{"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>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 columns-3 wp-block-latest-posts\"><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: &#8220;Realizability and tameness of fusion systems&#8221;. Proc. London Math. Soc.\u00a0127 (2023), 1816-1864. https:\/\/doi.org\/10.1112\/plms.12571\u00a0[online, preprint]. Bob Oliver, Albert Ruiz: &#8220;Simplicity of fusion systems of finite simple groups&#8221;. 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 noreferrer\">Llegiu-ne m\u00e9s<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\">&#8220;All realizable fusion systems are tame&#8221;. VI Encuentro Conjunto RSME-SMM, Val\u00e8ncia, 2024. &#8220;An\u00e1lisis Topol\u00f3gico de Datos&#8220;. Semana de la Ciencia. Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1, 2023. &#8220;Homolog\u00eda persistente&#8220;. Semana de la Ciencia. Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1, 2023. &#8220;Fusion systems of finite simple groups&#8220;. 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 noreferrer\">Llegiu-ne m\u00e9s<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}]}}