{"id":19,"date":"2025-01-16T15:58:34","date_gmt":"2025-01-16T20:58:34","guid":{"rendered":"https:\/\/sites.nd.edu\/gabriel-day\/?page_id=19"},"modified":"2025-07-24T12:24:32","modified_gmt":"2025-07-24T16:24:32","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/gabriel-day\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"alignright is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1920\" height=\"2560\" src=\"https:\/\/sites.nd.edu\/gabriel-day\/files\/2025\/01\/IMG_9499-scaled.jpg\" alt=\"\" class=\"wp-image-8\" style=\"width:248px;height:auto\" srcset=\"https:\/\/sites.nd.edu\/gabriel-day\/files\/2025\/01\/IMG_9499-scaled.jpg 1920w, https:\/\/sites.nd.edu\/gabriel-day\/files\/2025\/01\/IMG_9499-225x300.jpg 225w, https:\/\/sites.nd.edu\/gabriel-day\/files\/2025\/01\/IMG_9499-768x1024.jpg 768w, https:\/\/sites.nd.edu\/gabriel-day\/files\/2025\/01\/IMG_9499-1152x1536.jpg 1152w, https:\/\/sites.nd.edu\/gabriel-day\/files\/2025\/01\/IMG_9499-1536x2048.jpg 1536w\" sizes=\"auto, (max-width: 1920px) 100vw, 1920px\" \/><\/figure>\n<\/div>\n\n\n<p>My work in philosophy of mathematics investigates what the field of model theory reveals about mathematical complexity. <\/p>\n\n\n\n<p>My mathematical research likewise concentrates on model theory, in particular, on generalizations of indiscernible sequences and tree properties. <\/p>\n\n\n\n<p>In addition to these central research topics, I am interested in the 19th and 20th Century history and philosophy of logic and mathematics, as well as the writings and reception of Karl Marx.<\/p>\n\n\n\n<p>I am pursuing Notre Dame\u2019s<a href=\"https:\/\/philosophy.nd.edu\/graduate-program\/program-in-logic-and-foundations-of-mathematics\/\"> Joint PhD in Philosophy and Mathematics<\/a>, advised by <a href=\"https:\/\/www3.nd.edu\/~cfranks\/\">Curtis Franks<\/a> and <a href=\"https:\/\/www.nramseymath.com\/\">Nick Ramsey<\/a>. My dissertation includes both philosophical and mathematical contributions, on the central research topics mentioned above.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>My work in philosophy of mathematics investigates what the field of model theory reveals about mathematical complexity. My mathematical research likewise concentrates on model theory, in particular, on generalizations of indiscernible sequences and tree properties. In addition to these central research topics, I am interested in the 19th and 20th Century history and philosophy of &hellip; <a href=\"https:\/\/sites.nd.edu\/gabriel-day\/research\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Research<\/span><\/a><\/p>\n","protected":false},"author":4973,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/users\/4973"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":4,"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":44,"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/pages\/19\/revisions\/44"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}