

math.GT2026

Diameter of a new model of random hyperbolic surfaces

Joffrey Mathien

The study of random surfaces, especially in the asymptotics of large genus, has been of increasing interest in recent years. Many geometrical questions have analogous formulations…