1<!DOCTYPE html> 2<html lang="en"> 3 4<head> 5 <meta charset="utf-8"> 6 <meta name="viewport" content="width=device-width, initial-scale=1"> 7 <title>Rudolf Zeidler</title> 8 <link rel="preload" href="https://www.rzeidler.eu/fonts/source-sans-3-v2-latin-600.woff2" as="font" type="font/woff2" crossorigin="anonymous"> 9 <link rel="stylesheet" href="https://www.rzeidler.eu/mystyle.css"> 10</head> 11 12 13 14<body> 15 16 17 18<header> 19 <nav class="navbar is-spaced is-light" role="navigation" aria-label="main navigation"> 20 <div class="navbar-brand"> 21 <a class="navbar-item" href="https://www.rzeidler.eu"> 22 Rudolf Zeidler 23 </a> 24 25 <a role="button" class="navbar-burger" aria-label="menu" aria-expanded="false" data-target="navbar"> 26 <span aria-hidden="true"></span> 27 <span aria-hidden="true"></span> 28 <span aria-hidden="true"></span> 29 </a> 30 </div> 31 <div id="navbar" class="navbar-menu"> 32 <div class="navbar-start"> 33 </div> 34 35 <div class="navbar-end"> 36 37 <a class="navbar-item" href="/comscal"> 38 ERC 39 </a> 40 41 <a class="navbar-item" href="/publications"> 42 Publications 43 </a> 44 45 <a class="navbar-item" href="/talks"> 46 Recorded talks 47 </a> 48 49 <a class="navbar-item" href="/teaching"> 50 Teaching 51 </a> 52 53 <a class="navbar-item" href="/contact"> 54 Contact 55 </a> 56 57 </div> 58 </div> 59 </nav> 60</header> 61 62<section class="section"> 63 <div class="container"> 64 65 66<div class="content" lang="en"> 67 <h2>Publications</h2> 68 <h3 id="preprints">Preprints</h3> 69<ul> 70<li>Scalar curvature rigidity for products of convex hypersurfaces (with S. Lockman). <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2606.15710" target="_blank" rel="noopener noreferrer">arXiv</a></li> 71<li>Stable 2-systoles, scalar curvature and spin<sup>c</sup> comass bounds (with S. Cecchini, S. Hirsch). <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2604.25900" target="_blank" rel="noopener noreferrer">arXiv</a></li> 72<li>Duality pairings with the analytic structure group (with C. Wulff). <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2506.13703" target="_blank" rel="noopener noreferrer">arXiv</a></li> 73<li>Rigidity of spin fill-ins with non-negative scalar curvature (with S. Cecchini, S. Hirsch). <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2404.17533" target="_blank" rel="noopener noreferrer">arXiv</a></li> 74</ul> 75<h3 id="articles">Articles</h3> 76<ul> 77<li>The degree condition in Llarullâs theorem on scalar curvature rigidity (with C. Bär). <em>Comptes Rendus Mathématique</em>, 2026. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2507.05459" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.5802/crmath.825" target="_blank" rel="noopener noreferrer">DOI</a></li> 78<li>Positive scalar curvature with point singularities (with S. Cecchini, G. Frenck). <em>Duke Mathematical Journal</em>, to appear. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2407.20163" target="_blank" rel="noopener noreferrer">arXiv</a></li> 79<li>Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields (with S. Cecchini, M. Lesourd). <em>International Mathematics Research Notices</em>, 2024. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2307.05277" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.1093/imrn/rnad315" target="_blank" rel="noopener noreferrer">DOI</a></li> 80<li>The positive mass theorem and distance estimates in the spin setting (with S. Cecchini). <em>Transactions of the American Mathematical Society</em>, 2024. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2108.11972" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.1090/tran/8942" target="_blank" rel="noopener noreferrer">DOI</a></li> 81<li>Scalar and mean curvature comparison via the Dirac operator (with S. Cecchini). <em>Geometry & Topology</em>, 2024. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2103.06833" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.2140/gt.2024.28.1167" target="_blank" rel="noopener noreferrer">DOI</a></li> 82<li>Nonnegative scalar curvature on manifolds with at least two ends (with S. Cecchini, D. Räde). <em>Journal of Topology</em>, 2023. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2205.12174" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.1112/topo.12303" target="_blank" rel="noopener noreferrer">DOI</a></li> 83<li>Band width estimates via the Dirac operator. <em>Journal of Differential Geometry</em>, 2022. