Sami Douba

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20242026

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math.GT2025

Zariski-Closures of Linear Reflection Groups

Jacques Audibert, Sami Douba, Gye-Seon Lee +1

We give necessary and sufficient conditions for a linear reflection group in the sense of Vinberg to be Zariski-dense in the ambient projective general linear group. As an applicat…

math.GT2024

Density of systoles of hyperbolic manifolds

Sami Douba, Junzhi Huang

We show that for each $n \geq 2$ , the systoles of closed hyperbolic $n$ -manifolds form a dense subset of $(0, + \infty)$ . We also show that for any $n \geq 2$ and any Salem number $Î…