{"id":22,"date":"2012-09-05T11:22:33","date_gmt":"2012-09-05T15:22:33","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=22"},"modified":"2026-03-23T11:06:29","modified_gmt":"2026-03-23T15:06:29","slug":"research","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/aowens2\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n<section class=\"fullwidth-text-block\"><div class=\"container px-0\"><div class=\"row align-items-start\"><div class=\"col-12\">\n<h1 class=\"wp-block-heading\">Research<\/h1>\n\n\n\n<p>Advisor: &nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/kknudson\/\">Dr. Kevin Knudson<\/a><\/p>\n\n\n\n<p>Topics of Interest:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Generalizations of Discrete Morse Theory via Poset Maps\n<ul class=\"wp-block-list\">\n<li>exploring relationships between fibers of poset maps and the topology of the related \u00a0space (simplicial complex, generalized simplicial complex)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Strong Discrete Morse theory\n<ul class=\"wp-block-list\">\n<li>expanding on work by Ximena Fernandez and others<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Strong Morse complex of n-cycles\n<ul class=\"wp-block-list\">\n<li>defining a strong Morse complex and exploring its properties on small complexes<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1337,"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-22","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/users\/1337"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":935,"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/pages\/22\/revisions\/935"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/aowens2\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}