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1905.08520" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.4310/jdg/1668186790" target="_blank" rel="noopener noreferrer">DOI</a></li> 84<li>On the range of the relative higher index and the higher rho-invariant for positive scalar curvature (with Z. Xie, G. Yu). <em>Advances in Mathematics</em>, 2021. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1712.03722" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.1016/j.aim.2021.107897" target="_blank" rel="noopener noreferrer">DOI</a></li> 85<li>Transfer maps in generalized group homology via submanifolds (with M. Nitsche, T. Schick). <em>Documenta Mathematica</em>, 2021. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1906.01190" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.25537/dm.2021v26.947-979" target="_blank" rel="noopener noreferrer">DOI</a></li> 86<li>Slant products on the Higson-Roe exact sequence (with A. Engel, C. Wulff). <em>Annales de lâInstitut Fourier</em>, 2021. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1909.03777" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.5802/aif.3406" target="_blank" rel="noopener noreferrer">DOI</a></li> 87<li>Width, Largeness and Index Theory. <em>SIGMA</em>, Special Issue on Scalar and Ricci Curvature in honor of Misha Gromov on his 75th Birthday, 2020. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/2008.13754" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.3842/SIGMA.2020.127" target="_blank" rel="noopener noreferrer">DOI</a></li> 88<li>Positive scalar curvature and low-degree group homology (with N. Bárcenas). <em>Annals of K-Theory</em>, 2018. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1709.07216" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.2140/akt.2018.3.565" target="_blank" rel="noopener noreferrer">DOI</a></li> 89<li>An index obstruction to positive scalar curvature on fiber bundles over aspherical manifolds. <em>Algebraic & Geometric Topology</em>, 2017. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1512.06781" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.2140/agt.2017.17.3081" target="_blank" rel="noopener noreferrer">DOI</a></li> 90<li>Positive scalar curvature and product formulas for secondary index invariants. <em>Journal of Topology</em>, 2016. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1412.0685" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.1112/jtopol/jtw005" target="_blank" rel="noopener noreferrer">DOI</a></li> 91<li>Coarse median structures and homomorphisms from Kazhdan groups. <em>Geometriae Dedicata</em>, 2016. <a class="tag is-small is-link is-light is-rounded" href="https://arxiv.org/abs/1408.1866" target="_blank" rel="noopener noreferrer">arXiv</a> <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.1007/s10711-015-0090-8" target="_blank" rel="noopener noreferrer">DOI</a></li> 92</ul> 93<h3 id="survey">Survey</h3> 94<ul> 95<li>Scalar curvature and generalized Callias operators (with S. Cecchini). <em>Perspectives in Scalar Curvature</em>, volume edited by M. Gromov and B. Lawson, World Scientific, 2023. <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.1142/9789811273223_0002" target="_blank" rel="noopener noreferrer">DOI</a></li> 96</ul> 97<h3 id="theses">Theses</h3> 98<ul> 99<li><em>Secondary large-scale index theory and positive scalar curvature</em>. Doctoral thesis, University of Göttingen, 2016. <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/11858/00-1735-0000-0028-8826-7" target="_blank" rel="noopener noreferrer">DOI</a></li> 100<li><em>Coarse median structures on groups</em>, Masterâs thesis, University of Vienna, 2013. <a class="tag is-small is-link is-rounded is-light" href="https://doi.org/10.25365/thesis.28999" target="_blank" rel="noopener noreferrer">DOI</a></li> 101</ul> 102 103</div> 104 105 </div> 106</section> 107 108 109 <footer class="footer"> 110 <div class="container has-text-centered is-size-8"> 111 <p> 112 © 2026 Rudolf Zeidler · 113 <a href="https://www.rzeidler.eu/legal/">Impressum (legal notice)</a> · 114 <a href="https://www.iubenda.com/privacy-policy/45301923"
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