{"id":247,"date":"2023-06-08T12:09:02","date_gmt":"2023-06-08T19:09:02","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/jason-fulman\/?page_id=247"},"modified":"2023-06-08T12:09:02","modified_gmt":"2023-06-08T19:09:02","slug":"abhinav-kumar-stony-brook-university","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/jason-fulman\/abhinav-kumar-stony-brook-university\/","title":{"rendered":"Abhinav Kumar, Stony Brook University"},"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: Twenty-four dimensional cannonballs and magic functions<\/p>\n<p><\/center>Abstract: How can we pack oranges in a crate most efficiently? This classical question, or its idealized version &#8211; how to optimally pack n-dimensional space with congruent nonoverlapping spheres &#8211; has occupied the minds of scientists and mathematicians over many centuries.<\/p>\n<p>Until recently, answers were provably known only up to dimension 3, the last being a massive feat of computer-assisted proof by Hales and his collaborators. In 2016 a breakthrough was achieved by Maryna Viazovska, who proved that the E8 root lattice gives the densest sphere packing in 8 dimensions. Shortly after, Cohn-Kumar-Miller-Radchenko-Viazovsa established that the Leech lattice gives rise to the densest sphere packing in 24 dimensions.<\/p>\n<p>I will give a general introduction to the problem, the remarkable solution and some ideas of the proof, keeping assumed background to a minimum (the talk should be accessible to advanced undergraduates).<\/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-247","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Abhinav Kumar, Stony Brook University - 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\/abhinav-kumar-stony-brook-university\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Abhinav Kumar, Stony Brook University - Jason Fulman\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/jason-fulman\/abhinav-kumar-stony-brook-university\/\" \/>\n<meta property=\"og:site_name\" content=\"Jason Fulman\" \/>\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\\\/abhinav-kumar-stony-brook-university\\\/\",\"url\":\"https:\\\/\\\/dornsife.usc.edu\\\/jason-fulman\\\/abhinav-kumar-stony-brook-university\\\/\",\"name\":\"Abhinav Kumar, Stony Brook University - Jason Fulman\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/dornsife.usc.edu\\\/jason-fulman\\\/#website\"},\"datePublished\":\"2023-06-08T19:09:02+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/dornsife.usc.edu\\\/jason-fulman\\\/abhinav-kumar-stony-brook-university\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/dornsife.usc.edu\\\/jason-fulman\\\/abhinav-kumar-stony-brook-university\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/dornsife.usc.edu\\\/jason-fulman\\\/abhinav-kumar-stony-brook-university\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/dornsife.usc.edu\\\/jason-fulman\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Abhinav Kumar, Stony Brook University\"}]},{\"@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":"Abhinav Kumar, Stony Brook University - 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