Sebastian Heller

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20212024

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math.DG2024

Minimal reflection surfaces in $S^{3} .$ Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons

Alexander I. Bobenko, Sebastian Heller, Nicolas Schmitt

We study compact minimal surfaces in the 3-sphere which are constructed by successive reflections from a minimal $n$ -gon -- so-called minimal reflection surfaces. The minimal $n$ -g…

math.DG2023

On the monodromy of holomorphic differential systems

Indranil Biswas, Sorin Dumitrescu, Lynn Heller +2

First we survey and explain the strategy of some recent results that construct holomorphic $sl (2, C)$ -differential systems over some Riemann surfaces $Σ_{g}$ of genus…

Minimal reflection surfaces in S3. Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons

On the monodromy of holomorphic differential systems

Minimal reflection surfaces in $S^{3} .$ Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons