{"id":2,"date":"2012-09-04T13:39:49","date_gmt":"2012-09-04T17:39:49","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=2"},"modified":"2026-05-21T20:58:22","modified_gmt":"2026-05-22T00:58:22","slug":"home","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/hwagner\/","title":{"rendered":"Home"},"content":{"rendered":"\n<section class=\"fullwidth-text-block\"><div class=\"container px-0\"><div class=\"row align-items-start\"><div class=\"col-12\">\n<h2 class=\"wp-block-heading\">Hubert Wagner<\/h2>\n\n\n\n<p>Assistant Professor (Department of Mathematics)<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright is-resized\"><a href=\"http:\/\/people.clas.ufl.edu\/hwagner\/files\/hub.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"http:\/\/people.clas.ufl.edu\/hwagner\/files\/hub-150x150.jpg\" alt=\"\" class=\"wp-image-176\" style=\"width:157px;height:auto\" srcset=\"https:\/\/people.clas.ufl.edu\/hwagner\/files\/hub-150x150.jpg 150w, https:\/\/people.clas.ufl.edu\/hwagner\/files\/hub-300x300.jpg 300w, https:\/\/people.clas.ufl.edu\/hwagner\/files\/hub-200x200.jpg 200w, https:\/\/people.clas.ufl.edu\/hwagner\/files\/hub.jpg 320w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Areas of Interest<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Computational Geometry and Topology<\/li>\n\n\n\n<li>Topological Data Analysis<\/li>\n\n\n\n<li>Machine Learning<\/li>\n\n\n\n<li>Algorithm Engineering<\/li>\n\n\n\n<li>Applications all of the above in various fields (astrophysics, biomedicine&#8230;)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Background<\/h3>\n\n\n\n<p>Before starting at UF, I did a postdoc at IST Austria with Herbert Edelsbrunner and a PhD at Jagiellonian University with Marian Mrozek. See my full <a href=\"http:\/\/people.clas.ufl.edu\/hwagner\/files\/wagner_cv_academic_full_current.pdf\">CV<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Research<\/h3>\n\n\n\n<p>My work focuses on developing mathematical foundations, algorithms and software for topological computations. The aim is to provide efficient tools useful in practical situations. The main streams of my work are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n\n<li>\nOne recent direction has to do with capturing geometric-topological interactions between multiple datasets (or portions of the same dataset), for example multiple point clouds embedded in the same space. In our recent <a href=\"https:\/\/arxiv.org\/pdf\/2402.15058\">SoCG paper<\/a>, \nwe introduced a mixup barcode: a single descriptor that captures such interactions. For 3D data it may describe intuitive notions such as contact or surrounding.\n<\/li>\n\n\n\n<li>High-dimensional data: I use topological methods in conjunction with information theory to model higher-order interactions present in high-dimensional, non-Euclidean data. I&#8217;m particularly interested in datasets measured by Bregman divergences, which include the Kullback-Leibler divergence (aka relative entropy) widely used in machine learning. One interesting application is in detection of trojan attacks on deep neural networks (<a href=\"https:\/\/openreview.net\/pdf?id=1r2EannVuIA\">NeurIPS 2021 paper<\/a>). This stream of work is supported by a <a href=\"https:\/\/research.google\/outreach\/research-scholar-program\/recipients\/?category=2022\">2022 Google Research Scholar<\/a> award in Algorithms &amp; Optimization.\n<\/li>\n\n\n<li>Imaging applications: Some of my work is in efficient computation of topological descriptors &#8212; especially persistent homology &#8212; which are used to analyze images. See my <a href=https:\/\/drops.dagstuhl.de\/storage\/00lipics\/lipics-vol258-socg2023\/LIPIcs.SoCG.2023.60\/LIPIcs.SoCG.2023.60.pdf\">SoCG 23 paper<\/a> which allows to handle 3D images with billions of voxels. One interesting application of this type of computations is in analysis of cosmic microwave background radiation (<a href=\"https:\/\/www.aanda.org\/articles\/aa\/abs\/2019\/07\/aa34916-18\/aa34916-18.html\">paper in A&amp;A<\/a>).<\/li>\n\n\n<\/ul>\n<!-- \/wp:post-content -->\n\n<p><!-- \/wp:post-content --><\/p>\n<p><!-- wp:heading {\"level\":3} --><\/p>\n<h3 class=\"wp-block-heading\">Updated Publication List<\/h3>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p><a href=\"https:\/\/scholar.google.com\/citations?hl=en&amp;user=DXkaYnIAAAAJ\" target=\"_blank\" rel=\"noopener\">Link to my google scholar <\/a><\/p>\n<p><!-- \/wp:paragraph --><\/p>\n<p><!-- wp:heading {\"level\":3} --><\/p>\n<h3 class=\"wp-block-heading\">Other resources<\/h3>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p><a href=\"https:\/\/people.clas.ufl.edu\/hwagner\/links-to-my-aatrn-talks-on-yt\/\" data-type=\"page\" data-id=\"355\">Links to My Talks on YT<\/a><\/p>\n<p><!-- \/wp:paragraph --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p><a href=\"https:\/\/people.clas.ufl.edu\/hwagner\/links-to-my-tda-software-packages\/\" data-type=\"page\" data-id=\"359\">Links to my TDA software<\/a><\/p>\n<p><!-- \/wp:paragraph --><\/p>\n<p><!-- wp:heading {\"level\":3} --><\/p>\n<h3 class=\"wp-block-heading\">Contact Information<\/h3>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p>Email: hwagner@ufl.edu<br \/>Office: 428 Little Hall<\/p>\n<p><!-- \/wp:paragraph --><\/div>\n<\/div>\n<\/div>\n<\/section>\n<p><!-- \/wp:post-content --><\/p>","protected":false},"excerpt":{"rendered":"<p>Updated Publication List Link to my google scholar Other resources Links to My Talks on YT Links to my TDA software Contact Information Email: hwagner@ufl.eduOffice: 428 Little Hall<\/p>\n","protected":false},"author":1149,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/users\/1149"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":9,"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":387,"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/pages\/2\/revisions\/387"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/hwagner\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}