{"id":268,"date":"2023-06-08T12:17:53","date_gmt":"2023-06-08T19:17:53","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/jason-fulman\/?page_id=268"},"modified":"2023-06-08T12:17:54","modified_gmt":"2023-06-08T19:17:54","slug":"weiyan-chen-university-of-minnesota","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/","title":{"rendered":"Weiyan Chen, University of Minnesota"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p><center><\/p>\n<p style=\"text-align: left;\" align=\"CENTER\">Title: Choosing distinct points on cubic curves<\/p>\n<p><\/center>Abstract: It is a classical topic dating back to Maclaurin (1698-1746) to study certain special points on smooth cubic plane curves, such as the 9 inflection points (Maclaurin and Hesse), the 27 sextatic points (Cayley), and the 72 points &#8220;of type 9&#8221; (Gattazzo). Motivated by these algebro-geometric constructions, we ask the following topological question: is it possible to choose n distinct points on a smooth cubic plane curve as the curve varies continuously in family, for any integer n other than 9, 27 and 72? We will present both constructions and obstructions to such continuous choices of points, state a classification theorem for them, and discuss conjectures and open questions.<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-268","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Weiyan Chen, University of Minnesota - Jason Fulman<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Weiyan Chen, University of Minnesota - Jason Fulman\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/\" \/>\n<meta property=\"og:site_name\" content=\"Jason Fulman\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-08T19:17:54+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/\",\"url\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/\",\"name\":\"Weiyan Chen, University of Minnesota - Jason Fulman\",\"isPartOf\":{\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/#website\"},\"datePublished\":\"2023-06-08T19:17:53+00:00\",\"dateModified\":\"2023-06-08T19:17:54+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/weiyan-chen-university-of-minnesota\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Weiyan Chen, University of Minnesota\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/#website\",\"url\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/\",\"name\":\"Jason Fulman\",\"description\":\"USC Dornsife Jason Fulman\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/dornsife.usc.edu\/jason-fulman\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Weiyan Chen, University of Minnesota - 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