{"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":"2026-03-19T09:09:38","modified_gmt":"2026-03-19T13:09:38","slug":"research","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/jack-graham\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Research<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Undergraduate Research Projects<\/h3>\n\n\n\n<p>The Discrete Brachistochrone (Summer 2021 &#8211; Hillsdale College) &#8211; finding a direct proof for the equal time property. Advised by Dr. David Gaebler. <a href=\"https:\/\/people.clas.ufl.edu\/jack-graham\/content-removed\/\">Link to research write-up.<\/a><\/p>\n\n\n\n\n\n<p>The Koopman Operator (Fall 2022 &#8211; Spring 2023 &#8211; Hillsdale College) &#8211; studying the Koopman Operator in simple applications. Advised by Dr. David Gaebler. <a href=\"https:\/\/people.clas.ufl.edu\/jack-graham\/content-removed\/\">Link to research write-up.<\/a><\/p>\n\n\n\n\n\n<p>&#8220;Degrees of Arnn&#8221; (Fall 2022 &#8211; Hillsdale College) &#8211; using graph theory to survey social interconnectedness of a small college campus. Applied Math Club project. <a href=\"https:\/\/people.clas.ufl.edu\/jack-graham\/content-removed\/\">Link to research write-up.<\/a><\/p>\n\n\n\n\n\n<p>Georg Cantor and the Actual Infinite (Fall 2021 &#8211; Spring 2023 &#8211; Hillsdale College) &#8211; an interdisciplinary thesis analyzing Georg Cantor&#8217;s philosophy in light of the Aristotelian tradition of the Actual Infinite. A Collegiate Scholars Program Thesis. Advised by Dr. David Murphy, Dr. Blake McAllister, Dr. Eric Hutchinson. <a href=\"https:\/\/people.clas.ufl.edu\/jack-graham\/content-removed\/\">Link to thesis.<\/a><\/p>\n\n\n\n\n\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1352,"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\/jack-graham\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/jack-graham\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/jack-graham\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/jack-graham\/wp-json\/wp\/v2\/users\/1352"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/jack-graham\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":6,"href":"https:\/\/people.clas.ufl.edu\/jack-graham\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":245,"href":"https:\/\/people.clas.ufl.edu\/jack-graham\/wp-json\/wp\/v2\/pages\/22\/revisions\/245"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/jack-graham\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}