{"id":1972,"date":"2025-11-20T22:56:25","date_gmt":"2025-11-20T22:56:25","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/apde\/?p=1972"},"modified":"2025-11-20T22:56:25","modified_gmt":"2025-11-20T22:56:25","slug":"mingfeng-chen-uw-madison","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2025\/11\/20\/mingfeng-chen-uw-madison\/","title":{"rendered":"Mingfeng Chen (UW Madison)"},"content":{"rendered":"<p>The APDE seminar on Monday, 12\/1, will be given by Mingfeng Chen (UW Madison) in-person in <strong>Evans 736,<\/strong>\u00a0and will also be broadcasted online via Zoom from\u00a0<strong>4:10pm to 5:00pm PDT<\/strong>. To participate, please email Adam Black (adamblack<span id=\"eeb-322338-403021\"><span id=\"eeb-843318-171438\"><span id=\"eeb-203570-882396\"><span id=\"eeb-990440-551518\"><span id=\"eeb-688663-335757\"><span id=\"eeb-951702-73120\"><span id=\"eeb-183542-482341\"><span id=\"eeb-725178-862757\"><span id=\"eeb-367675-784580\">@berkeley.edu<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>).<\/p>\n<p><strong>Title<\/strong>: Rational points near space curves<\/p>\n<p><strong>Abstract: <\/strong>How many rational points with a bounded denominator lie in a small neighborhood of a given manifold? This fundamental question in Diophantine approximation connects to dynamics, number theory, and harmonic analysis, with applications to problems like Khinchin&#8217;s theorem for manifolds and the dimension growth conjecture.<br \/>\nIn this talk, I will present new results that establish the main conjecture for the case of space curves. This is joint work with A. Seeger, R. Srivastava and N. Technau.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 12\/1, will be given by Mingfeng Chen (UW Madison) in-person in Evans 736,\u00a0and will also be broadcasted online via Zoom from\u00a04:10pm to 5:00pm PDT. To participate, please email Adam Black (adamblack@berkeley.edu). Title: Rational points near space curves Abstract: How many rational points with a bounded denominator lie in a small [&hellip;]<\/p>\n","protected":false},"author":119,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1972","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1972","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/119"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1972"}],"version-history":[{"count":1,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1972\/revisions"}],"predecessor-version":[{"id":1973,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1972\/revisions\/1973"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}