{"id":13,"date":"2017-07-27T22:16:31","date_gmt":"2017-07-27T22:16:31","guid":{"rendered":"http:\/\/uni.hi.is\/siv\/?page_id=13"},"modified":"2017-07-28T10:49:49","modified_gmt":"2017-07-28T10:49:49","slug":"research","status":"publish","type":"page","link":"https:\/\/uni.hi.is\/siv\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p>I used to be a post-doc in the Mathematics Division at the Science Institute at the University of Iceland. This page contains information about my research.<\/p>\n<h3>Papers and preprints<\/h3>\n<p>The pdf files do not exactly match the final published versions.<\/p>\n<ul>\n<li>(with A. Carbery) Colouring Multijoints. (<a href=\"https:\/\/arxiv.org\/abs\/1403.6449\">arXiv:1403.6449<\/a>)\u00a0<span id=\"show_journal_overlay_link_1\"><span class=\"focus-highlight\">Discrete &amp; Computational Geometry,\u00a0<\/span><\/span><span class=\"label\">Volume:\u00a0<\/span><span class=\"data_bold\">52 (2014)\u00a0<\/span><span class=\"label\">Issue:\u00a0<\/span><span class=\"data_bold\">4\u00a0<\/span><span class=\"label\">Pages:\u00a0<\/span><span class=\"data_bold\">730-742\u00a0<a href=\"https:\/\/doi.org\/10.1007\/s00454-014-9611-8\">https:\/\/doi.org\/10.1007\/s00454-014-9611-8<\/a><\/span><\/li>\n<li>(with A. Carbery)\u00a0The endpoint multilinear Kakeya theorem via the Borsuk\u2013Ulam theorem. (<a href=\"https:\/\/arxiv.org\/abs\/1205.6371\">arXiv:1205.6371<\/a>)\u00a0<span id=\"show_journal_overlay_link_1\"><span class=\"focus-highlight\">Journal of Functional Analysis,\u00a0<\/span><\/span><span class=\"label\">Volume:\u00a0<\/span><span class=\"data_bold\">264 (2013)\u00a0<\/span><span class=\"label\">Issue:\u00a0<\/span><span class=\"data_bold\">7\u00a0<\/span><span class=\"label\">Pages:\u00a0<\/span><span class=\"data_bold\">1643-1663\u00a0<a href=\"https:\/\/doi.org\/10.1016\/j.jfa.2013.01.012\">https:\/\/doi.org\/10.1016\/j.jfa.2013.01.012<\/a><\/span><\/li>\n<li>Geometric Brascamp\u2013Lieb Has the Optimal Best Constant. (<a href=\"http:\/\/uni.hi.is\/siv\/files\/2017\/07\/optimalbestconstant.pdf\">pdf<\/a>) \u00a0Journal of Geometric Analysis,\u00a0<span class=\"FR_label\">Volume:<\/span>\u00a021 (2011)\u00a0<span class=\"FR_label\">Issue:<\/span>\u00a04\u00a0<span class=\"FR_label\">Pages:<\/span>\u00a01036-1043\u00a0<a href=\"https:\/\/doi.org\/10.1007\/s12220-010-9177-5\">https:\/\/doi.org\/10.1007\/s12220-010-9177-5<\/a><\/li>\n<li>(with E.I. \u00d3lafsd\u00f3ttir)\u00a0On the Uniqueness of the Solution to a Variational Problem in Image Processing. (<a href=\"http:\/\/uni.hi.is\/siv\/files\/2017\/07\/charfunc.pdf\">pdf<\/a>)\u00a0Technical Report of the Science Institute of the University of Iceland, RH-09-2010, May 2010.<\/li>\n<li>Optimisers for the Brascamp\u2013Lieb inequality. (<a href=\"http:\/\/uni.hi.is\/siv\/files\/2017\/07\/optimisers.pdf\">pdf<\/a>)\u00a0Isr. J. Math. (2008) 168: 253.\u00a0<a href=\"https:\/\/doi.org\/10.1007\/s11856-008-1067-1\">https:\/\/doi.org\/10.1007\/s11856-008-1067-1<\/a>.<\/li>\n<li>On the Hessian of the Optimal Transport Potential. (<a href=\"http:\/\/uni.hi.is\/siv\/files\/2017\/07\/hessian.pdf\">pdf<\/a>)\u00a0Annali della Scuola Normale Superiore di Pisa \u2013\u00a0Classe di Scienze, S\u00e9rie 5: Volume 6 (2007) no. 3, p. 441-456.\u00a0<a href=\"http:\/\/www.numdam.org\/item?id=ASNSP_2007_5_6_3_441_0\">http:\/\/www.numdam.org\/item?id=ASNSP_2007_5_6_3_441_0<\/a><\/li>\n<li>The Brascamp\u2013Lieb polyhedron. (<a href=\"http:\/\/uni.hi.is\/siv\/files\/2017\/07\/blpolyhedron.pdf\">pdf<\/a>) Canadian Journal of Mathematics,\u00a0<span class=\"label\">Volume:\u00a0<\/span><span class=\"data_bold\">62 (2010)\u00a0<\/span><span class=\"label\">Issue:\u00a0<\/span><span class=\"data_bold\">4\u00a0<\/span><span class=\"label\">Pages:\u00a0<\/span><span class=\"data_bold\">870-888 <a href=\"https:\/\/doi.org\/10.4153\/CJM-2010-045-2\">https:\/\/doi.org\/10.4153\/CJM-2010-045-2<\/a><\/span><\/li>\n<li>A multilinear generalisation of the Hilbert transform and fractional integration. (<a href=\"http:\/\/uni.hi.is\/siv\/files\/2017\/07\/multilinear.pdf\">pdf<\/a>) Revista Matematica Iberoamericana, Volume:\u00a028 (2012) Issue:\u00a01 Pages:\u00a025-55\u00a0<a href=\"https:\/\/doi.org\/10.4171\/RMI\/665\">https:\/\/doi.org\/10.4171\/RMI\/665<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>I used to be a post-doc in the Mathematics Division at the Science Institute at the University of Iceland. This page contains information about my research. Papers and preprints The pdf files do not exactly match the final published versions. (with A. Carbery) Colouring Multijoints. (arXiv:1403.6449)\u00a0Discrete &amp; Computational Geometry,\u00a0Volume:\u00a052 (2014)\u00a0Issue:\u00a04\u00a0Pages:\u00a0730-742\u00a0https:\/\/doi.org\/10.1007\/s00454-014-9611-8 (with A. Carbery)\u00a0The endpoint multilinear [&hellip;]<\/p>\n","protected":false},"author":505,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-13","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/pages\/13","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/users\/505"}],"replies":[{"embeddable":true,"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/comments?post=13"}],"version-history":[{"count":19,"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/pages\/13\/revisions"}],"predecessor-version":[{"id":39,"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/pages\/13\/revisions\/39"}],"wp:attachment":[{"href":"https:\/\/uni.hi.is\/siv\/wp-json\/wp\/v2\/media?parent=13"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}