{"id":647,"date":"2025-05-06T12:32:31","date_gmt":"2025-05-06T11:32:31","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/albert\/?page_id=647"},"modified":"2025-05-06T16:02:30","modified_gmt":"2025-05-06T15:02:30","slug":"research-2","status":"publish","type":"page","link":"https:\/\/mat.uab.cat\/web\/albert\/language\/en\/research-2\/","title":{"rendered":"Research"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">My ORCID number is <a href=\"https:\/\/orcid.org\/0000-0002-1274-3122\">0000-0002-1274-3122<\/a>.<br><br>I work in the <a href=\"http:\/\/mat.uab.cat\/topalg\">research group of Algebraic Topology at the Universitat Aut\u00f2noma de Barcelona<\/a> and <a href=\"http:\/\/mat.uab.cat\/~ligat\">Laboratori d&#8217;Interaccions en Geometria, \u00c0lgebra i Topologia<\/a>. My main interests are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Classification of saturated fusion systems of groups.<\/li>\n\n\n\n<li>Exotic examples of p-local finite groups.<\/li>\n\n\n\n<li>Classifying spaces of finite groups, compact groups and Kac-Moody groups.<\/li>\n\n\n\n<li>Mapping spaces between classifying spaces.<\/li>\n\n\n\n<li>Cohomological unicity of classifying spaces.<\/li>\n<\/ul>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid wp-block-latest-posts is-layout-flow wp-block-latest-posts-is-layout-flow\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/albert\/language\/en\/2024\/12\/19\/publications\/\">Publications<\/a><div class=\"wp-block-latest-posts__post-excerpt\">Carles Broto, Jesper M\u00f8ller, Bob Oliver, Albert Ruiz: \u00abRealizability and tameness of fusion systems\u00bb. Proc. London Math. Soc.\u00a0127 (2023), 1816-1864. https:\/\/doi.org\/10.1112\/plms.12571\u00a0[online, preprint]. Bob Oliver, Albert Ruiz: \u00abSimplicity of fusion systems of finite simple groups\u00bb. Trans. Amer. Math. Soc. 374 (2021), no. 11, 7743-7777 [online , preprint , graph of results].\u2026 <a class=\"wp-block-latest-posts__read-more\" href=\"https:\/\/mat.uab.cat\/web\/albert\/language\/en\/2024\/12\/19\/publications\/\" rel=\"noopener\">M\u00e9s informaci\u00f3<span class=\"screen-reader-text\">: Publications<\/span><\/a><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/albert\/language\/en\/2024\/12\/17\/talks\/\">Talks<\/a><div class=\"wp-block-latest-posts__post-excerpt\">\u00abAll realizable fusion systems are tame\u00bb. VI Encuentro Conjunto RSME-SMM, Val\u00e8ncia, 2024. \u00abAn\u00e1lisis Topol\u00f3gico de Datos\u00ab. Semana de la Ciencia. Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1, 2023. \u00abHomolog\u00eda persistente\u00ab. Semana de la Ciencia. Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1, 2023. \u00abFusion systems of finite simple groups\u00ab. Seminario Virtual\u2026 <a class=\"wp-block-latest-posts__read-more\" href=\"https:\/\/mat.uab.cat\/web\/albert\/language\/en\/2024\/12\/17\/talks\/\" rel=\"noopener\">M\u00e9s informaci\u00f3<span class=\"screen-reader-text\">: Talks<\/span><\/a><\/div><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/mat.uab.cat\/web\/albert\/language\/en\/2016\/05\/18\/phd-thesis-advised\/\">PhD Thesis advised<\/a><div class=\"wp-block-latest-posts__post-excerpt\">Toni Lozano Bag\u00e9n, On the exoticness of some new p-local compact groups. April 23, 2016.<\/div><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>My ORCID number is 0000-0002-1274-3122. I work in the research group of Algebraic Topology at the Universitat Aut\u00f2noma de Barcelona and Laboratori d&#8217;Interaccions en Geometria, \u00c0lgebra i Topologia. My main interests are:<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-647","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/pages\/647","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/comments?post=647"}],"version-history":[{"count":2,"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/pages\/647\/revisions"}],"predecessor-version":[{"id":664,"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/pages\/647\/revisions\/664"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/albert\/wp-json\/wp\/v2\/media?parent=647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}