{"id":2,"date":"2022-01-05T09:09:53","date_gmt":"2022-01-05T09:09:53","guid":{"rendered":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/?page_id=2"},"modified":"2026-03-05T09:48:56","modified_gmt":"2026-03-05T00:48:56","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/","title":{"rendered":""},"content":{"rendered":"\n<p>I am the head of the <a href=\"https:\/\/www.ibs.re.kr\/ecopro\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">Extremal Combinatorics and Probability Group<\/mark><\/a> (<strong>ECOPRO<\/strong>) and a distinguished research fellow (\u9996\u5e2d\u79d1\u5b66\u5bb6) at the <a href=\"https:\/\/www.ibs.re.kr\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\">Institute for Basic Science<\/mark><\/a> (<strong>IBS<\/strong>). Previously, I was a faculty and a <a href=\"https:\/\/www.ukri.org\/our-work\/developing-people-and-skills\/future-leaders-fellowships\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">UKRI Future Leaders Fellow<\/mark><\/a> at the Mathematics Institute at <a href=\"http:\/\/www.warwick.ac.uk\/fac\/sci\/maths\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\">University of Warwick<\/mark><\/a>. Before that, I was a <a href=\"https:\/\/www.leverhulme.ac.uk\/early-career-fellowships\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Leverhulme Early Career Fellow<\/mark><\/a>, working with <a href=\"https:\/\/homepages.warwick.ac.uk\/~maskat\/\">Oleg Pikhurko<\/a>. I got my Ph.D. in 2015 at <a href=\"http:\/\/www.math.uiuc.edu\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\">University of Illinois at Urbana Champaign<\/mark><\/a>, advised by <a href=\"http:\/\/www.math.uiuc.edu\/~jobal\/\">J\u00f3zsi Balogh<\/a>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>I am co-organising the Discrete Math Seminar, the Virtual Discrete Math Colloquium and regular summer\/winter schools at IBS. See <strong><a rel=\"noreferrer noopener\" href=\"https:\/\/www.ibs.re.kr\/ecopro\/\" target=\"_blank\">ECOPRO<\/a><\/strong> page for announcements.<\/li>\n\n\n\n<li>Editorial board @ Combinatorica (2026.1-)<\/li>\n\n\n\n<li>Associate editor @ SIAM Journal on Discrete Mathematics (2023.1-2025.12)<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Research<\/h2>\n\n\n\n<p>I am interested in extremal and probabilistic combinatorics, graph theory, discrete geometry, Ramsey theory, and combinatorial number theory. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Selected papers<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/arxiv.org\/abs\/2506.14748\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Stability with minuscule structure for chromatic thresholds<\/mark><\/a>, <em>with Jaehoon Kim, Chong Shangguan, Guanghui Wang, Zhuo Wu, Yisai Xue<\/em>, <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">Peking Mathematical Journal, 2026.<\/mark><\/li>\n\n\n\n<li><a href=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2025\/08\/RT-2025-Revisions-V1.pdf\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Geometric constructions for Ramsey-Tur\u00e1n theory<\/mark><\/a>, <em>with Christian Reiher, Maryam Sharifzadeh, Katherine Staden<\/em>, <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">Journal of the European Mathematical Society, 2025.<\/mark><\/li>\n\n\n\n<li><a href=\"https:\/\/preprint.press.jhu.edu\/ajm\/article\/new-lower-bounds-kissing-numbers-and-spherical-codes-high-dimensions\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">New lower bounds on kissing numbers and spherical codes in high dimensions<\/mark><\/a>, <em>with Irene Gil Fern\u00e1ndez, Jaehoon Kim, Oleg Pikhurko<\/em>, <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">American Journal of Mathematics, 2025.<\/mark><\/li>\n\n\n\n<li><a href=\"https:\/\/doi.org\/10.1090\/jams\/1018\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">A solution to Erd\u0151s and Hajnal\u2019s odd cycle problem<\/mark><\/a>, <em>with Richard Montgomery<\/em>, <br><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">Journal of the American Mathematical Society, 2023.<\/mark> See also <a href=\"https:\/\/gilkalai.wordpress.com\/2020\/11\/17\/to-cheer-you-up-14-hong-liu-and-richard-montgomery-solved-the-erdos-and-hajnals-odd-cycle-problem\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\">Gil Kalai&#8217;s blog<\/mark><\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/doi.org\/10.1017\/fmp.2020.7\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The exact minimum number of triangles in graphs of given order and size<\/mark><\/a>, <em>with Oleg Pikhurko, Katherine Staden<\/em>, <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">Forum of Mathematics, Pi, 2020.<\/mark> See also <a href=\"https:\/\/www.maths.ox.ac.uk\/node\/27858\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\">Oxford news<\/mark><\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/doi.org\/10.4171\/jems\/802\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Sharp bound on the number of maximal sum-free subsets of integers<\/mark><\/a>, <em>with J\u00f3zsef Balogh, Maryam Sharifzadeh, Andrew Treglown<\/em>, <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">Journal of the European Mathematical Society, 2018. <\/mark><\/li>\n\n\n\n<li><a href=\"https:\/\/doi.org\/10.1112\/plms.12059\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">Proof of Koml\u00f3s&#8217;s conjecture on Hamiltonian subsets<\/mark><\/a>, <em>with Jaehoon Kim, Maryam Sharifzadeh, Katherine Staden<\/em>, <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">Proceedings of the London Mathematical Society, 2017. <\/mark><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>I am the head of the Extremal Combinatorics and Probability Group (ECOPRO) and a distinguished research fellow (\u9996\u5e2d\u79d1\u5b66\u5bb6) at the Institute for Basic Science (IBS). [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":62,"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":521,"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/pages\/2\/revisions\/521"}],"wp:attachment":[{"href":"https:\/\/www.ibs.re.kr\/ecopro\/hongliu\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}