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<!DOCTYPE html>
<html lang="en-GB">
<head>
<meta http-equiv="content-type" content="text/html; charset=utf-8" />
<title>Dr. Mario B. Schulz</title>
<meta name="author" content="Mario B. Schulz"/>
<meta name="keywords" content="Mario B. Schulz, publications, minimal surface"/>
<meta name="description" content="geometric analysis, minimal surfaces"/>
<link href="mbs.css" rel="stylesheet" type="text/css" />
<link rel="icon" href="images/pmhgm.png" type="image/png">
</head>
<body>
<!-- SIDEBAR-START -->
<div class="sidebar">
<a href="index.html">Home</a>
<a href="publications.html" class="active">Publications</a>
<a href="fbms/genus_zero.html">FBMS of genus zero</a>
<a href="fbms/genus_one.html">FBMS of genus one</a>
<a href="fbms/genus_two.html">FBMS of genus two</a>
<a href="fbms/connected_boundary.html">FBMS with connected boundary</a>
<a href="fbms/nested_boundaries.html">FBMS with nested boundary components</a>
<a href="fbms/arbitrary_topology.html">FBMS with arbitrary topology</a>
<a href="fbms/platonic_symmetry.html">FBMS with Platonic symmetry</a>
<a href="fbms/immersed.html">Immersed FBMS</a>
<a href="fbms/catenoid.html">Index of the catenoid</a>
<a href="fbms/ellipsoids.html">FBMS in ellipsoids</a>
<a href="fbms/toroids.html">FBMS in toroids</a>
<a href="three-sphere/index.html">MS in the three-sphere</a>
<a href="shrinkers/index.html">Self-shrinkers</a>
<a href="impressum.html">Contact</a>
<span class="copyright">© Mario B. Schulz</span>
</div>
<!-- SIDEBAR-END -->
<div class="content">
<h2>List of Publications </h2>
<ul class="publication-list">
<li>
<a href="https://arxiv.org/abs/2507.22531" target="_blank">A new family of minimal surfaces of even genus in the three-dimensional sphere</a>. (with D. Wiygul)<br><i>Commentarii Mathematici Helvetici</i> (to appear).
</li>
<li>
<a href="https://arxiv.org/abs/2410.05781" target="_blank">Free boundary minimal Möbius bands in toroids</a>. <br> preprint.
</li>
<li>
<a href="https://arxiv.org/abs/2409.12588" target="_blank">Genus one critical catenoid</a>. (with G. Franz and D. Ketover) <br> preprint.
</li>
<li>
<a href="https://arxiv.org/abs/2406.13465" target="_blank">Equivariant free boundary minimal discs and annuli in ellipsoids</a>. <br> preprint.
</li>
<li>
<a href="https://arxiv.org/abs/2307.00941" target="_blank">Topological control for min-max free boundary minimal surfaces</a>. (with G. Franz) <br><i>Journal of the European Mathematical Society</i> (to appear).
</li>
<li>
<a href="https://doi.org/10.1515/ans-2023-0177" target="_blank">Disc stackings and their Morse index</a>. (with A. Carlotto and D. Wiygul) <br><i>Advanced Nonlinear Studies</i> 25-3 (2025).
</li>
<li>
<a href="https://doi.org/10.1090/proc/17151" target="_blank">Index growth not imputable to topology</a>. (with A. Carlotto and D. Wiygul) <br><i>Proceedings of the AMS</i> 153 (2025).
</li>
<li>
<a href="https://doi.org/10.2140/apde.2025.18.1715" target="_blank">Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods</a>. (with A. Carlotto and D. Wiygul)<br><i>Analysis & PDE</i> 18-7 (2025).
</li>
<li>
<a href="https://doi.org/10.1090/memo/1591" target="_blank">Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group</a>. (with A. Carlotto and D. Wiygul) <br><i>Memoirs of the AMS</i> 313-1591 (2025).
</li>
<li>
<a href="https://doi.org/10.1515/crelle-2024-0073" target="_blank">Noncompact self-shrinkers for mean curvature flow with arbitrary genus</a>. (with R. Buzano and H. Nguyen) <br><i>Journal für die reine und angewandte Mathematik</i> 818 (2025).
</li>
<li>
<a href="https://doi.org/10.15781/gtrt-v523" target="_blank">Minimal hypertori in the four-dimensional sphere</a>. (with A. Carlotto) <br><i>Ars Inveniendi Analytica</i> (2023).
</li>
<li>
<a href="https://dx.doi.org/10.4310/CJM.2022.v10.n4.a3" target="_blank">Free boundary minimal surfaces with connected boundary and arbitrary genus</a>. (with A. Carlotto and G. Franz)<br><i>Cambridge Journal of Mathematics</i> 10-4 (2022).
</li>
<li>
<a href="https://doi.org/10.1016/j.jfa.2020.108475" target="_blank">Incomplete Yamabe flows and removable singularities.</a><br><i>Journal of Functional Analysis</i> 278 (2020).
</li>
<li>
<a href="https://doi.org/10.2140/apde.2020.13.1579" target="_blank">Unconditional existence of conformally hyperbolic Yamabe flows</a>.<br><i>Analysis & PDE</i> 13-5 (2020).
</li>
<li>
<a href="https://doi.org/10.1007/s12220-019-00238-8" target="_blank">Yamabe flow on non-compact manifolds with unbounded initial curvature</a>.<br><i>The Journal of Geometric Analysis</i> 30 (2020).
</li>
<li>
<a href="https://doi.org/10.1007/s00526-019-1634-9" target="_blank">Instantaneously complete Yamabe flow on hyperbolic space</a>.<br><i>Calculus of Variations and PDE</i> 58-190 (2019).
</li>
<li>
<a href="https://doi.org/10.3929/ethz-b-000350967" target="_blank">Yamabe flow on noncompact manifolds</a>.<br> Doctoral Thesis (2019).
</li>
</ul>
<p> </p>
<img src="./images/tex.png" alt="tex" width="350px" hspace="50" vspace="20">
<p> </p>
</div>
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