{"id":35,"date":"2025-07-23T17:27:07","date_gmt":"2025-07-23T21:27:07","guid":{"rendered":"https:\/\/sites.nd.edu\/gabriel-day\/?page_id=35"},"modified":"2026-08-30T16:41:55","modified_gmt":"2026-08-30T20:41:55","slug":"publications-and-preprints","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/gabriel-day\/publications-and-preprints\/","title":{"rendered":"Papers and Preprints"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Philosophy<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><em>Two Model-theoretic Accounts of Mathematical Complexity<\/em> <\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Accepted in <em>Philosophia Mathematica<\/em> (2026)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Mathematics<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><em>Results on Colored Tree Propertie<\/em>s. (Under revision with the Journal of Symbolic Logic) <a href=\"https:\/\/arxiv.org\/abs\/2507.06977\" data-type=\"link\" data-id=\"https:\/\/arxiv.org\/abs\/2507.06977\">(arXiv:2507.06977)<\/a><\/li>\n\n\n\n<li><em>On the notion of a patterning property in model theory<\/em> (Joint work with Scott Mutchnik) Submitted. (<a href=\"https:\/\/arxiv.org\/abs\/2606.18533\">arXiv:2606.18533<\/a>)<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Philosophy Accepted in Philosophia Mathematica (2026) Mathematics<\/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-35","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/pages\/35","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=35"}],"version-history":[{"count":6,"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/pages\/35\/revisions"}],"predecessor-version":[{"id":76,"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/pages\/35\/revisions\/76"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/gabriel-day\/wp-json\/wp\/v2\/media?parent=35"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}